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
Answer:
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
Answer:
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
Answer:
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
Answer:
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
Answer:
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
Answer:
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
Answer:
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
Answer:
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
Answer:
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.
Answer:
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?
Answer:
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?
Answer:
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?
Answer:
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?
Answer:
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__________
Answer:
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__________
Answer:
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
Answer:
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
Answer:
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
Answer:
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
Answer:
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
Answer:
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
Answer:
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
Answer:
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
Answer:
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
Answer:
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.
Answer:
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?
Answer:
1912 x 305 = 5,83,160.
Explanation:
In the above-given question,
given that,
1912 x 305 = 5,83,160.
