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## GO MATH! : grade 3-2018

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## HOUGHTON MIFFLIN HARCOURT GO MATH! Grade 3

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Textbook: HOUGHTON MIFFLIN HARCOURT GO MATH! Grade 3 ISBN: 9780547587851

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## Whole Number Operations

Addition and subtraction within 1,000.

Domains Operations and Algebraic Thinking Number and Operations in Base Ten

Common Core Standards CC.3.OA.8, CC.3.OA.9, CC.3.NBT.1, CC.3.NBT.2

## Number Patterns

Round to the nearest ten or hundred, estimate sums, mental math strategies for addition, use properties to add, use the break apart strategy to add, combine place value to subtract, represent and interpret data.

Domains Measurement and Data

Common Core Standards CC.3.MD.3, CC.3.MD.4

## Organize Data

Use picture graphs, make picture graphs, use bar graphs, make bar graphs, solve problems using data, use and make line plots, understanding multiplication.

Domains Operations and Algebraic Thinking

Common Core Standards CC.3.OA.1, CC.3.AO.3, CC.3.OA.5, CC.3.OA.8

## Count Equal Groups

Relate addition and multiplication, skip count on number line, model multiplication, model with arrays, commutative property of multiplication, multiply with 1 and 0, multiplication facts and strategies.

Common Core Standards CC.3.OA.3, CC.3.OA.5, CC.3.OA.7, CC.3.OA.7, CC.3.OA.8, CC.3.OA.9

## Multiply with 2 and 4

Multiply with 5 and 10, multiply with 3 and 6, distributive property, multiply with 7, associative property with multiplication, patterns on multiplication tables, multiply with 8, multiply with 9, use multiplication facts.

Common Core Standards CC.3.OA.4, CC.3.OA.9, CC.3.NBT.3

## Describe Patterns

Find unknown factors, use the distributive property, multiplication strategies with multiples of 10, multiply multiples of 10 by 1-digit numbers, understanding division.

Common Core Standards CC.3.OA.2, CC.3.OA.3, CC.3.OA.5, CC.3.OA.6, CC.3.OA.7

## Model Division

Size of equal groups, number of equal groups, model with bar models, relate subtraction and division, relate multiplication and division, write related facts, division rules for 1 and 0, division facts and strategies.

Common Core Standards CC.3.OA.3, CC.3.OA.4, CC.3.OA.7, CC.3.OA.8

## Divide by 2

Divide by 10, divide by 5, divide by 3, divide by 4, divide by 6, divide by 7, divide by 8, divide by 9, two-step problems, order of operations, understand fractions.

Domains Numbers and Operations – Fractions

Common Core Standards CC.3.NF.1, CC.3.NF.2a, CC.3.NF.2b, CC.3.NF.3c

## Equal Parts of a Whole

Equal shares, unit fractions of a whole, fractions of a whole, fractions on a number line, relate fractions and whole numbers, fractions of a group, find part of a group using unit fractions, compare fractions.

Common Core Standards CC.3.NF.3a, CC.3.NF.3b, CC.3.NF.3d

## Compare Fractions with the Same Denominator

Compare fractions with the same numerator, compare and order fractions, model equivalent fractions, equivalent fractions, measurement, time, length, liquid volume, and mass.

Common Core Standards CC.3.MD.1, CC.3.MD.2, CC.3.MD.4

## Time to the Minute

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Common Core Standards CC.3.MD.5, CC.3.MD.5a, CC.3.MD.5b, CC.3.MD.7, CC.3.MD.7a, CC.3.MD.7b, CC.3.MD.7c, CC.3.MD.7d, CC.3.MD.8

## Model Perimeter

Find perimeter, understand area, measure area, use area models, area of rectangles, area of combined rectangles, same perimeter, different areas, same area, different perimeters, two-dimensional shapes.

Domains Geometry

Common Core Standards CC.3.G.1, CC.3.G.2

## Describe Plane Shapes

Describe angels in place shapes, identify polygons, describe sides of polygons, classify quadrilaterals, draw quadrilaterals, describe triangles.

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## Related Papers

Cognition and Instruction

Magdalene Lampert

Raimundo Olfos

This essay clarifies what it means to know mathematics by examining ways of knowing multiplication and explores what those ways of knowing imply for the teaching and learning of mathematics in schools. It reviews the perennial argument about whether computational skill or conceptual understanding should guide the school curriculum. A mathematical analysis of the process of multiplication, a conceptual analysis of mathematical cognition, and speculative research on classroom teaching and learning are presented to support this argument. Included are descriptions of several lessons in which children are being taught about multiplying large numbers. The descriptions focus on the connections that can be made in teaching among students ' naive, concrete, computational, and conceptual knowledge. (Author)

T. McLaughlin , Randy Lee Williams

The purpose of this study was to evaluate the effects of the Direct Instruction (DI) flashcards procedure and the math racetrack to improve mastery of multiplication facts by a 6 th grade girl enrolled in a resource room classroom in a parochial school. The dependent variable was the number correct for multiplication facts. A second measure was the number of correct multiplication math facts from a pre-and posttest of 100 multiplication problems. The number of seconds required to complete the math racetrack was assessed. The effect of the DI flashcard procedure was evaluated in a single-subject multiple-baseline design between three sets of multiplication math facts. Our results indicated a clear functional relationship between the implementation of the DI multiplication flashcards and the mastery of multiplication facts with Sets 1 through 3. By the end of data collection, our participant had increased her performance on a 100-problem, 5-minute, multiplication test from the pretest of 34 facts to the posttest of 55 facts.. The procedures were cost effective and required little training to implement.

Dr. Jung Colen

For elementary school children, learning the standard multiplication algorithm with accuracy, clarity, consistency, and efficiency is a daunting task. Nonetheless, what should be our expectation in procedural fluency, for example, in finding the product of 25 and 37 among fifth grade students? Collectively, has the mathematics education community emphasized the value of conceptual understanding to the detriment of procedural fluency? In addition to examining these questions, we survey multiplication algorithms throughout history and in textbooks and reconceptualize the standard multiplication algorithm by using a new tool called the Multiplication Aid Template.

Abdulaziz Ahmed

Cody J . Perry

Ari Sulistiyorini

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## Go Math Grade 3 Chapter 4 Answer Key Pdf Multiplication Facts and Strategies

Go math answer key for grade 3 chapter 4 multiplication facts and strategies.

Go Math Grade 3 Chapter 4 Answer Key Pdf: Go Math Grade 3 Answer Key Chapter 4 Multiplication Facts and Strategies helps thousands of students to achieve excellent grades. Students can effectively solve problems and grab knowledge and skills by using Go Math Grade 3 Answer Key. Help your students keep up and catch up to do the math with the reference of HMH Go Math Solution Key Grade 3. It’s important to know the process of solving a problem more than finding the correct answer to improve the skills of your students. Go Math Answer Key Grade 3 Chapter 4 Multiplication Facts and Strategies will give all that flexibility to build their confidence to do math in an easy way.

## Multiplication Facts and Strategies Go Math Grade 3 Chapter 4 Answer Key Pdf

In order to move successfully, refer to Grade 3 Multiplication Facts. Help your children to move to the next grade level by encouraging them with a lot of practice. Use Go Math Grade 3 Answer Key Chapter 4 Multiplication Facts and Strategies and achieve your goals easily.

Lesson 1: Multiply with 2 and 4

## Multiply with 2 and 4 Page No 195

Multiply with 2 and 4 lesson check page no 196.

Lesson 2: Multiply with 5 and 10

## Multiply with 5 and 10 Page No 201

Multiply with 5 and 10 lesson check page no 202.

Lesson 3: Multiply with 3 and 6

## Multiply with 3 and 6 Page No 207

Multiply with 3 and 6 lesson check page no 208.

Lesson 4: Algebra • Distributive Property

## Distributive Property Page No 213

Distributive property lesson check page no 214.

Lesson 5: Multiply with 7

## Multiply with 7 Page No 219

Multiply with 7 lesson check page no 220.

Mid-Chapter Checkpoint

## Mid-Chapter Checkpoint Page No 221

Mid-chapter checkpoint page no 222.

Lesson 6: Algebra • Associative Property of Multiplication

## Associative Property of Multiplication Page No 227

Associative property of multiplication lesson check page no 228.

Lesson 7: Algebra • Patterns on the Multiplication Table

## Patterns on the Multiplication Table Page No 233

Patterns on the multiplication table lesson check page no 234.

Lesson 8: Multiply with 8

## Multiply with 8 Page No 239

Multiply with 8 lesson check page no 240.

Lesson 9: Multiply with 9

## Multiply with 9 Page No 245

Multiply with 9 lesson check page no 246.

Lesson 10: Problem Solving • Multiplication

## Multiplication Page No 251

Multiplication lesson check page no 252.

Chapter 4 Review/Test

## Review/Test Page No 253

Review/test page no 254, review/test page no 255, review/test page no 256, review/test page no 257, review/test page no 258.

Write a multiplication sentence for the model.

Answer: 2 × 5 = 10

Explanation: Draw 2 counters. Place 5 Objectives in 2 counters. Count the total number of objectives and them. Add 5 + 5 to get the answer. Finally, you get 10 .

Find the product.

Answer: 4×3 = 12

Explanation: Look at the above figure. You can see 4 Counters and 3 objectives on each counter. So, you have to multiply 4×3 . When you multiply with 4, you can first multiply with 2 and then double the product. Multiply 3 with 2. You will get 2×3 is 6 . Now, double the number 6. The final answer is 12 .

Question 3. 2 × 6 ——– ________

Answer: 2×6 = 12

Explanation: When there is a multiplication requires with 2, you can double the given number 6 to get the final answer . The answer is 6+6 = 12 .

Question 4. 4 × 8 ——— ________

Answer: 4×8 = 32

Explanation: You can double 2×8 to get 4×8 . Multiply 8 with 2. You will get 16. Then, double the product to get the answer to 4×8. You will get 16+16 = 32. So, you get the final answer as 32 .

Go Math 3rd Grade Homework Book Answers Question 5. 2 × 3 ——– ________

Answer: 2×3 = 6

Explanation: Draw two counters. Place three objectives in two counters. Now, add the objectives in two counters. The final answer is 3+3 = 6. So, 2×3=6 is the answer.

Question 6. 4 × 6 ——— _________

Answer: 4×6 = 24

Explanation: You can double 2×6 to get 4×6. Multiply 6 with 2. You will get 12. Then, double the product to get the answer to 4×6. You will get 12+12 = 24 . So, you get the final answer as 24 .

Question 7. 4 × 4 ——— _________

Answer: 4×4 = 16

Explanation: Multiply 4 with 2. 2×4 = 8. Now, double the number 8. 8+8 = 16. The answer for 4×4 is 16

Question 8. 2 × 7 ——– _________

Answer: 2×7 = 14

Explanation: The given multiplication is 2×7. The answer to any number multiplies with 2 is double of that number. So, the 2×7 can find by doing 7+7. The answer is 7+7 = 14. So, the final answer is 2×7 = 14.

