## Engage NY Eureka Math 4th Grade Module 4 End of Module Assessment Answer Key

### Eureka Math Grade 4 Module 3 End of Module Assessment Answer Key

Question 1.

What is the greatest multiple of 7 that is less than 60?

Answer:

56 is the greatest multiple of 7 that is less than 60,

Explanation:

The multiples of 7 which are less than 60 are 7, 14, 21, 28, 35, 42, 49 and 56

So the gratest multiple of 7 that is less than 60 is 56.

Question 2.

Identify each number as prime or composite. Then, list all of its factors.

a. | 3 _______Prime___________________ | _______1, 3___________________ |

b. | 6 ______Composite____________________ | _______1, 2, 3, 6___________________ |

c. | 15 _____Composite_____________________ | _______1, 3, 5, 15___________________ |

d. | 24 ______Composite____________________ | _______1, 2, 3, 4, 6, 8, 12, 24_____ |

e. | 29 ______Prime____________________ | _______1, 29_________________ |

Answer:

a. 3 is prime, factors are 1,3,

b. 6 is composite, factors are 1, 2, 3, 6,

c. 15 is composite, factors are 1, 3, 5, 15,

d. 24 is composite, factors are 1, 2, 3, 4, 6, 8, 12, 24,

e. 29 is prime, factors are 1, 29,

Explanation:

a. 3 is prime as 3 has Â positive integers having only two factors, 1 and the integer itself so 3 is prime and factors are 1,3.

b. 6 is composite as 6 can be divided by more than two numbers, factors are 1, 2, 3, 6.

c. 15 is composite as 15 can be divided by more than two numbers, factors are 1, 3, 5, 15,

d. 24 is composite as 24 can be divided by more than two numbers, factors are 1, 2, 3, 4, 6, 8, 12, 24.

e. 29 is prime as 29 has Â positive integers having only two factors, 1 and the integer itself so 29 is prime and factors are 1, 29.

Question 3.

Use any place value strategy to divide.

a. 3,600 Ã· 9

Answer:

3,600 Ã· 9 = 400,

Explanation:

Used place value strategy to divide 3,600 Ã· 9 =

Â Â 400Â Â Â

9|3,600

Â – 3600

0

Therefore, 3,600 Ã· 9 = 400.

b. 96 pencils come in a box. If 4 teachers share 3 boxes equally, how many pencils does each teacher receive?

Answer:

Each teacher will receive 72 pencils,

Explanation:

Given 96 pencils come in a box. If 4 teachers share 3 boxes equally,

Number of pencils does each teacher receives are

3 X 96 =

1

96

X 3

288, pencils are there in 3 boxes,

Now 4 teachers share 288 pencils equally means

288 Ã· 4 =

Â Â 72

4|288

Â -28Â Â

08

Â Â -08

Â Â Â 0

therefore each teacher will receive 72 pencils.

Question 4.

427 Ã· 3

a. Solve by drawing place value disks.

Answer:

Explanation:

Solved 427 Ã· 3 = 142 by drawing place value disks as shown above.

b. Solve numerically.

Answer:

Explanation:

Solved 427 Ã· 3 = 142 numerically as shown above.

Question 5.

Use any place value strategy to multiply or divide.

a. 5,316 Ã· 3

Answer:

Explanation:

Used place value strategy to divide 5,316 Ã· 3 = 1,772 as shown above.

b. 3,809 Ã· 5

Answer:

Explanation:

Used place value strategy to divide 3,809 Ã· 5 = 761, remainder 4 as shown above.

c. 29 Ã— 56

Answer:

Explanation:

Used place value strategy to divide 29 X 56 = 1,624 as shown above.

d. 17 Ã— 43

Answer:

Explanation:

Used place value strategy to divide 17 X 43 = 731 as shown above.

Solve using a model or equation. Show your work, and write your answer as a statement.

Question 6.

A new grocery store is opening next week.

a. The storeâ€™s rectangular floor is 42 meters long and 39 meters wide. How many square meters of flooring do they need?

Use estimation to assess the reasonableness of your answer.

Answer:

Explanation:

Given a new grocery store is opening next week, the storeâ€™s rectangular floor is 42 meters long and 39 meters wide,

Number of square meters of flooring do they need are

39 X 42 = 1,638 square meters, Used estimation to assess the reasonableness of my answer as shown above,

39 X 42 â‰ˆ 40 X 40 = 1,600, They need 1,638 square meters of flooring.

My answer is reasonable because it is close to my estimate of 1,600 square meters.

b. The store ordered small posters and large posters to promote their opening. 12 times as many small posters were ordered as large posters. If there were 48 large posters, how many more small posters were ordered than large posters?

Answer:

Explanation:

Given the store ordered small posters and large posters to promote their opening. 12 times as many small posters were ordered as large posters. If there were 48 large posters.

Number of more small posters were ordered than large posters are 12 X 48 = 576, 576 – 48 = 528.

Therefore 528 more small posters were ordered than large posters.

c. Uniforms are sold in packages of 8. The storeâ€™s 127 employees will each be given 3 uniforms. How many packages will the store need to order?

Answer:

Explanation:

Given uniforms are sold in packages of 8. The storeâ€™s 127 employees will each be given 3 uniforms. Number of packages will the store need to order are 127 X 3 = 381, 381 Ã· 8 = 47 and remainder 5

So the store needs to order 48 packages, if they order 47 packages only 376 uniforms will come and they will need 5 more uniforms.

d. There are three numbers for the combination to the storeâ€™s safe. The first number is 17. The other two numbers can be multiplied together to give a product of 28. What are all of the possibilities for the other two numbers? Write your answers as multiplication equations, and then write all of the possible combinations to the safe.

Answer:

28 = 1 X 28,

28 = 28 X 1,

28 = 2 X 14,

28 = 14 X 2,

28 = 4 X 7,

28 = 7 x 4,

the possible combinations are 17, 1, 28,

17, 28, 1,

17, 2, 14,

17, 14, 2,

17, 4, 7,

17, 7, 4,

Explanation:

Given there are three numbers for the combination to the storeâ€™s safe.

The first number is 17. The other two numbers can be multiplied together to give a product of 28,

28 = 1 X 28,

28 = 28 X 1,

28 = 2 X 14,

28 = 14 X 2,

28 = 4 X 7,

28 = 7 x 4,

the possible combinations are

17, 1, 28,

17, 28, 1,

17, 2, 14,

17, 14, 2,

17, 4, 7,

17, 7, 4.