## Engage NY Eureka Math 5th Grade Module 2 Lesson 10 Answer Key

### Eureka Math Grade 5 Module 2 Lesson 10 Problem Set Answer Key

Question 1.

Estimate the product. Solve using an area model and the standard algorithm. Remember to express your products in standard form.

a. 22 × 2.4 ≈ ___22____ × ___24____ = __528_tenths____

Answer:

22 x 2.4 = 528 tenths.

Explanation:

In the above-given question,

given that,

22 x 2.4.

22 x 24 tenths.

528 tenths.

b. 3.1 × 33 ___31_tenths___ × ___33____ = ___1023____

Answer:

33 x 3.1 = 1023 tenths.

Explanation:

In the above-given question,

given that,

33 x 31 tenths.

33 x 3.1

1023 tenths.

Question 2.

Estimate. Then, use the standard algorithm to solve. Express your products in standard form.

a. 3.2 × 47 ≈ ___3.2____ × ___47____ = __1504_____

Answer:

3.2 x 47 = 1504 tenths.

Explanation:

In the above-given question,

given that,

3.2 x 47.

32 x 47 tenths.

1504 tenths.

b. 3.2 × 94 ≈ __3.2_____ × __94_____ = ___300.8____

Answer:

3.2 x 94 = 3008 tenths.

Explanation:

In the above-given question,

given that,

3.2 x 94.

3.2 x 94 tenths.

3008 tenths.

c. 6.3 × 44 ≈ ___6.3____ × ___44____ = __277.2_____

Answer:

6.3 x 44 = 2772 tenths.

Explanation:

In the above-given question,

given that,

44 x 6.3.

44 x 63 tenths.

2772 tenths.

d. 14.6 × 17 ≈ ___14.6____ × __17_____ = __248.2_____

Answer:

14.6 x 17 = 2482 tenths.

Explanation:

In the above-given question,

given that,

14.6 x 17.

17 x 146 tenths.

2482 tenths.

e. 8.2 × 34 ≈ ___8.2____ × ___34____ = ___278.8____

Answer:

34 x 8.2 = 2788 tenths.

Explanation:

In the above-given question,

given that,

34 x 8.2.

34 x 82 tenths.

2788 tenths.

f. 160.4 × 17 ≈ ___160.4____ × __17_____ = ___2726.8____

Answer:

160.4 x 17 = 27268 tenths.

Explanation:

In the above-given question,

given that,

17 x 160.4.

17 x 1604 tenths.

27268 tenths.

Question 3.

Michelle multiplied 3.4 × 52. She incorrectly wrote 1,768 as her product. Use words, numbers, and/or pictures to explain Michelle’s mistake.

Answer:

3.4 x 52 = 176.8

Explanation:

In the above-given question,

given that,

Michelle multiplied 3.4 x 52.

3.4 x 52.

176.8.

1768 tenths.

Question 4.

A wire is bent to form a square with a perimeter of 16.4 cm. How much wire would be needed to form 25 such squares? Express your answer in meters.

Answer:

16.4 x 25 = 410 meters.

Explanation:

In the above-given question,

A wire is bent to form a square with a perimeter of 16.4 cm.

16.4 x 25.

410 meters.

### Eureka Math Grade 5 Module 2 Lesson 10 Exit Ticket Answer Key

Question 1.

Estimate the product. Solve using an area model and the standard algorithm. Remember to express your products in standard form.

a. 33.2 × 21 ≈ ___332____ × ___21____ = ___6972 tenths____

Answer:

21 x 33.2 = 6972 tenths.

Explanation:

In the above-given question,

given that,

21 x 33.2.

21 x 332 tenths.

6972 tenths.

b. 1.7 × 55 ≈ __55_____ × ___1.7____ = __93.5_____

Answer:

1.7 x 55 = 935 tenths.

Explanation:

In the above-given question,

given that,

55 x 1.7.

55 x 17 tenths.

935 tenths.

Question 2.

If the product of 485 × 35 is 16,975, what is the product of 485 × 3.5? How do you know?

Answer:

485 x 3.5 = 16,97.5.

Explanation:

In the above-given question,

given that,

485 x 3.5.

485 x 35 tenths.

1697.5.

### Eureka Math Grade 5 Module 2 Lesson 10 Homework Answer Key

Question 1.

Estimate the product. Solve using an area model and the standard algorithm. Remember to express your products in standard form.

a. 53 × 1.2 ≈ ___53____ × ___1.2____ = ___63.6____

Answer:

53 x 1.2 = 528 tenths.

Explanation:

In the above-given question,

given that,

53 x 1.2.

53 x 12 tenths.

636 tenths.

b. 2.1 × 82 ≈ ___82____ × ___2.1____ = ___172.2____

Answer:

21 x 82 = 1722 tenths.

Explanation:

In the above-given question,

given that,

21 x 82.

82 x 21 tenths.

1722 tenths.

Question 2.

Estimate. Then, use the standard algorithm to solve. Express your products in standard form.

a. 4.2 × 34 ≈ ___42____ × ___34____ = ___1428 tenths____

Answer:

34 x 4.2 = 1428 tenths.

Explanation:

In the above-given question,

given that,

34 x 4.2.

34 x 42 tenths.

1428 tenths.

b. 65 × 5.8 ≈ __65_____ × __5.8_____ = __3770 tenths_____

Answer:

65 x 58 = 3770 tenths.

Explanation:

In the above-given question,

given that,

65 x 5.8.

65 x 58 tenths.

3770 tenths.

c. 3.3 × 16 ≈ __3.3_____ × __16_____ = ___52.8____

Answer:

33 x 16 = 528 tenths.

Explanation:

In the above-given question,

given that,

33 x 16.

33 x 16 tenths.

528 tenths.

d. 15.6 × 17 ≈ ___15.6____ × ___17____ = ___265.2____

Answer:

15.6 x 17 = 2652 tenths.

Explanation:

In the above-given question,

given that,

15.6 x 17.

17 x 156 tenths.

265.2 tenths.

e. 73 × 2.4 ≈ __73_____ × ___2.4____ = __175.2_____

Answer:

73 x 2.4 = 1752 tenths.

Explanation:

In the above-given question,

given that,

73 x 2.4.

73 x 24 tenths.

1752 tenths.

f. 193.5 × 57 ≈ ___193.5____ × __57_____ = __11,029.5_____

Answer:

193.5 x 57 = 11029 tenths.

Explanation:

In the above-given question,

given that,

193.5 x 57.

57 x 1935 tenths.

11,0295 tenths.

Question 3.

Mr. Jansen is building an ice rink in his backyard that will measure 8.4 meters by 22 meters. What is the area of the rink?

Answer:

The area of the rink = 184.8

Explanation:

In the above-given question,

given that,

Mr. Jansen is building an ice rink in his backyard that will measure 8.4 meters by 22 meters.

8.4 x 22 = 184.8

Question 4.

Rachel runs 3.2 miles each weekday and 1.5 miles each day of the weekend. How many miles will she have run in 6 weeks?

Answer:

The miles she has run in 6 weeks = 28.2 miles.

Explanation:

In the above-given question,

given that,

Rachel runs 3.2 miles each weekday and 1.5 miles each day of the weekend.

3.2 + 1.5 = 4.7 miles.

4.7 x 6 = 28.2 miles.