Question 9. 4 × 5 ——— _________

Answer: 4×5 = 20

Explanation: Firstly, multiply 2×5 to get the answer for 4×5. Then, double the answer of 2×5 to get the final answer. So, do 2×5 = 10. Double the number 10 to get the 4×5 Answer. The double of 10 is 10+10 = 20. The answer to 4×5 is 20 .

Question 10. 2 × 4 ——– _________

Answer: 2×4 = 8

Explanation: The multiplication begins with 2. So, you can double 4 to get the answer of 2×4. The double of 4 is 4+4 = 8. The answer for 2×4 is 8 .

Problem Solving

Question 11. On Monday, Steven read 9 pages of his new book. To finish the first chapter on Tuesday, he needs to read double the number of pages he read on Monday. How many pages does he need to read on Tuesday? __________ pages

Explanation: Steven read 9 pages of his new book on Monday. He wants to finish his first chapter on Tuesday. To finish the chapter, he needs to double the number of pages he read on Monday.

Double of pages read on Monday = 9 x 2 =18.

Steven needs to read 18 pages on Tuesday.

Go Math Grade 3 Chapter 4 Answer Key Pdf Question 12. Courtney’s school is having a family game night. Each table has 4 players. There are 7 tables in all. How many players are at the game night? __________ players

Explanation: From the given information Courtney’s school is having a family game night. Each table has 4 players. There are 7 tables in all. So, every table has 4 players. To know the total number of players at the game night, we need to multiply 7 with 4.

Total Number of players at the game night = 7 x 4 = 28.

Lesson Check

Explanation: The above figure consists of 4 counters. Also, each counter has two objectives in it. So, we need to multiply the number of counters with a number of objectives. The answer is 4×2 = 8 .

Question 2. Find the product. 2 × 8 ——- ________ Options: a. 10 b. 14 c. 16 d. 18

Explanation: To solve the 2×8, double the number 8. The answer for 2×8 is 8+8. S o, the final answer is 2×8 = 16.

Question 3. Sean made a picture graph to show his friends’ favorite colors. This is the key for the graph. Each Ο = 2 friends. How many friends does Ο Ο Ο Ο stand for? Options: a. 4 b. 8 c. 20 d. 40

Explanation: Sean made 4 picture graphs to show his friends’ favorite colors. Each Ο represents 2 friends. So, to find the final answer, we need to add all the colors. As there are 4 picture graphs you need to do 2+2+2+2 = 8. There are 8 friends available.

Explanation: In the above table, we can see three different walking trails lengths of three persons. The walking trail length of the Mountain is 844feets. The walking trail length of Lake is 792 feet. Also, the Harmony walking trail length is 528 feet. To get How many feet longer is Mountain Trail than Harmony Trail, we need to subtract Harmony walking trail length from Mountain Trail length. So, now we have to do 844-528 which is equal to 316 feet. S o, Mountain Trail walked 316 feet than Harmony trail.

Question 5. Find the sum. 5 2 7 + 1 5 4 ———- Options: a. 373 b. 581 c. 671 d. 681

Explanation: Break apart the addends from the given values. Start with the hundreds. Then, add each place value. Let’s write 527 as 500+20+7 and 154 as 100+50+4. Sum up the above two values. Then you get 600+70+11. Add the ones and then add the 10’s and 100’s. The final answer is 681 .

Question 6. A bar graph shows that sports books received 9 votes. If the scale is 0 to 20 by twos, where should the bar end for the sports books? Options: a. between 8 and 10 b. on 10 c. on 8 d. between 6 and 8

Explanation: As per the given data, the sports books received 9 votes. If we take a bar graph with a scale of 0 to 20 by twos, the graph is 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. So, the number 9 will lie between numbers 8 to 10. Therefore, the answer is between 8 and 10 .

Question 1. 5 × 7 = 35

Explanation: Skip count by 5’s until you say 7 numbers. 5, 10, 15, 20, 25, 30, 35. Now, the count of the number is 7. So, the answer for 5 x 7 is 35 .

Question 2. 5 × 1 = _______

Explanation: Any number multiplied by 1 is the same number. So, the answer is 5 .

Question 3. 2 × 10 = _______

Explanation: A multiple of 10 is any product that has 10 as one of its factors. So, the multiplication of any number with 10 is 10’s of that particular number. The answer is 20.

Question 4. ________ = 8 × 5

Explanation: From Commutative Law of Multiplication, you can write 8 x 5 = 5 x 8. So, to find the multiplication of 5 x 8, Skip count by 5’s until you say 8 numbers. 5, 10, 15, 20, 25, 30, 35, 40. Now, the count of the number is 8. So, the answer for 5 x 8 is 40. Therefore, the answer for 8 x 5 is 40 .

Question 5. 1 × 10 = ________

Explanation: Multiplication of any number with 1 is the same number. So, 1 x 10 = 10 .

Question 6. _______ = 4 × 5

Explanation: Using the Commutative Law of Multiplication, you can write 4 x 5 = 5 x 4. Now, Skip count by 5’s until you say 4 numbers. 5, 10, 15, 20. Therefore, the answer for 5 x 4 is 20.

Question 7. 5 × 10 = _______

Explanation: Skip-count by 5’s 10 times. You can write as 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. The answer for 5 x 10 is 50 .

Question 8. 7 × 5 = ________

Explanation: Write 7 x 5 as 5 x 7 according to the Commutative Law of Multiplication. Now do multiply for 5 x 7. Skip-count by 5’s seven times. Now, you can write as 5, 10, 15, 20, 25, 30, 35. The answer for 5 x 7 is 35. So, the answer for 7 x 5 is also 35.

Question 9. _______ = 5 × 5

Explanation: Skip-count by 5’s 5 times. You can get 5, 10, 15, 20, 25. The answer for 5 x 5 is 25.

Chapter 4 Review Test Go Math 3rd Grade Question 10. 5 × 8 = _________

Explanation: You can Skip-count by 5’s 8 times. Write like 5, 10, 15, 20, 25, 30, 35, 40. So, the answer for 5 x 8 is 40.

Question 11. ______ = 5 × 9

Explanation: The multiplication of 5 × 9 is calculated as Skip-count by 5’s 9 times. You can write as 5, 10, 15, 20, 25, 30, 35, 40, 45. The final answer for 5 × 9 is 45.

Question 12. 10 × 0 = _________

Explanation: Multiplication of any number with 0 is 0. So, the answer for 10 x 0 is 0.

Question 13. 5 × 6 ——– ________

Explanation: Skip count by 5’s until you say 6 numbers. 5, 10, 15, 20, 25, 30. So, the answer for 5 x 6 is 35.

Question 14. 10 × 7 ——— ________

Explanation: Add 10’s until you say 7 numbers. Now, you can write as 10 + 10 + 10 + 10 + 10 + 10 + 10. Now, add the 10’s to get the final answer. There are seven 10’s available. So, the answer is 70.

Question 15. 5 × 3 ——– ________

Explanation: Skip count by 5’s until you say 3 numbers. Write like 5, 10, 15. The answer for 5 x 3 is 15.

Question 16. 10 × 4 ——– _________

Explanation: Add 10’s until you say 4 numbers. Then, write like 10 + 10 + 10 + 10 to get the answer. The answer for 10 x 4 is 40.

Question 17. 5 × 0 ——- _________

Explanation: Multiplication of any number with 0 is 0. So, the answer for 5 x 0 is 0.

Question 18. 10 × 8 ——- __________

Explanation: You have to add 10’s until you say 8 numbers. Write as 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10. Now, add the 10’s to get the final answer. There are eight 10’s available. So, the answer for 10 x 8 is 80.

Question 19. 5 × 2 ——- __________

Explanation: Skip count by 5’s until you say 2 numbers. Write like 5, 10. The answer for 5 x 2 is 10.

Question 20. 10 × 6 ——– _________

Explanation: Add 10’s until you say 6 numbers. Write as 10 + 10 + 10 + 10 + 10 + 10. Now, add the 10’s to get the final answer. So, the answer for 10 x 6 is 60.

Question 21. Ginger takes 10 nickels to buy some pencils at the school store. How many cents does Ginger have to spend? ________ cents

Explanation: From the given data, Ginger takes 10 nickels to buy some pencils at the school store. One nickel can be treated as 5 cents. So, 10 nickels value is 10 nickels x 5 cents = 50 cents.

Ginger has to spend 50 cents to buy some pencils at the school store.

Question 22. The gym at Evergreen School has three basketball courts. There are 5 players on each of the courts. How many players are there in all? __________ players

Explanation: As per the given data, the gym at Evergreen School has three basketball courts. There are 5 players on each of the courts. The number of players in there in all = 3 basketball courts x 5 players = 15 players.

15 players are available in total.

Question 1. Mrs. Hinely grows roses. There are 6 roses on each of her 10 rose bushes. How many roses in all are on Mrs. Hinely’s rose bushes? Options: a. 16 b. 54 c. 60 d. 66

Explanation: There are 10 rose bushes available. In each rose bush, Mrs. Hinely growing 6 roses. So, to find the number of roses, you need to multiply 10 x 6. The multiplication of 10 x 6 is 60. The number of roses in all are on Mrs. Hinely’s rose bushes are 60.

Question 2. Find the product. 5 × 8 ——- Options: a. 8 b. 16 c. 35 d. 40

Explanation: Skip-count by 5’s 8 times. Write like 5, 10, 15, 20, 25, 30, 35, 40. So, the answer for 5 x 8 is 40.

Spiral Review

Answer: c. Zoo

Explanation: From the given figure, Mr. Miller’s class voted for a field trip. From the table, every start represents 2 votes. It is mentioned that for the Science Center, Mr. Miller’s given two starts. As one star represents 2 votes, he gave 4 votes for Science Center. Similarly, Aquarium = 3 and a half stars. The half star represents one vote. So, the number of votes given for the Aquarium is 7. For Zoo, he has given 4 stars. So, every start means 2 votes. The total number of votes is 8. Finally, the number of starts for the Museum is 2. So, the total number of votes is 4.

Mr. Miller’s class is given a high number of votes for Zoo. So, Mr. Miller’s class wishes to go for Zoo.

Answer: c. 47

Explanation: Zack prepared a table of flavors and votes. So, every vote represents one person. By adding the total number of votes, we can get the total number of students participated in ina survey. Add 16 + 10 + 9 + 12 = 47. 47 students were surveyed in all to vote for their favorite juice.

Question 5. Which of the following numbers is even? 25, 28, 31, 37 Options: a. 25 b. 28 c. 31 d. 37

Answer: b. 28

Explanation: Even numbers are divided by 2. Also, even numbers end with a digit of 0, 2, 4, 6, or 8. So, the given number out of the given numbers is 28. It is ended with 8 and also it can divide by 2.

Question 6. Estimate the sum. 4 7 9 + 8 9 ——— Options: a. 568 b. 400 c. 500 d. 600

Answer: a. 568

Explanation: Add the ones. Regroup the ones as tens and ones. So, 9 + 9 = 18. Remain the 8 same and add the 1 to the tens. Add the tens. Regroup the tens as hundreds and tens. Now, add 7 + 8 + 1 = 16. place the 6 in the tens place and move the 1 to hundreds. Add the hundreds now. 4 + 1 = 5. So, now place the numbers in order. The final answer is 568.

