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Engage NY Eureka Math 3rd Grade Module 2 Lesson 20 Answer Key

Eureka Math Grade 3 Module 2 Lesson 20 Sprint Answer Key

A
Round to the Nearest Hundred

Question 1.
201 ≈

Answer:
201 ≈ 200

Question 2.
301 ≈

Answer:
301 ≈ 300

Question 3.
401 ≈

Answer:
401 ≈ 400

Question 4.
801 ≈

Answer:
801 ≈ 800

Question 5.
1,801 ≈

Answer:
1801 ≈ 1800

Question 6.
2,801 ≈

Answer:
2801 ≈ 2800

Question 7.
3,801 ≈

Answer:
3801 ≈ 3800

Question 8.
7,801 ≈

Answer:
7801 ≈ 7800

Question 9.
290 ≈

Answer:
290 ≈ 300

Question 10.
390 ≈

Answer:
390 ≈ 400

Question 11.
490 ≈

Answer:
490 ≈ 500

Question 12.
890 ≈

Answer:
890 ≈ 900

Question 13.
1,890 ≈

Answer:
1890 ≈ 1900

Question 14.
2,890 ≈

Answer:
2890 ≈ 2900

Question 15.
3,890 ≈

Answer:
3890 ≈ 3900

Question 16.
7,890 ≈

Answer:
7890 ≈ 7900

Question 17.
512 ≈

Answer:
512 ≈ 500

Question 18.
2,512 ≈

Answer:
2512 ≈ 2500

Question 19.
423 ≈

Answer:
423 ≈ 400

Question 20.
3,423 ≈

Answer:
3423 ≈ 3400

Question 21.
677 ≈

Answer:
677 ≈ 700

Question 22.
4,677 ≈

Answer:
4677 ≈ 4700

Question 23.
350 ≈

Answer:
350 ≈ 400

Question 24.
1,350 ≈

Answer:
1350 ≈ 1400

Question 25.
450 ≈

Answer:
450 ≈ 500

Question 26.
5,450 ≈

Answer:
5540 ≈ 5500

Question 27.
850 ≈

Answer:
850 ≈ 900

Question 28.
6,850 ≈

Answer:
6850 ≈ 6900

Question 29.
649 ≈

Answer:
649 ≈ 600

Question 30.
651 ≈

Answer:
651 ≈ 700

Question 31.
691 ≈

Answer:
691 ≈ 700

Question 32.
791 ≈

Answer:
791 ≈ 800

Question 33.
891 ≈

Answer:
891 ≈ 900

Question 34.
991 ≈

Answer:
991 ≈ 1000

Question 35.
995 ≈

Answer:
995 ≈ 1000

Question 36.
998 ≈

Answer:
998 ≈ 1000

Question 37.
9,998 ≈

Answer:
9998 ≈ 10000

Question 38.
7,049 ≈

Answer:
7049 ≈ 7000

Question 39.
4,051 ≈

Answer:
4051 ≈ 4100

Question 40.
8,350 ≈

Answer:
8350 ≈ 8400

Question 41.
3,572 ≈

Answer:
3572 ≈ 3600

Question 42.
9,754 ≈

Answer:
9754 ≈ 9800

Question 43.
2,915 ≈

Answer:
2915 ≈ 2900

Question 44.
9,996 ≈

Answer:
9996 ≈ 10000

B
Round to the Nearest Hundred

Question 1.
101 ≈

Answer:
101 ≈ 100

Question 2.
201 ≈

Answer:
201 ≈ 200

Question 3.
301 ≈

Answer:
301 ≈ 300

Question 4.
701 ≈

Answer:
701 ≈ 700

Question 5.
1,701 ≈

Answer:
1701 ≈ 1700

Question 6.
2,701 ≈

Answer:
2701 ≈ 2700

Question 7.
3,701 ≈

Answer:
3701 ≈ 3700

Question 8.
8,701 ≈

Answer:
8701 ≈ 8700

Question 9.
190 ≈

Answer:
190 ≈ 200

Question 10.
290 ≈

Answer:
290 ≈ 300

Question 11.
390 ≈

Answer:
390 ≈ 400

Question 12.
790 ≈

Answer:
790 ≈ 800

Question 13.
1,790 ≈

Answer:
1790 ≈ 1800

Question 14.
2,790 ≈

Answer:
2790 ≈ 2800

Question 15.
3,790 ≈

Answer:
3790 ≈ 3800

Question 16.
8,790 ≈

Answer:
8790 ≈ 8800

Question 17.
412 ≈

Answer:
412 ≈ 400

Question 18.
2,412 ≈

Answer:
2412 ≈ 2400

Question 19.
523 ≈

Answer:
523 ≈ 500

Question 20.
3,523 ≈

Answer:
3523 ≈ 3500

Question 21.
877 ≈

Answer:
877 ≈ 900

Question 22.
4,877 ≈

Answer:
4877 ≈ 4900

Question 23.
250 ≈

Answer:
250 ≈ 300

Question 24.
1,250 ≈

Answer:
1250 ≈ 1300

Question 25.
350 ≈

Answer:
350 ≈ 400

Question 26.
5,350 ≈

Answer:
5350 ≈ 5400

Question 27.
750 ≈

Answer:
750 ≈ 800

Question 28.
6,750 ≈

Answer:
6750 ≈ 6800

Question 29.
649 ≈

Answer:
