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____
Eureka Math Grade 5 Module 2 Lesson 10 Problem Set Answer Key 1

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.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-1

b. 3.1 × 33 ___31_tenths___ × ___33____ = ___1023____
Eureka Math Grade 5 Module 2 Lesson 10 Problem Set Answer Key 2

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.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-2

Question 2.
Estimate. Then, use the standard algorithm to solve. Express your products in standard form.
a. 3.2 × 47 ≈ ___3.2____ × ___47____ = __1504_____
Eureka Math Grade 5 Module 2 Lesson 10 Problem Set Answer Key 3

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.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-3

b. 3.2 × 94 ≈ __3.2_____ × __94_____ = ___300.8____
Eureka Math Grade 5 Module 2 Lesson 10 Problem Set Answer Key 4

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.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-4

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.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-5

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.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-6

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.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-7

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.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-8

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.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-9

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.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-10

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.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-11

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-Answer Key-12

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____
Eureka Math 5th Grade Module 2 Lesson 10 Homework Answer Key 5

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.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-13

b. 2.1 × 82 ≈ ___82____ × ___2.1____ = ___172.2____
Eureka Math 5th Grade Module 2 Lesson 10 Homework Answer Key 6

Answer:
21 x 82 = 1722 tenths.

Explanation:
In the above-given question,
given that,
21 x 82.
82 x 21 tenths.
1722 tenths.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-14

Question 2.
Estimate. Then, use the standard algorithm to solve. Express your products in standard form.
a. 4.2 × 34 ≈ ___42____ × ___34____ = ___1428 tenths____
Eureka Math 5th Grade Module 2 Lesson 10 Homework Answer Key 7

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.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-15

b. 65 × 5.8 ≈ __65_____ × __5.8_____ = __3770 tenths_____
Eureka Math 5th Grade Module 2 Lesson 10 Homework Answer Key 8

Answer:
65 x 58 = 3770 tenths.

Explanation:
In the above-given question,
given that,
65 x 5.8.
65 x 58 tenths.
3770 tenths.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-16

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.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-17

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.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-18

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.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-19

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.
Eureka-Math-Grade-5-Module-2-Lesson-10-Answer Key-20

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.

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