Note: The option is modified for the above question. There is no correct answer available in the given options. So, option a is changed to the correct answer. The answer is explained with the place value to add two addends method.

Question 1. 6 × 4 = 24 Think: You can use doubles. 3 × 4 = 12 12 + 12 = 24

Explanation: By using doubles, we can find a 6 x 4 value. First, multiply the factor with half of 6. So, now we can do 3 x 4 = 12. Now, we can double the value of 3 x 4. That is 12 + 12 = 24. So, the answer for 6 x 4 = 24.

Question 2. 3 × 7 = _______

Explanation: Skip count by 3’s until you say 7 numbers. 3, 6, 9, 12, 15, 18, 21. So, the answer for 3 x 7 is 21.

Question 3. ________ = 2 × 6

Explanation: With the Commutative Law of Multiplication, you can write 2 x 6 as 6 x 2. Multiply the factor 2 with 5 and then add the factor to it to get the final answer. First, multiply the factor with 5. That is 5 x 2 = 10. Now, add the factor with the answer of 5 x 2. 10 +2 = 12. The answer for 6 x 2 is 12. So, the answer for 2 x 6 is 12.

Question 4. ________ = 3 × 5

Explanation: You can skip count by 3’s until you say 5 numbers. 3, 6, 9, 12, 15. So, the final answer for 3 x 5 is 15.

Question 5. 1 × 3 = ________

Explanation: Multiplication of any number with 1 is the same number. So, 1 x 3 = 3.

Question 6. ________ = 6 × 8

Explanation: Use doubles to find the answer of 6 x 8. Firstly, multiply 3 x 8 = 24. Then, double the value of 3 x 8. 24 + 24 = 48. The answer for 6 x 8 is 48.

Question 7. 3 × 9 = ________

Explanation: Skip count by 3’s until you say 9 numbers. Write like 3, 6, 9, 12, 15, 18, 21, 24, 27. The answer for 3 x 9 is 27.

Question 8. _______ = 6 × 6

Explanation: Use doubles to find the answer of 6 x 6. Firstly, multiply 3 x 6 = 18. Then, double the value of 3 x 6. 18 + 18 = 36. The answer for 6 x 6 is 36.

Question 9. 4 × 3 —— ________

Explanation: Write 4 x 3 as 3 x 4 according to the Commutative Law of Multiplication. Now do multiplication for 3 x 4. Skip-count by 3’s four times. Now, you can write as 3, 6, 9, 12. The answer for 3 x 4 is 12. So, the answer for 4 x 3 is also 12.

Go Math Grade 3 Chapter 4 Pdf Question 10. 6 × 5 —— _________

Explanation: Multiply the given factor 5 with 5. Then, add 5 to the answer to get the answer for 6 x 5. Firstly, multiply 5 x 5 = 25. Add 5 to 25. 5 + 25 = 30. So, the answer for 6 x 5 is 30.

Question 11. 2 × 3 —— _________

Explanation: Using the Commutative Law of Multiplication, you can write 2 x 3 = 3 x 2. Now, Skip count by 3’s until you say 2 numbers. 3, 6. Therefore, the answer to 3x 2 is 6. The answer for 2 x 3 is 6.

Question 12. 6 × 3 ——– _________

Explanation: Double the value of 3 x 3 to get the answer for 6 x 3. The answer for 3 x 3 = 9. Now, double the value of 9. The answer for 6 x 3 is 9 + 9 = 18.

Question 13. 10 × 6 ——- _________

Explanation: Using the Commutative Law of Multiplication, you can write as 10 x 6 = 6 x 10. Now, multiply the 10 with 5. The answer is 5 x 10 = 50. Now, add the 10 to 50 to get the answer. The answer for 6 x 10 is 10 + 50 = 60. So, the answer for 10 x 6 is 60.

Question 14. 3 × 6 ——- __________

Explanation: Skip-count by 3’s 6 times. You can write as 3, 6, 9, 12, 15, 18. The answer for 3 x 6 is 18.

Question 15. 7 × 6 ——- __________

Explanation: With the help of the Commutative Law of Multiplication, you can change 7 x 6 to 6 x 7. Double the value of 3 x 7 to get 6 x 7. Now, do 3 x 7 = 21. Double the 21. 21 + 21 = 42. The answer for 6 x 7 = 42. So, the answer for 7 x 6 is 42.

Question 16. 3 × 0 ——- _________

Explanation: Multiplication of any number with 0 is 0. So, the answer for 3 x 0 is 0.

Question 17. 9 × 6 ——- __________

Explanation: Write 9 x 6 as 6 x 9 using the Commutative Law of Multiplication. Multiply the 9 with 5. 5 x 9 = 45. Now add the 45 to the 9. So, the answer for 6 x 9 is 45 + 9 = 54. Therefore, the answer for 9 x 6 is 54.

Question 18. 3 × 3 ——- __________

Explanation: Skip count by 3’s until you say 3 numbers. 3, 6, 9. So, the answer for 3 x 3 is 9.

Question 19. 10 × 3 ——– ___________

Explanation: Use Commutative Law of Multiplication to write 10 x 3 to 3 x 10. Now, skip count by 3’s until you say 10 numbers. 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. So, the answer for 3 x 10 is 30. Therefore, the answer for 10 x 3 is 30.

Question 20. 1 × 6 ——– ________

Explanation: Multiplication of any number with 1 is the same number. So, 1 x 6 = 6.

Question 21. James got 3 hits in each of his baseball games. He has played 4 baseball games. How many hits has he had in all? _________ hits

Answer: 12 hits

Explanation: As per the given data, James got 3 hits in each of his baseball games. He has played 4 baseball games. To find the number of hits has he had in all, we need to multiply, 3 hits x 4 baseball games. So, the answer is 3 x 4 = 12 hits.

Question 22. Mrs. Burns is buying muffins. There are 6 muffins in each box. If she buys 5 boxes, how many muffins will she buy? __________ muffins

Answer: 30 muffins

Explanation: From the provided information, Mrs. Burns is buying muffins. She is going to buy 5 boxes each has 6 muffins in it. So, to find the total number of muffins, we need to multiply, number of boxes and number of muffins in it. The total number of muffins = 6 x 5 = 30. She is going to buy 30 muffins.

Question 1. Paco buys a carton of eggs. The carton has 2 rows of eggs. There are 6 eggs in each row. How many eggs are in the carton? Options: a. 8 b. 12 c. 14 d. 24

Answer: b. 12

Explanation: From the given data, Paco buys a carton of eggs. The carton has 2 rows in it. Every row has 6 eggs. To find the number of eggs, we need to multiply the number of rows and the number of eggs for each row. Therefore, the number of eggs in the carton are 2 x 6 = 12. 12 eggs are available in the carton.

Question 2. Find the product. 9 × 3 —— Options: a. 18 b. 24 c. 27 d. 36

Answer: c. 27

Explanation: Use Commutative Law of Multiplication to write 9 x 3 to 3 x 9. Now, skip count by 3’s until you say 9 numbers. 3, 6, 9, 12, 15, 18, 21, 24, 27. So, the answer for 3 x 9 is 27. Therefore, the answer for 9 x 3 is 27.

Question 3. Find the difference. 5 6 8 – 2 8 3 ——— Options: a. 285 b. 325 c. 385 d. 851

Answer: a. 285

Explanation: Subtract the ones. 8 – 3 = 5. Then, Subtract the tens. 6 < 8. So, regroup 5 hundreds 6 tens equal to 4 hundreds 8 tens. 16 – 8 = 8. Subtract the hundreds and add them to check the answer. 4 – 2 = 2. The final answer is 285.

Go Math Grade 3 Chapter 4 Test Pdf Question 4. Dwight made double the number of baskets in the second half of the basketball game than in the first half. He made 5 baskets in the first half. How many baskets did he make in the second half? Options: a. 7 b. 9 c. 10 d. 20

Answer: c. 10

Explanation: Given that Dwight made double the number of baskets in the second half of the basketball game than in the first half. He made 5 baskets in the first half. So, to find the second-half baskets, we need to double the baskets in the first half. Baskets in the second half = 5 x 2 = 10.

Question 5. In Jane’s picture graph, the 😊 smile symbol represents two students. One row in the picture graph has 8 symbols. How many students does that represent? Options: a. 40 b. 32 c. 24 d. 16

Answer: d. 16

Explanation: From Jane’s picture graph, the 😊 smile symbol represents 2 students. The one row in the picture graph has 8 symbols. To find the total number of students, we need to multiply the number of smiles and the number of students for each smile. The number of students for a row is 8 x 2 = 16.

Answer: a. 5 × 6 = 30

Explanation: The given array shows that it has 6 boxes for a row and 5 boxes for a column. So, by multiplying the number of rows x number of columns the correct answer is 6 x 5 = 30. By using the Commutative Law of Multiplication, we can write 6 x 5 = 5 x 6. So, the answer from the given options is 5 × 6 = 30.

Write one way to break apart the array. Then find the product.

Explanation: The given array is 6 x 7. Use the Distributive Property to get the final answer. Break the array rows to make two smaller arrays with the facts 3 and 3. Now, you can write the given array as (3 + 3) x 7. Then, multiply each addend with 7. The equation becomes (3 x 7) +(3 x 7). Now simplify and add them to get the final answer. 21 + 21 = 42.

Explanation: The given array has 8 columns and 4 rows. Simplify the answer using Distributive Property. Now, break the array rows to make two smaller arrays with the facts 2 and 2. To get the answer, we have to write 4 x 8. By doing smaller arrays, you can write it as (2 + 2) x 8. Multiply each addend with 8. The equation becomes (2 x 8) +(2 x 8). Now simplify and add them to get the final answer. 16 + 16 = 32.

Explanation: The given figure has 9 columns and 6 rows. Use Distributive Property to get the answer of a given array. Let’s break the array rows with two smaller arrays with the facts 3 and 3. Now, write the equation as 6 x 9 = (3 + 3) x 9. Multiply each 3 with 9. 27 + 27. The final answer is 54.

Explanation: The given array has 8 columns and 7 rows. With the help of Distributive Property, you can solve the given array. Break the array columns with two smaller arrays with the facts 4 and 4. Write the equation as (7 x 4) + (7 x 4) = 28 + 28 = 56.

Question 5. There are 2 rows of 8 chairs set up in the library for a puppet show. How many chairs are there in all? Use the Distributive Property to solve. ____________ chairs

Explanation: From the given information, there are 2 rows of 8 chairs set up in the library for a puppet show. So, in the array, there are 2 rows and 8 columns. To find the answer, we have to multiply 2 x 8. Using Distributive Property, we can solve 2 x 8. Sum the number 2 with facts 1 and 1. So, we can write as (1 + 1) x 8. Simplify the answer by multiplying each addend to 8. (1 x 8) + (1 x 8) = 8 + 8 = 16. There are 16 chairs available in 2 rows.

