## Engage NY Eureka Math 5th Grade Module 2 Lesson 8 Answer Key

### Eureka Math Grade 5 Module 2 Lesson 8 Problem Set Answer Key

Question 1.
Estimate the product first. Solve by using the standard algorithm. Use your estimate to check the reasonableness of the product.
a. 213 × 328
≈ 200 × 300
= 60,000

200 x 300 = 60000
213 x 328 = 69864

Explanation:
In the above-given question,
given that,
200 x 300 = 60000.
213 x 328.
69864.

b. 662 × 372

600 x 300 = 180000
662 x 372 = 2,46,264.

Explanation:
In the above-given question,
given that,
600 x 300 = 180000.
662 x 372.
246264.

c. 739 × 442

700 x 400 = 280000
739 x 442 = 3,26,638

Explanation:
In the above-given question,
given that,
700 x 400 = 280000.
739 x 442.
3,26,638.

d. 807 × 491

200 x 300 = 60000
213 x 328 = 69864

Explanation:
In the above-given question,
given that,
200 x 300 = 60000.
213 x 328.
69864.

e. 3,502 × 656

3000 x 600 = 180000
3502 x 656 = 22,97,312

Explanation:
In the above-given question,
given that,
200 x 300 = 180000.
3502 x 656.
22,97,312.

f. 4,390 × 741

4000 x 700 = 2800000
4390 x 741 = 32,52,990

Explanation:
In the above-given question,
given that,
4000 x 700 = 2800000.
4390 x 741.
32,52,990.

g. 530 × 2,075

500 x 2000 = 100000
530 x 2075 = 10,99,750

Explanation:
In the above-given question,
given that,
500 x 2000 = 100000.
530 x 2075.
1099750.

h. 4,004 × 603

4000 x 600 = 2400000
4004 x 603 = 24,14,412

Explanation:
In the above-given question,
given that,
4000 x 600 = 2400000.
4004 x 603.
24,14,412.

i. 987 × 3,105

900 x 3000 = 2700000
987 x 3105 = 30,64,635.

Explanation:
In the above-given question,
given that,
900 x 3000 = 2700000.
987 x 3105.
30,64,635.

Question 2.
Each container holds 1 L 275 mL of water. How much water is in 609 identical containers? Find the difference between your estimated product and precise product.

estimated product = 6,00,000.
precise product = 7,76,475.

Explanation:
In the above-given question,
given that,
Each container holds 1 L 275 ml of water.
609 x 1275 = 7,76,475 L.

Question 3.
A club had some money to purchase new chairs. After buying 355 chairs at $199 each, there was$1,068 remaining. How much money did the club have at first?

The money did the club have at first = $69,577. Explanation: In the above-given question, given that, A club had some money to purchase new chairs. After buying 355 chairs at$199 each there was $1068 remaining. 355 x$ 199 = 70,645.
70,645 – 1068.
69,577.

Question 4.
So far, Carmella has collected 14 boxes of baseball cards. There are 315 cards in each box. Carmella estimates that she has about 3,000 cards, so she buys 6 albums that hold 500 cards each.
a. Will the albums have enough space for all of her cards? Why or why not?

The albums did not have enough space for all of her cards.

Explanation:
In the above-given question,
given that,
Carmella has collected 14 boxes of baseball cards.
There are 315 cards in each box.
14 x 315 = 4410.
Carmella estimates that she has about 3000 cards.
so she buys 6 albums that hold 500 cards each.
3000 + 500 = 3500.
so the albums did not have enough space for all of her cards.

b. How many cards does Carmella have?

The Carmella has 3500 cards.

Explanation:
In the above-given question,
given that,
Carmella has 3000 cards.
so she buys 6 albums that hold 500 cards each.
3000 + 500 = 3500 cards.

c. How many albums will she need for all of her baseball cards?

The albums she needs for all of her baseball cards = 6 albums.

Explanation:
In the above-given question,
given that,
there are 3500 cards.
6 albums = 500 cards.
3500 + 500 = 4000 cards.

### Eureka Math Grade 5 Module 2 Lesson 8 Exit Ticket Answer Key

Estimate the product first. Solve by using the standard algorithm. Use your estimate to check the reasonableness of the product.
a. 283 × 416

≈ _____200___________ × _______400_________
= ______80000__________

200 x 400 = 80000
283 x 416 = 1,17,728.

Explanation:
In the above-given question,
given that,
200 x 400 = 80000.
283 x 416.
1,17,728.

b. 2,803 × 406
≈ _____2000___________ × _____400___________
= ______80000__________

2000 x 400 = 80000
2803 x 406 =11,21,200

Explanation:
In the above-given question,
given that,
400 x 2000 = 800000.
406 x 2803.
11,21,200.

### Eureka Math Grade 5 Module 2 Lesson 8 Homework Answer Key

Question 1.
Estimate the product first. Solve by using the standard algorithm. Use your estimate to check the reasonableness of the product.
a. 312 × 149
≈ 300 × 100
= 30,000

300 x 100 = 30000
312 x 149 = 46,488.

Explanation:
In the above-given question,
given that,
300 x 100 = 30000.
312 x 149.
46488.

b. 743 × 295

900 x 3000 = 2700000
987 x 3105 = 30,64,635.

Explanation:
In the above-given question,
given that,
900 x 3000 = 2700000.
987 x 3105.
30,64,635.

c. 428 × 637

400 x 600 = 240000
428 x 637 = 272636.

Explanation:
In the above-given question,
given that,
400 x 600 = 240000.
428 x 637.
272636.

d. 691 × 305

600 x 300 = 180000
691 x 305 = 207300.

Explanation:
In the above-given question,
given that,
600 x 300 = 180000.
691 x 305.
207300.

e. 4,208 × 606

4000 x 600 = 2400000
4208 x 606 = 2550048.

Explanation:
In the above-given question,
given that,
600 x 4000 = 2400000.
606 x 4208.
2550048.

f. 3,068 × 523

500 x 3000 = 1500000
523 x 3068 = 1604564.

Explanation:
In the above-given question,
given that,
500 x 3000 = 1500000.
523 x 3068.
1604564.

g. 430 × 3,064

400 x 3000 = 1200000
430 x 3064 = 12,34,792.

Explanation:
In the above-given question,
given that,
400 x 3000 = 1200000.
430 x 3064.
12,34,792.

h. 3,007 × 502

500 x 3000 = 1500000
502 x 3007 = 15,09,514.

Explanation:
In the above-given question,
given that,
500 x 3000 = 1500000.
502 x 3007.
15,09,514.

i. 254 × 6,104

200 x 6000 = 1200000
254 x 6104 = 15,50,416.

Explanation:
In the above-given question,
given that,
200 x 6000 = 2700000.
254 x 6104.
15,50,416.

Question 2.
When multiplying 1,729 times 308, Clayton got a product of 53,253. Without calculating, does his product seem reasonable? Explain your thinking.

Yes, the product seems reasonable.

Explanation:
In the above-given question,
given that,
1729 x 308.
5,32,532.

Question 3.
A publisher prints 1,912 copies of a book in each print run. If they print 305 runs, the manager wants to know about how many books will be printed. What is a reasonable estimate?