Go Math Grade 3 Chapter 4 Pdf Lesson 4.4 Extra Practice Answer Key Question 6. A marching band has 4 rows of trumpeters with 10 trumpeters in each row. How many trumpeters are in the marching band? Use the Distributive Property to solve. ___________ trumpeters

Explanation: From the given information, a marching band has 4 rows of trumpeters with 10 trumpeters in each row. To know the number of trumpeters, we have to calculate 4 x 10. With the help of Distributive Property, you can separate the one number with its sums. Now write the 4 with its sums 2 and 2. (2 + 2) x 10. Now, you can multiply each addend with 10. (2 x 10) + (2 x 10) = 20 + 20 = 40. 40 trumpeters are in the marching band.

Question 1. Which number sentence is an example of the Distributive Property? Options: a. 7 × 6 = 6 × 7 b. 7 × (2 × 3) = (7 × 2) × 3 c. 7 × 6 = (7 × 3) + (7 × 3) d. 7 + 6 = 7 + 3 + 3

Answer: c. 7 × 6 = (7 × 3) + (7 × 3)

Explanation: Distributive Property: The Distributive Property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. So, from the given options, c. 7 × 6 = (7 × 3) + (7 × 3) is the correct answer.

Answer: a. (2 × 6) + (2 × 6)

Explanation: The given figure has 6 columns and 4 rows. By using Distributive Property, you can find the answer easily. Let’s break the array rows with two smaller arrays with the facts 2 and 2. Now, write the equation as 4 x 6 = (2 + 2) x 6. Multiply each 2 with 6. the equation can be written as (2 x 6) + (2 x 6).

Question 3. The school auditorium has 448 chairs set out for the third-grade performance. What is 448 rounded to the nearest ten? Options: a. 500 b. 440 c. 450 d. 400

Answer: c. 450

Explanation: Given that the school auditorium has 448 chairs set out for the third-grade performance. The 448 number lies between 440 and 450. 448 is closer to 450 than it is to 440. So, 448 rounds to 450.

Go Math 3rd Grade Chapter 4 Mid Chapter Checkpoint Question 4. Find the difference. 4 0 0 – 2 9 6 ———- Options: a. 104 b. 114 c. 204 d. 296

Answer: a. 104

Explanation: Subtract the ones. 0<6. so regroup 0 tens 0 ones = 1 tens 4 ones. Now, do 10 – 6 = 4. Then, Subtract the tens. 9 = 9. So, so regroup. 4 hundred 9 tens = 3 hundred 4 tens. 9 – 9 = 0. Subtract the hundreds and add them to check the answer. 3 – 2 = 1. The final answer is 104.

Question 5. There are 622 fruit snacks in one crate and 186 in another crate. How many fruit snacks are there in all? 6 2 2 + 1 8 6 ———- Options: a. 436 b. 708 c. 768 d. 808

Answer: d. 808

Explanation: Break apart the addends from the given values. Start with the hundreds. Then, add each place value. Let’s write 622 as 600 + 20 + 2 and 186 as 100 + 80 + 6. Sum up the above two values. Then you get 700 + 100 + 8. Add the ones and then add the 10’s and 100’s. The final answer is 808.

Answer: a. Football

Explanation: From the given picture, it is mentioned that the sports students play and the number of students for that game. As mentioned, Football needs 6 students. Baseball needs 12 students. Basketball needs 10 students. Also, Soccer needs 16 students. So, the answer is Football sport required 6 students to play.

Question 1. 6 × 7 = 42

Explanation: By using doubles, we can find a 6 x 7 value. First, multiply the factor with half of 6. So, now we can do 3 x 7 = 21. Now, we can double the value of 3 x 7. That is 21 + 21 = 42. So, the answer for 6 x 7 = 42.

Question 2. ________ = 7 × 9

Explanation: Use the Distributive Property to find the value of 7 x 9. If we take 7 rows and 9 columns of an array, then we can break the array into two smaller arrays with the facts of 9. Now, write the 7 x 9 as 7 x (6 + 3). Multiply the facts with the 7. Then, you get (7 x 6) + (7 x 3). Therefore, you get the answer as 42 + 21 = 63.

Question 3. _______ = 1 × 7

Explanation: Multiplication of any number with 1 is the same number. So, 1 x 7 = 7.

Question 4. 3 × 7 = _______

Question 5. 7 × 7 = ________

Explanation: Let us take the array has 7 columns and 7 rows. Simplify the answer using Distributive Property. Now, break the array rows to make two smaller arrays with the facts 4 and 3. To get the answer, we have to write 7 x 7. By doing smaller arrays, you can write it as (4 + 3) x 7. Multiply each addend with 7. The equation becomes (4 x 7) +(3 x 7). Now simplify and add them to get the final answer. 28 + 21 = 49.

Question 6. _______ = 2 × 7

Explanation: Draw two counters. Place seven objectives in two counters. Now, add the objectives in two counters. The final answer is 7 + 7 = 14. So, 2×7 = 14 is the answer.

Question 7. 7 × 8 = _________

Explanation: Distributive Property: The Distributive Property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. So, from the given options, c. 7 × 8 = (7 × 4) + (7 × 4) = 28 + 28 = 56.

Question 8. ______ = 4 × 7

Explanation: Firstly, multiply 2×7 to get the answer for 4×7. Then, double the answer of 2×7 to get the final answer. So, do 2×7 = 14. Double the number 14 to get the 4×7 Answer. The double of 14 is 14 +14 = 28. The answer to 4×7 is 28.

Go Math Grade 3 Chapter 4 Answer Key Question 9. 7 × 5 ——- __________

Explanation: From Commutative Law of Multiplication, you can write 7 x 5 = 5 x 7. So, to find the multiplication of 5 x 7, skip count by 5’s until you say 7 numbers. 5, 10, 15, 20, 25, 30, 35. Now, the count of the number is 7. So, the answer for 5 x 7 is 35. Therefore, the answer for 7 x 5 is 35.

Question 10. 7 × 1 ——- _________

Explanation: Using the Commutative Law of Multiplication, you can write 7 x 1 = 1 x 7. Multiplication of any number with 1 is the same number. So, 1 x 7 = 7.

Question 11. 6 × 7 ——- __________

Explanation: Use doubles to find the answer of 6 x 7. Firstly, multiply 3 x 7 = 21. Then, double the value of 3 x 7. 21 + 21 = 42. The answer for 6 x 7 is 42.

Question 12. 7 × 4 ——- __________

Explanation: Write 7 x 4 as 4 x 7 according to the Commutative Law of Multiplication. Now, do multiplication for 4 x 7. You can double 2×7 to get 4×7. Multiply 7 with 2. You will get 14. Then, double the product to get the answer to 4×7. You will get 14 +14 = 28. So, you get the final answer as 28.

Question 13. 2 × 7 ——- ___________

Explanation: The given multiplication is 2×7. The answer to any number multiplies with 2 is double of that number. So, the 2×7 can find by doing 7+7. The answer is 7+7 = 14. So, the final answer is 2×7 = 14.

Question 14. 10 × 7 —— ____________

Explanation: A multiple of 10 is any product that has 10 as one of its factors. So, the multiplication of any number with 10 is 10’s of that particular number. The answer is 70.

Question 15. 3 × 7 ——- ____________

Explanation: Skip count by 3’s until you say 7 numbers. Write like 3, 6, 9, 12, 15, 18, 21. The answer for 3 x 7 is 21.

Question 16. 7 × 9 —— ___________

Question 17. 8 × 7 ——- __________

Explanation: Distributive Property: The Distributive Property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. So, from the given options, c. 8 x 7 = (4 + 4) x 7 = (4 x 7) + (4 x 7) = 28 + 28 = 56 is the correct answer.

Go Math Grade 3 Chapter 4 Review/Test Pdf Question 18. 7 × 0 —— __________

Explanation: Multiplication of any number with 0 is 0. So, the answer for 7 x 0 is 0.

Question 19. Julie buys a pair of earrings for $7. Now she would like to buy the same earrings for 2 of her friends. How much will she spend for all 3 pairs of earrings? $ __________

Answer: $21

Explanation: From the given information, Julie buys a pair of earrings for $7. She also wants to buy 2 more pairs of earrings for her 2 friends. So, a total she needs to but 3 pairs of earrings. To know the total amount she is going to spend on earrings, we need to multiply the total number of earrings pair with a cost for each earring. So, we can do 3 x $7 = $21. Julie needs to spend $21 to buy 3 pairs of earrings.

Question 20. Owen and his family will go camping in 8 weeks. There are 7 days in 1 week. How many days are in 8 weeks? _________ days

Answer: 56 days

Explanation: Given that Owen and his family will go camping in 8 weeks. There are 7 days in 1 week. So, to calculate the total number of days in 8 weeks, multiply 8 x 7 = 56. There are 56 days in 8 weeks.

Question 1. Find the product. 7 × 8 —— Options: a. 54 b. 56 c. 64 d. 66

Answer: b. 56

Answer: c. 21

Explanation: The given array has 7 columns and 3 rows. Simplify the answer using Distributive Property. Now, break the array rows to make two smaller arrays with the facts 1 and 2. To get the answer, we have to write 3 x 7. By doing smaller arrays, you can write it as (1 + 2) x 7. Multiply each addend with 8. The equation becomes (1 x 7) +(2 x 7). Now simplify and add them to get the final answer. 7 + 14 = 21.

Question 3. Which statement is true about the numbers below? 6, 12, 18, 24, 30 Options: a. All of the numbers are odd. b. Some of the numbers are odd. c. All of the numbers are even. d. Some of the numbers are even.

Explanation: All the given numbers are divided by 2. So, the answer is All of the numbers are even

Answer: b. 39

Explanation: To know more people chose retriever than poodle, we have to do subtraction from retriever to poodle. So, 65 – 26 = 39. 39 more people chose retriever than poodle.

Question 5. What is 94 rounded to the nearest ten? Options: a. 90 b. 94 c. 95 d. 100

Answer: a. 90

Explanation:

94 is between 90 and 100. 94 is closer to 90 than is to 100. 94 rounded to the nearest ten is 90.

Question 6. Jack has 5 craft sticks. He needs 4 times that number for a project. How many craft sticks does Jack need altogether? Options: a. 9 b. 16 c. 20 d. 24

Answer: c. 20

Explanation: Jack has 5 craft sticks. He needs 4 times that number for a project. To find the total number of craft sticks does Jack needs altogether are 5 x 4 = 20. 20 craft sticks need to Jack.

Question 1. A __________ of 4 is any product that has 4 as one of its factors. _________

Answer: Commutative Property of Multiplication

Question 2. This is an example of the ______________ . 3 × 8 = (3 × 6) + (3 × 2) This property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. __________

Answer: Distributive Property of Multiplication

Concepts and Skills

Answer: 7 x 5 = 35

The provided array has 7 columns and 5 rows. Let’s simplify the answer by using Distributive Property. Now, break the array rows to make two smaller arrays with the facts 2 and 3. Now, do 7 x 5. By doing smaller arrays, you can write it as 7 x (2 + 3). Multiply 7 with 2 and 7 with 3. Write (7 x 2) + (7 x 3). Now add them to get the final answer. 14 + 21 = 35.

Answer: 9 x 4 = 36

Explanation: The given array has 9 columns and 4 rows. Now, do 9 x 4. Using Distributive Property break the array rows to make two smaller arrays with the 4 facts 2 and 2. Now, add 9 x (2 + 2). Multiply 9 with 2 and 9 with 2. Write (9 x 2) + (9 x 2). Now add them to get the final answer. 18 + 18 = 36.

Go Math Grade 3 Chapter 4 Multiplication Facts and Answers Question 5. 3 × 1 = __________

Explanation: Using the Commutative Law of Multiplication, Write 3 x 1 = 1 x 3. Multiplication of any number with 1 is the same number. So, 1 x 3 = 3.

Question 6. 5 × 6 = _________

Explanation: Skip-count by 5’s 6 times. You can write as 5, 10, 15, 20, 25, 30. The answer for 5 x 6 is 30.

Question 7. ________ = 7 × 7

Explanation: Use Distributive Property, to get the answer. Given 7 x 7. Write the facts for 7. 7 = 4 + 3. Now, write 7 x 7 = 7 x (4 + 3). Multiply 7 with 4 and 7 with 3. (7 x 4) + (7 x 3) = 28 + 21 = 49.

Question 8. 2 × 10 = _________

Explanation: Double the 10 to get the answer for 2 x 10. So, now write 10 + 10 = 20. The answer for 2 x 10 = 20.

Question 9. 2 × 1 ——– _________

Explanation: Add 1 + 1 to get 2 x 1. 1 + 1 = 2. The answer for 2 x 1 = 2.

Question 10. 6 × 6 ——– _________

Explanation: Use doubles to get 6 x 6. First, multiply 3 x 6 = 18. Then, double the value of 3 x 6. 18 + 18 = 36. The answer for 6 x 6 is 36.

Question 11. 8 × 7 ——- __________

Explanation: Use Distributive Property to find 8 x 7 = (4 + 4) x 7 = (4 x 7) + (4 x 7) = 28 + 28 = 56 is the correct answer.

Question 12. 6 × 0 —— ___________

The multiplication of any number with 0 is 0. So, the answer for 10 x 0 is 0.

Question 13. 3 × 8 ——- __________

Explanation: Skip-count by 3’s 8 times. You can write as 3, 6, 9, 12, 15, 18, 21, 24. The answer for 3 x 8 is 24.

Question 14. Lori saw 6 lightning bugs. They each had 6 legs. How many legs did the lightning bugs have in all? __________ legs

Explanation: Given that, Lori saw 6 lightning bugs. Each lightning bug had 6 legs. To find the total number of legs, do 6 x 6 = 36. The lightning bugs have 36 in all.

Question 15. Zach walked his dog twice a day, for 7 days. Moira walked her dog three times a day for 5 days. Whose dog was walked more times? How many more? Type below: _________

Answer: Moira’s dog walked more than Zach’s dog. It walked one time more than Zach’s dog.

Explanation: Zach walked his dog twice a day, for 7 days. So, Zach’s dog walked 7 x 2 = 14 times in total. Moira walked her dog three times a day for 5 days. Moira’s dog walked 3 x 5 = 15 days. So, Moira’s dog walked more times than Zach’s dog. It walked one time more than Zach’s dog.

Question 16. Annette buys 4 boxes of pencils. There are 8 pencils in each box. Jordan buys 3 boxes of pencils with 10 pencils in each box. Who buys more pencils? How many more? Type below: __________

Answer: Annette has more pencils than Jordan. He has 2 pencils more than Jordan.

Explanation: Annette buys 4 boxes of pencils. Each box has 8 pencils in it. So, Annette has 4 x 8 = 32 pencils. Jordan buys 3 boxes of pencils with 10 pencils in each box. So, he has 3 x 10 = 30 pencils. Annette has 2 pencils more than Jordan.

Question 17. Shelly can paint 4 pictures in a day. How many pictures can she paint in 7 days? _________ pictures

Explanation: Shelly can paint 4 pictures in a day. In 7 days, she can paint 7 x 4 = 28 pictures.

Write another way to group the factors. Then find the product.

Question 1. (3 × 2) × 5 3 × (2 × 5) 30

Explanation: Using the Associative Property of Multiplication, we can write (3 × 2) × 5 = 3 × (2 × 5). Find (3 × 2) × 5. Multiply 3 x 2 = 6. Then, multiply 6 x 5 = 30. Find 3 x (2 x 5). Multiply 2 x 5 = 10. Then, multiply 3 x 10 = 30. So, (3 × 2) × 5 = 3 × (2 × 5). The product value is 30.

Question 2. (4 × 3) × 2 = ________

Answer: (4 × 3) × 2 = 4 x (3 x 2) 24

Explanation: Use Associative Property of Multiplication to write other groups the factors. (4 × 3) × 2 = 4 x (3 x 2). Now, multiply 4 x 3 = 12. Then, multiply 12 x 2 = 24. So, (4 × 3) × 2 = 24.

Question 3. 2 × (2 × 8) = ________

Answer: 2 × (2 × 8) = (2 x 2) x 8 32

Explanation: With Associative Property of Multiplication, 2 × (2 × 8) = (2 x 2) x 8. Now, multiply 2 x 8 = 16. Then, multiply 16 x 2 = 32. So, 2 × (2 × 8) = 32.

Question 4. 9 × (2 × 1) = ________

Answer: 9 × (2 × 1) = (9 × 2) × 1 18

Explanation: Using Associative Property of Multiplication, we can write 9 × (2 × 1) = (9 × 2) × 1. Now, multiply 2 x 1 = 2. Then, multiply 2 x 9 = 18. So, 9 × (2 × 1) = 18.

Question 5. 2 × (3 × 6) = ________

Answer: 2 × (3 × 6) = (2 x 3) x 6 36

Explanation: With the help of Associative Property of Multiplication, we can write 2 × (3 × 6) = (2 x 3) x 6. Now, multiply 2 x 3 = 6. Then, multiply 6 x 6 = 36. So, 2 × (3 × 6) = 36.

Question 6. (4 × 2) × 5 = ________

Answer: (4 × 2) × 5 = 4 x (2 x 5) 40

Explanation: Use Associative Property of Multiplication, to write (4 × 2) × 5 = 4 x (2 x 5). Now, multiply 2 x 5 = 10. Then, multiply 4 x 10 = 40. So, (4 × 2) × 5 = 40.

Use parentheses and multiplication properties. Then, find the product.

Question 7. 9 × 1 × 5 ( 9 × 1 ) × 5 = ________

Answer: ( 9 × 1 ) × 5 = 9 x (1 x 5) 45

Explanation: Use Associative Property of Multiplication. ( 9 × 1 ) × 5 = 9 x (1 x 5). Now, multiply 9 x 1 = 9. Then, multiply 9 x 5 = 45. So, ( 9 × 1 ) × 5 = 45.

Mathematics Grade 3 Pdf Lesson 4.6 Answer Key Question 8. 3 × 3 × 2 ( 3 × 3 ) × 2 = _________

Answer: ( 3 × 3 ) × 2 = 18

Explanation: Use Associative Property of Multiplication. ( 3 × 3 ) × 2 = 3 x (3 x 2). Now, multiply 3 x 3 = 9. Then, multiply 9 x 2 = 18. So, ( 3 × 3 ) × 2 = 18.

Question 9. 2 × 4 × 3 ( 2 × 4 ) × 3 = _________

Answer: ( 2 × 4 ) × 3 = 2 x (4 x 3) 24

Explanation: Now use Associative Property of Multiplication. ( 2 × 4 ) × 3 = 2 x (4 x 3). Now, multiply 2 x 4 = 8. Then, multiply 8 x 3 = 24. So, ( 2 × 4 ) × 3 = 24.

Question 10. 5 × 2 × 3 ( 5 × 2 ) × 3 = _________

Answer: ( 5 × 2 ) × 3 = 5 x (2 x 3) 30

Explanation: Use Associative Property of Multiplication. ( 5 × 2 ) × 3 = 5 x (2 x 3). Now, multiply 5 x 2 = 10. Then, multiply 10 x 3 = 30. So, ( 5 × 2 ) × 3 = 30.

Question 11. 7 × 1 × 5 ( 7 × 1 ) × 5 = ________

Answer: ( 7 × 1 ) × 5 = 7 x (1 x 5) 35

Explanation: Use Associative Property of Multiplication. ( 7 × 1 ) × 5 = 7 x (1 x 5). Now, multiply 7 x 1 = 7. Then, multiply 7 x 5 = 35. So, ( 7 × 1 ) × 5 = 35.

Question 12. 8 × 2 × 3 ( 8 × 2 ) × 3 = _________

Answer: ( 8 × 2 ) × 3 = 8 x (2 x 3) 48

Explanation: Use Associative Property of Multiplication. ( 8 × 2 ) × 3 = 8 x (2 x 3). Now, multiply 8 x 2 = 16. Then, multiply 16 x 3 = 48. So, ( 8 × 2 ) × 3 = 48.

Question 13. 7 × 2 × 3 ( 7 × 2 ) × 3 = ________

Answer: ( 7 × 2 ) × 3 = 7 x (2 x 3) 42

Explanation: Use Associative Property of Multiplication. ( 7 × 2 ) × 3 = 7 x (2 x 3). Now, multiply 2 x 3 = 6. Then, multiply 7 x 6 = 42. So, ( 7 × 2 ) × 3 = 42.

Question 14. 4 × 1 × 3 ( 4 × 1 ) × 3 = ________

Explanation: Use Associative Property of Multiplication. ( 4 × 1 ) × 3 = 4 x (1 x 3). Now, multiply 4 x 1 = 4. Then, multiply 4 x 3 = 12. So, ( 4 × 1 ) × 3 = 12.

Question 15. 10 × 2 × 4 ( 10 × 2 ) × 4 = ________

Explanation: Use Associative Property of Multiplication. ( 10 × 2 ) × 4 = 10 x (2 x 4). Now, multiply 2 x 4 = 8. Then, multiply 10 x 8 = 80. So, ( 10 × 2 ) × 4 = 80.

Question 16. Beth and Maria are going to the county fair. Admission costs $4 per person for each day. They plan to go for 3 days. How much will the girls pay in all? $ _________

Answer: $24

Explanation: From the given information, County fair admission costs $4 per person for each day. To go for 3 days, it costs, 3 x $4 = $12. Beth and Maria are going to the county fair. So, 2 members are going to the county fair. The total amount is 2 X $12 = $24.

Question 17. Randy’s garden has 3 rows of carrots with 3 plants in each row. Next year he plans to plant 4 times the number of rows of 3 plants. How many plants will he have next year? _________ plants

Explanation: From the given information, Randy’s garden has 3 rows of carrots with 3 plants in each row. So, 3 x 3 = 9. To plant 4 times the number of rows of 3 plants, 9 x 4 = 36. 36 plants will have to plant by Randy’s garden next year.

Question 1. There are 2 benches in each car of a train ride. Two people ride on each bench. If a train has 5 cars, how many people in all can be on a train? Options: a. 4 b. 9 c. 10 d. 20

Answer: d. 20

Explanation: Given that there are 2 benches in each car of a train ride. If a train has 5 cars in total, the number of benches = 5 x 2 = 10. From the given information, two people ride on each bench. So, 10 x 2 = 20 people will travel on a train if the train has 5 cars.

Question 2. Crystal has 2 CDs in each box. She has 3 boxes on each of her 6 shelves. How many CDs does Crystal have in all? Options: a. 6 b. 12 c. 18 d. 36

Answer: d. 36

Explanation: The crystal has 3 boxes on each of her 6 shelves. So, she has 3 x 6 = 18 boxes with her. Each box has 2 CDs in it. So, 2 x 18 = 36 CDs available at crystal.

Question 3. Find the sum. 4 7 2 + 1 8 6 ——– Options: a. 658 b. 648 c. 558 d. 286

Add the ones. Add 2 + 6 =8. Then, Add the tens. Regroup hundreds and tens. Add 7 + 8 = 15. Remember to carry over. Add the hundreds. Add 4 + 1 + 1 = 6. Place the one’s, ten’s and hundreds to get the sum. The sum is 658.

Answer: d. 25 minutes

Question 5. Madison has 142 stickers in her collection. What is 142 rounded to the nearest ten? Options: a. 40 b. 140 c. 150 d. 200

Answer: b. 140

Explanation: The 142 lies between 140 and 150. But the 142 is closer to 140 than it is to 150. So, 142 is rounded to the 140.

Question 6. There are 5 pages of photos. Each page has 6 photos. How many photos are there in all? Options: a. 12 b. 20 c. 24 d. 30

Answer: d. 30

Explanation: Given that there are 5 pages of photos. And, each page has 6 photos. Total photos = 5 x 6 = 30.

Is the product even or odd? Write even or odd.

Question 1. 2 × 7 = even Think: Products with 2 as a factor are even.

Answer: even

Explanation: Products with 2 as a factor are even.

Question 2. 4 × 6 = ________

Explanation: The numbers end with 0, 2, 4, 6, 8 are even numbers. So, 24 is even number. The 4 × 6 an even number.

Go Math Grade 3 Algebra Lesson 4.7 Question 3. 8 × 3 = ________

Explanation: 8 is an even number. 3 is an odd number. The product of an odd number and an even number is even. The answer is even.

Question 4. 2 × 3 = _________

Question 5. 9 × 9 = ________

Answer: odd

Explanation: 9 is an odd number. The product of two odd numbers is an odd number. The answer is odd.

Question 6. 5 × 7 = _________

Explanation: The numbers end with 1,3, 5, 7, 9 are odd numbers. So, 35 is an odd number. The 5 × 7 an odd number.

Question 7. 6 × 3 = ________

Explanation: 6 is an even number. 3 is an odd number. The product of an odd number and an even number is even. The answer is even.

Use the multiplication table. Describe a pattern you see.

Question 8. in the column for 5 _________

Answer: The one’s digits repeat 0 and 5. Each number is 5 more than the number above it.

Explanation: Each number is added with 5. One’s digit is repeated with 0 and 5.

Question 9. in the row for 10 ________

Answer: Add 10. All the products are even. The one’s digit is always 0.

Explanation: All the products are even. Also, the one’s digit is always 0. Add 10 for every product to get the next number to it.

Question 10. in the rows for 3 and 6 Type below: _________

Answer: The products of 6 are the products of 3 doubled.

Explanation: Add 3 for row 3. The products of 6 are the products of 3 doubled.

Question 11. Carl shades a row in the multiplication table. The products in the row are all even. The ones digits in the products repeat 0, 4, 8, 2, 6. What row does Carl shade? Carl shaded row for _________

Answer: The row for 4.

Explanation: From the given data, the answer is row 4.

Question 12. Jenna says that no row or column contains products with only odd numbers. Do you agree? Explain. _________

Answer: Yes, Either the products are all even, or there is an even and odd number pattern.

Explanation: Jenna said correctly. Either the products are all even, or there is an even and odd number pattern.

Question 1. Which has an even product? Options: a. 1 × 9 b. 3 × 3 c. 5 × 7 d. 4 × 9

Answer: d. 4 × 9

Explanation: The product of an odd number and an even number is even. The answer is 4 × 9.

Question 2. Which describes this pattern? 10, 15, 20, 25, 30 Options: a. Even and then odd b. Add 10. c. Subtract 5. d. Multiply by 5.

Answer: a. Even and then odd

Explanation: The given pattern is the combination of even and add.

Question 3. Lexi has 2 cans of tennis balls. There are 3 tennis balls in each can. She buys 2 more cans. How many tennis balls does she now have in all? Options: a. 12 b. 9 c. 7 d. 6

Answer: a. 12

Explanation: Lexi has 2 cans of tennis balls. There are 3 tennis balls in each can. So, she has 2 x 3 = 6 balls. She buys 2 more cans. So, again 2 cans with 3 tennis balls = 2 x 3 =6. Total = 6 + 6 = 12. 12 tennis balls she is going to have with her.

Explanation: From the given picture, Green eyes have 4 circles. Each circle =4. 4 x 4 = 16. 16 students have green eyes.

Question 5. Sasha bought 3 boxes of pencils. If each box has 6 pencils, how many pencils did Sasha buy in all? Options: a. 9 b. 12 c. 18 d. 24

Explanation: Sasha bought 3 boxes of pencils. If each box has 6 pencils, 3 x 6 = 12 pencils Sasha can buy in all.

Question 6. Find the sum. 2 1 9 + 7 6 3 ———– Options: a. 992 b. 982 c. 976 d. 972

Answer: b. 982

Explanation: Break apart the addends from the given values. Start with the hundreds. Then, add each place value. Let’s write 219 as 200+10+9 and 763 as 700+60+3. Sum up the above two values. Then you get 900+70+12. Add the ones and then add the 10’s and 100’s. The final answer is 982.

Question 1. 8 × 10 = 80

Explanation: 8 × 10 = (2 x 4) x 10 Use the Associative Property. 8 × 10 = 2 x (4 x 10) Multiply. 4 × 10 8 × 10 = 2 x 40 Double the product. 8 × 10 = 40 + 40 8 × 10 = 80

Question 2. 8 × 8 = ________

Explanation: Factor 8 is an even number. 4+ 4 8 x 4 = 32. 32 doubled is 64. 8 x 8 = 64.

Question 3. 8 × 5 = ________

Explanation: 8 × 5 = (2 x 4) x 5 Use the Associative Property. 8 × 5 = 2 x (4 x 5) Multiply. 4 × 5 8 × 5 = 2 x 20 Double the product. 8 × 5 = 20 + 20 8 × 5 = 40

Question 4. 3 × 8 = ________

Explanation: Factor 8 is an even number. 4+ 4 3 x 4 = 12. 12 doubled is 24. 3 x 8 = 24.

Question 5. _______ = 4 × 8

Explanation: Factor 8 is an even number. 4+ 4 4 x 4 = 16. 16 doubled is 32. 4 x 8 = 32.

Question 6. 8 × 7 = ________

Explanation: 8 × 7 = (2 x 4) x 7 Use the Associative Property. 8 × 7 = 2 x (4 x 7) Multiply. 4 × 7 8 × 7 = 2 x 28 Double the product. 8 × 7 = 28 + 28 8 × 7 = 56.

Question 7. 6 × 8 = ________

Explanation: Factor 8 is an even number. 4+ 4 6 x 4 = 24. 24 doubled is 48. 6 x 8 = 48.

Question 8. _______ = 9 × 8

Explanation: Factor 8 is an even number. 4+ 4 9 x 4 = 36. 36 doubled is 72. 9 x 8 = 72.

Question 9. 8 × 2 —— ________

Explanation: Using the Commutative Law of Multiplication, 2 x 8 = 8 x 2. Factor 8 is an even number. 4+ 4 2 x 4 = 8. 8 doubled is 16. 2 x 8 = 16. So, 8 x 2 =16.

Question 10. 6 × 8 ——- ________

Question 11. 8 × 7 —— _________

Explanation: Using the Commutative Law of Multiplication, 8 x 7 = 7 x 8. Factor 8 is an even number. 4+ 4 7 x 4 = 28. 28 doubled is 56. 7 x 8 = 56.

Question 12. 0 × 8 ——- ____________

Multiplication of any number with 0 is 0. So, the answer for 0 x 8 is 0.

Question 13. 8 × 5 —— ___________

Explanation: 8 × 5 = (2 x 4) x 5 Use the Associative Property. 8 × 5 = 2 x (4 x 5) Multiply. 4 × 5 8 × 5 = 2 x 20 Double the product. 8 × 5 = 20 + 20 8 × 5 = 40.

Question 14. 8 × 8 ——– ___________

Question 15. 9 × 8 ——- ___________

Question 16. 8 × 3 —— ___________

Explanation: 8 × 3 = (2 x 4) x 3 Use the Associative Property. 8 × 3 = 2 x (4 x 3) Multiply. 4 × 3 8 × 3 = 2 x 12 Double the product. 8 × 3 = 12 + 12 8 × 3 = 24.

Question 17. 8 × 1 —— ___________

Multiplication of any number with 1 is the same number. So, 1 x 8 = 8.

Question 18. 4 × 8 —— ___________

Question 19. There are 6 teams in the basketball league. Each team has 8 players. How many players are there in all? ____________ players

Explanation: Multiply 6 x 8 to get the total number of players. 6 x 8 = 48 players are in the basketball league.

Question 20. Lynn has 4 stacks of quarters. There are 8 quarters in each stack. How many quarters does Lynn have in all? ___________ quarters

Explanation: Multiply 4 x 8 to find quarters in stacks. Lynn has 4 x 8 = 32 quarters in total.

Question 21. Tomas is packing 7 baskets for a fair. He is placing 8 apples in each basket. How many apples are there in all? ___________ apples

Explanation: Multiply 7 x 8 to get the total number of apples. Tomas have 7 x 8 = 56 apples.

Question 22. There are 10 pencils in each box. If Jenna buys 8 boxes, how many pencils will she buy? _____________ pencils

Explanation: To get total pencils, if Jenna buys 8 boxes, multiply 10 x 8. So, Jenna buys 10 x 8 = 80 pencils.

Question 1. Find the product. 5 × 8 = ■ Options: a. 30 b. 32 c. 42 d. 40

Answer: d. 40

Explanation: Using Commutative Property of Multiplication, write 5 x 8 = 8 x 5 8 × 5 = (2 x 4) x 5 Use the Associative Property. 8 × 5 = 2 x (4 x 5) Multiply. 4 × 5 8 × 5 = 2 x 20 Double the product. 8 × 5 = 20 + 20 8 × 5 = 40

Question 2. There are 7 tarantulas in the spider exhibit at the zoo. Each tarantula has 8 legs. How many legs do the 7 tarantulas have in all? Options: a. 15 b. 49 c. 56 d. 63

Answer: c. 56

Explanation: Multiply 7 x 8 to find the 7 tarantulas legs. 7 tarantulas have 7 x 8 = 56 legs.

Question 3. Find the difference. 6 5 2 – 9 9 ——— Options: a. 99 b. 552 c. 553 d. 653

Answer: c. 553

Explanation: Subtract the ones. 2<9. so regroup 5 tens 2 ones = 4 tens 3 ones. Now, do 12 – 9 = 3. Then, Subtract the tens. 4 < 9. So, regroup 6 hundred 5 tens = 5 hundred 5 tens. 14 – 9 = 5. Subtract the hundreds and add them to check the answer. 5 – 0 = 5. The final answer is 553.

Division and the Distributive Property Lesson 4.8 Answer Key Question 4. The school library received an order of 232 new books. What is 232 rounded to the nearest ten? Options: a. 200 b. 230 c. 240 d. 300

Answer: b. 230

Explanation: The 232 lies between 230 and 240. But the 232 is closer to 230 than it is to 240. So, 232 is rounded to the 230.

Question 5. Sam’s picture graph shows that 8 students chose pizza as their favorite lunch. This is the key for the graph. Each ☺ smile = 2 students. How many ☺ smile should be next to pizza on Sam’s graph? Options: a. 2 b. 4 c. 6 d. 8

Answer: b. 4

Explanation: Given 1 smile = 2 students. 2 smiles = 4 students 3 smiles = 6 students 4 smiles = 8 students 4 smiles required for Sam for her next pizza on the graph.

Question 6. Tashia buys 5 packages of oranges. Each package has 4 oranges. How many oranges in all does Tashia buy? Options: a. 1 b. 9 c. 20 d. 25

Answer: d. 25

Explanation: To know the total number of oranges, multiply 5 x 5. Tashia buys 5 x 5 = 25 oranges.

Question 1. 10 × 9 = 90

Explanation: The tens digit is 1 less than the factor that is multiplied by 9. So, ten’s digit number is 10 – 1 = 9. The sum of the digits in the product is always 9. So, to multiply 10 × 9, think the tens digit is 9 and the one’s digit is 0. The product is 90.

Question 2. 2 × 9 = ________

Explanation: 9 = 3 + 6 2 × 9 = 2 x (3 + 6) Multiply each addend by 2. 2 × 9 = (2 × 3) + (2 × 6) Add the products. 2 × 9 = 6 + 12 2 × 9 = 18.

Question 3. 9 × 4 = ________

Explanation: 9 = 3 + 6 9 × 4 = (3 + 6) x 4 Multiply each addend by 4. 9 × 4 = (3 x 4) + (6 x 4) Add the products. 9 × 4 = 12 + 24 9 × 4 = 36.

Question 4. 0 × 9 = ________

Multiplication of any number with 0 is 0. So, the answer for 0 x 9 is 0.

Question 5. 1 × 9 = ________

Multiplication of any number with 1 is the same number. So, 1 x 9 = 9.

Question 6. 8 × 9 = ________

Explanation: 9 = 3 + 6 8 × 9 = 8 x (3 + 6) Multiply each addend by 8. 8 × 9 = (8 × 3) + (8 × 6) Add the products. 8 × 9 = 24 + 48 8 × 9 = 72.

Question 7. 9 × 5 = ________

Explanation: 9 = 3 + 6 9 × 5 = (3 + 6) x 5 Multiply each addend by 5. 9 × 5 = (3 x 5) + (6 x 5) Add the products. 9 × 5 = 15 + 30 9 × 5 = 45.

Question 8. 6 × 9 = ________

Explanation: 9 = 3 + 6 6 × 9 = 6 x (3 + 6) Multiply each addend by 6. 6 × 9 = (6 × 3) + (6 × 6) Add the products. 6 × 9 = 18 + 36 6 × 9 = 54.

Question 9. 9 × 4 ——– ________

Question 10. 5 × 9 ——– ________

Explanation: 9 = 3 + 6 5 × 9 = 5 x (3 + 6) Multiply each addend by 5. 5 × 9 = (5 × 3) + (5 × 6) Add the products. 5 × 9 = 15 + 30 5 × 9 = 45.

Question 11. 9 × 7 ——– ________

Explanation: 9 = 3 + 6 9 × 7 = (3 + 6) x 7 Multiply each addend by 7. 9 × 7 = (3 x 7) + (6 x 7) Add the products. 9 × 7 = 21 + 42 9 × 7 = 63.

Question 12. 2 × 9 ——– ________

Question 13. 9 × 9 ——– ________

Explanation: The tens digit is 1 less than the factor that is multiplied by 9. So, ten’s digit number is 9 – 1 = 8. The sum of the digits in the product is always 9. So, add 1 to 8 to get one’s digit 1 + 8 = 9. The product is 81.

Question 14. 10 × 9 ——– ________

Question 15. 3 × 9 ——– ________

Explanation: 9 = 3 + 6 3 × 9 = 3 x (3 + 6) Multiply each addend by 3. 3 × 9 = (3 × 3) + (3 × 6) Add the products. 3 × 9 = 9 + 18 3 × 9 = 27.

Question 16. 9 × 8 ——– ________

Question 17. 6 × 9 ——– ________

Question 18. 9 × 1 ——– ________

Explanation: Multiplication of any number with 1 is the same number. So, 1 x 9 = 9.

Question 19. There are 9 positions on the softball team. Three people are trying out for each position. How many people in all are trying out? ___________ people

Explanation: To find the total number of people trying for a position on the softball team, multiply 9 x 3. 9 x 3 = 27 people are trying for a softball team position.

Question 20. Carlos bought a book for $9. Now he would like to buy 4 other books for the same price. How much will he have to pay in all for the other 4 books? $ _____________

Answer: $36

Explanation: Carlos bought a book for $9. Now he would like to buy 4 other books for the same price. So, to get them all 4 books, he needs to pay 4 x $9 = $36.

Question 1. Find the product. 7 × 9 = ■ Options: a. 63 b. 56 c. 45 d. 36

Answer: a. 63

Question 2. Clare buys 5 tickets for the high school musical. Each ticket costs $9. How much do the tickets cost in all? Options: a. $36 b. $40 c. $45 d. $52

Answer: c. $45

Explanation: Multiply 5 with $9 to get the total number of tickets. Clare buys 5 tickets for 5 x $9 = $45.

Answer: d. 6

Explanation: From the given figure, there are 6 bars available in the Number of Girls for Brown. So, the answer is 6.

Question 4. Miles picked up 9 shirts from the dry cleaners. It costs $4 to clean each shirt. How much did Miles spend to have all the shirts cleaned? Options: a. $13 b. $22 c. $36 d. $45

Answer: c. $36

Explanation: Miles spend 9 x $4 = $36 to have all the shirts cleaned.

Question 5. In a picture graph, each picture of a baseball is equal to 5 games won by a team. The row for the Falcons has 7 baseballs. How many games have the Falcons won? Options: a. 40 b. 35 c. 12 d. 7

Explanation: From given data, 1 baseball = 5 games. The row for the Falcons has 7 baseballs. So, Falcons won 7 x 5 = 35 games.

Question 6. An array has 8 rows with 4 circles in each row. How many circles are in the array? Options: a. 12 b. 24 c. 32 d. 36

Explanation: 8 x 4 = 32 circles are in the array.

Answer: 5 ways

Explanation: Henry can put the cards in 5 ways. They are 1. (1 x 6 cards pages) x (10 x 3 cards pages) = 6 cards + 30 cards = 36 cards. 2. (2 x 6 cards pages) x (8 x 3 cards pages) = 12 cards + 24 cards = 36 cards. 3. (3 x 6 cards pages) x (6 x 3 cards pages) = 18 cards + 18 cards = 36 cards. 4. (4 x 6 cards pages) x (4 x 3 cards pages) = 24 cards + 12 cards = 36 cards. 5. (5 x 6 cards pages) x (2 x 3 cards pages) = 30 cards + 6 cards = 36 cards.

Question 2. Ms. Hernandez has 17 tomato plants that she wants to plant in rows. She will put 2 plants in some rows and 1 plant in the others. How many different ways can she plant the tomato plants? Make a table to solve.

Answer: 8 ways

Explanation: Ms. Hernandez wants to grow 2 tomoto plants in one row and 1 in other row. The total number of plants should be 17. So, 1. (8 rows x 2 plants) x (1 row x 1plant) = 16 plants + 1 plant = 17 plants. 2. (7 rows x 2 plants) x (3 rows x 1plant) = 14 plants + 3 plant = 17 plantst. 3. (6 rows x 2 plants) x (5 rows x 1plant) = 12 plants + 5 plant = 17 plants. 4. (5 rows x 2 plants) x (7 rows x 1plant) = 10 plants + 7 plant = 17 plants. 5. (4 rows x 2 plants) x (9 rows x 1plant) = 8 plants + 9 plant = 17 plants. 6. (3 rows x 2 plants) x (11 rows x 1plant) = 6 plants + 11 plant = 17 plants. 7. (2 rows x 2 plants) x (13 rows x 1plant) = 4 plants + 13 plant = 17 plants. 8. (1 rows x 2 plants) x (15 rows x 1plant) = 2 plants + 15 plant = 17 plants.

Question 3. Bianca has a total of 25¢. She has some nickels and pennies. How many different combinations of nickels and pennies could Bianca have? Make a table to solve.

Answer: 4 ways

Explanation: 1 Nickel = 5 pennies. Bianca can have combinations of nickels and pennies to get 25¢ are 1. 1 Nickel + 20 Pennies = 5 Pennies + 20 Pennies = 25 Pennies = 25¢ 2. 2 Nickels + 15 Pennies = 10 Pennies + 15 Pennies = 25 Pennies = 25¢ 3. 3 Nickels + 10 Pennies = 15 Pennies + 10 Pennies = 25 Pennies = 25¢ 4. 4 Nickels + 5 Pennies = 20 Pennies + 5 Pennies = 25 Pennies = 25¢

Question 1. The table shows different ways that Cameron can display his 12 model cars on shelves. How many shelves will display 2 cars if 8 of the shelves each display 1 car? Options: a. 1 b. 2 c. 3 d. 4

Answer: b. 2

Explanation: 1. (Shelves with 1 car x 2) + (Shelves with 2 cars x 5) = 2 Cars + 10 Cars = 12 Cars 2. (Shelves with 1 car x 4) + (Shelves with 2 cars x 4) = 4 Cars + 8 Cars = 12 Cars 3. (Shelves with 1 car x 6) + (Shelves with 2 cars x 3) = 6 Cars + 6 Cars = 12 Cars 4. (Shelves with 1 car x 8) + (Shelves with 2 cars x 2) = 8 Cars + 4 Cars = 12 Cars 5. (Shelves with 1 car x 10) + (Shelves with 2 cars x 1) = 10 Cars + 2 Cars = 12 Cars Therefore, 2 shelves will display 2 cars if 8 of the shelves each display 1 car.

Question 2. Find the sum. 3 1 7 + 1 5 1 ——– Options: a. 166 b. 268 c. 468 d. 568

Answer: c. 468

Explanation: Add the ones. Add 7 + 1 =8. Then, Add the tens. Add 1 + 5 = 6. Add the hundreds. Add 3 + 1 = 4. Place the one’s, ten’s and hundreds to get the sum. The sum is 468.

Question 3. The school cafeteria has an order for 238 hot lunches. What is 238 rounded to the nearest ten? Options: a. 300 b. 240 c. 230 d. 200

Answer: b. 240

Explanation: The 238 lies between 230 and 240. But the 238 is closer to 240 than it is to 230. So, 238 is rounded to the 240.

Explanation: Each circle = 3 votes. If 12 students voted for green, total votes = 12. Write 12 = 3 + 3 + 3 +3. So, 4 circles represent 12 votes.

Question 5. There are 5 bikes in each bike rack at the school. There are 6 bike racks. How many bikes in all are in the bike racks? Options: a. 11 b. 24 c. 25 d. 30

Explanation: To find the total bikes in the bike rack at the school, multiply 5 bikes x 6 bike racks. 5 x 6 = 30 bikes are available in bike racks.

Question 1. Mrs. Ruiz sorted spools of thread into 4 boxes. Each box holds 5 spools. How many spools of thread does Mrs. Ruiz have? Draw circles to model the problem. Then solve. ________ spools

Answer: 20 spools

Explanation: 4 boxes of spools x 5 spools = 20 spools. Mrs. Ruiz has 20 spools of thread.

Question 2. For numbers 2a–2d, select True or False for each multiplication sentence. a. 2 × 8 = 16 i. True ii. False

Answer: i. True

Explanation: Double 8. 8 + 8 = 16. So, 2 x 8 = 16.

Question 2. b. 5 × 8 = 40 i. True ii. False

Question 2. c. 6 × 8 = 56 i. True ii. False

Answer: ii. False

Use doubles to find the answer of 6 x 8. Firstly, multiply 3 x 8 = 24. Then, double the value of 3 x 8. 24 + 24 = 48. The answer for 6 x 8 is 48. So, 6 × 8 = 56 is false.

Question 2. d. 8 × 8 = 64 i. True ii. False

Question 3. Bella is planning to write in a journal. Some pages will have one journal entry on them, and other pages will have two journal entries on them. If Bella wants to make 10 entries, how many different ways can she write them in her journal? ________ different ways

Explanation: 1. (1 journal entry x 2) + (2 journal entries x 4) = 2 journals + 8 journals = 10 journals. 2. (1 journal entry x 4) + (2 journal entries x 3) = 4 journals + 6 journals = 10 journals. 3. (1 journal entry x 6) + (2 journal entries x 2) = 6 journals + 4 journals = 10 journals. 4. (1 journal entry x 8) + (2 journal entries x 1) = 8 journals + 2 journals = 10 journals.

Bella can use 4 ways to write journals.

Question 4. There are 7 days in 1 week. How many days are there in 4 weeks? _______ days

Answer: 28 days

Explanation: 1 week = 1 x 7 = 7 days. 4 weeks = 4 x 7 = 28 days.

3 × (2 × 3) = 3 x 6 = 18.

Question 6. Dale keeps all of his pairs of shoes in his closet. Select the number of shoes that Dale could have in his closet. Mark all that apply. Options: a. 3 b. 4 c. 6 d. 7 e. 8

Answer: b. 4 c. 6 e. 8

Explanation: Pair of shoes have 2 in number. So, the possible ways are always even. Dale could have 4, 6, 8 in his closet.

Answer: 0, 2, 4, 6, 8

Question 7. Part B Explain how you know that you have selected all of the correct possibilities. Type below: __________

Answer: Given that the product numbers are even. The product of an even number with another number is even. So, we should take the mystery factor as an even number.

Explanation: Kate drew 7 octagons. An octagon has 8 sides. Kate draw 8 x 7 = 56 sides.

Question 9. José buys 6 bags of flour. Each bag weighs 5 pounds. How many pounds of flour did José buy? _________ pounds

Answer: 30 pounds

Explanation: 6 x 5 = 30. José spends 30 pounds to buy flours.

Explanation: Break the array of 4 columns and 6 rows to get the answer.

Answer: <

Explanation: 9 x 6 = 54 3 x 27 = 81 54 < 81. So, 9 x 6 < 3 x (3 x 9)

Question 12. Roberto wants to make $2.00 using dollars, half dollar, and quarters. How many different ways can he make $2.00? __________ different ways

Explanation: 0.25 – 8 |6 |4 |4 |2 |2 |0 |0 |0 0.50 – 0 |1 |2 |0 |3 |1 |2 |4 |0 1 -0 |0 |0 |1 |0 |1 |1 |0 |2

Question 13. A carpenter builds stools that have 3 legs each. How many legs does the carpenter use to build 5 stools? Use the array to explain how you know your answer is correct. _________ legs

Answer: 15 legs

Explanation: Each stool has 3 legs. To build 5 stools, 5 x 3 = 15 legs. 15 legs need to build 5 stools.

Question 14. Etta buys some ribbon and cuts it into 7 pieces that are the same length. Each piece is 9 inches long. How long was the ribbon that Etta bought? _________ inches

Answer: 63 inches

Explanation: The length of the ribbon is 7 x 9 inches = 63 inches.

Question 15. Antoine and 3 friends divide some pennies evenly among themselves. Each friend separates his pennies into 3 equal stacks with 5 pennies in each stack. Write a multiplication sentence that shows the total number of pennies. Type below: _________

Answer: 4 x (5 x 3)

Explanation: 5 pennies into 3 equal stacks = 5 x 3 = 15. 15 stacks shared between 4 friends = 4 x 15 = 4 x (5 x 3).

Question 16. Luke is making 4 first-aid kits. He wants to put 3 large and 4 small bandages in each kit. How many bandages does he need for the kits? Show your work. _________ bandages

Answer: 28 bandages

Explanation: Luke wants to put 3 large and 4 small bandages in each kit. So, total = 3 + 4 = 7 bandages. He is making 4 first-aid kits. So, 4 x 7 bandages = 28 bandages.

Question 17. For numbers 17a–17d, select True or False for each equation. a. 3 × 7 = 21 i. True ii. False

Skip count by 3’s until you say 7 numbers. 3, 6, 9, 12, 15, 18, 21. So, the answer for 3 x 7 is 21. The answer is true.

Question 17. b. 5 × 7 = 28 i. True ii. False

Skip count by 5’s until you say 7 numbers. 5, 10, 15, 20, 25, 30, 35. Now, the count of the number is 7. So, the answer for 5 x 7 is 35. The answer is False.

Question 17. c. 8 × 7 = 49 i. True ii. False

Use Distributive Property to find 8 x 7 = (4 + 4) x 7 = (4 x 7) + (4 x 7) = 28 + 28 = 56 is the correct answer. The answer is False.

Question 17. d. 9 × 7 = 63 i. True ii. False

Explanation: 9 = 3 + 6 9 × 7 = (3 + 6) x 7 Multiply each addend by 7. 9 × 7 = (3 x 7) + (6 x 7) Add the products. 9 × 7 = 21 + 42 9 × 7 = 63. The answer is true.

Explanation: The value of 10 x4 = 40. So, the answer is 4.

Question 19. For numbers 19a–19d, select Yes or No to indicate whether the number sentence has the same value as 8 × 6. a. 8 + (4 × 2) = ■ i. yes ii. no

Answer: ii. no

Explanation: 8 x 6 = 48. 8 + (4 x 2) = 8 + 8 =16. The answer is no.

Question 19. b. (8 × 4) + (8 × 2) = ■ i. yes ii. no

Answer: i. yes

Explanation: 8 x 6 = 48. (8 x 4) + (8 x 2) = 32 + 16 = 48. The answer is yes.

Question 19. c. (6 × 4) + (6 × 2) = ■ i. yes ii. no

Explanation: 8 x 6 = 48. (6 × 4) + (6 × 2) = 24 + 12 = 36. The answer is no.

Question 19. d. 6 × (4 + 4) = ■ i. yes ii. no

Explanation: 8 x 6 = 48. 6 × (4 + 4) = 6 x 8 = 48. The answer is yes.

Question 20. Chloe bought 4 movie tickets. Each ticket cost $6. What was the total cost of the movie tickets? $ _________

Explanation: The total cost of the movie tickets = 4 x $6 = $24.

Answer: 6 x (5 x 2) = 60

Explanation: We can write as 6 x (5 x 2) = 60.

Answer: 12, 15, 18, 21, 24, 27, 30. Add 3 to the product to get the next product.

Explanation: Add 3 to the product to get the next product. 9+3 = 12. 12 + 3 = 15. 15 + 3 = 18. 18 + 3 = 21. 21 + 3 = 24. 24 + 3 = 27. 27 + 3 = 30.

Question 22. Part B If you multiplied 3 × 37, would the product be an even number or an odd number? Use the table to explain your reasoning. __________

Answer: When an even number is multiplied by 3 (an odd number), the product is even. When an odd number is multiplied by 3, the product is odd, so the product of 3 × 37 would be odd.

Explanation: Skip 2 numbers to get the product of 4 multiples. If you skip 2 numbers until you count 8, you can get 32. The answer is 32.

Find Go Math Grade 3 Answer Key Chapter 4 Multiplication Facts and Strategies along with an explanation for each question. Get third-grade multiplication facts for better practice. All the questions and answers explained with images, graphs for easy understanding. Do all the activities and check your answers.

Your students can strengthen their knowledge by practicing all the multiplications available on this page. Learn multiplication concepts easily in the best way using our Go Math Answer Key for Grade 3 Chapter 4 Multiplication Facts and Strategies. Examples can also include along with the concepts to make your experience better.

Quickly get Go Math Grade 3 Answer Key and know the process of solving every multiplication to grab the knowledge. We support you with our Go Math Grade 3 Answer Key Chapter 4 Multiplication Facts and Strategies Extra Practice PDF every time.

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ISBN-13 : 9780547352022 collections_bookmark Use the table below to find videos, mobile apps, worksheets and lessons that supplement Go Math! 3 Student Edition. Go Math! 3 Student Edition grade 3 workbook & answers help online. Grade: 3, Title: Go Math! 3 Student Edition, Publisher: Houghton Mifflin Harcourt, ISBN: 547352026

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Patterns on a Hundred Chart Use the hundred chart. Tell whether the number is odd or even. 1. 34 2. 15 3. 82 4. 23 5. 19 6. 35 7. 82 8. 5 9. 89 10. 28 Use the hundred chart. Mixed Review Find each sum or difference.

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ALGEBRA Name Lesson 1.1 Number Patterns COMMON CORE STANDARD CC.3.OA.9 Solve problems involving the four operations, and identify and explain patterns in arithmetic.

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Answer: 18 ÷ 2 = 9 or 18 ÷ 9 = 2. Explanation: Number of counters = 18. Number of groups = 2. Number of counters in each group = 9. So, the division equation is the number of counters by number of groups = 18 ÷ 2 =9. Next divide number of counters by number in each group = 18 ÷ 9 = 2. Go Math Grade 3 Chapter 7 Answer Key Pdf Question 3.

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