649 ≈ 600

Question 30.
652 ≈

Answer:
652 ≈ 700

Question 31.
692 ≈

Answer:
692 ≈ 700

Question 32.
792 ≈

Answer:
792 ≈ 800

Question 33.
892 ≈

Answer:
892 ≈ 900

Question 34.
992 ≈

Answer:
992 ≈ 1000

Question 35.
996 ≈

Answer:
996 ≈ 1000

Question 36.
999 ≈

Answer:
999 ≈ 1000

Question 37.
9,999 ≈

Answer:
9999 ≈ 10000

Question 38.
4,049 ≈

Answer:
4049 ≈ 4000

Question 39.
2,051 ≈

Answer:
2051 ≈ 2100

Question 40.
7,350 ≈

Answer:
7350 ≈ 7400

Question 41.
4,572 ≈

Answer:
4572 ≈ 4600

Question 42.
8,754 ≈

Answer:
8754 ≈ 8800

Question 43.
3,915 ≈

Answer:
3915 ≈ 3900

Question 44.
9,997 ≈

Answer:
9997 ≈ 10000

Eureka Math Grade 3 Module 2 Lesson 20 Problem Set Answer Key

Question 1.
a. Find the actual differences either on paper or using mental math. Round each total and part to the nearest hundred and find the estimated differences.

Answer:

b. Look at the differences that gave the most precise estimates. Explain below what they have in common. You might use a number line to support your explanation.

Answer:

Explanation:
In the differences that gave the most precise estimates both numbers either rounded down or both numbers rounded up.So, its different for subtractions than for additions.
When the numbers round the same way the distance is staying about the same.When we round in opposite directions the distance gets either much longer or shorter!

Question 2.
Camden uses a total of 372 liters of gas in two months. He uses 184 liters of gas in the first month. How many liters of gas does he use in the second month?
a. Estimate the amount of gas Camden uses in the second month by rounding each number as you think best.

Answer:
372 L ≈ 400 L
184 L ≈ 200 L
400L-200L=200L
Camden uses about 200 liters of gas in the second month.

b. How many liters of gas does Camden actually use in the second month? Model the problem with a tape diagram.

Answer:

Explanation:
Camden actually uses 188 L of gas in the second month.

Eureka Math Grade 3 Module 2 Lesson 20 Exit Ticket Answer Key

Question 3.
The weight of a pear, apple, and peach are shown to the right. The pear and apple together weigh 372 grams. How much does the peach weigh?
a. Estimate the weight of the peach by rounding each number as you think best. Explain your choice.

Answer:

Explanation:
The peach weighs about 130g.I decided to round 372g to the nearest 10g and do mental math.500g is already rounded to the nearest 10g.

b. How much does the peach actually weigh? Model the problem with a tape diagram.

Answer:

Explanation:
The peach weighs 128grams.

Question:4
Kathy buys a total of 416 grams of frozen yogurt for herself and a friend. She buys 1 large cup and 1 small cup.

a. Estimate how many grams are in the small cup of yogurt by rounding.

Answer:
416 g ≈ 400 g
363 g ≈ 400 g
400-400=0 g
Therefore the estimated weight of small cup of yogurt by rounding to nearest hundreds is 0

b. Estimate how many grams are in the small cup of yogurt by rounding in a different way.

Answer:
416 g ≈ 420 g
363 g ≈ 360 g
420-360=60 g
Therefore the estimated weight of small cup of yogurt by rounding to nearest tens is 60 g.

c. How many grams are actually in the small cup of yogurt?

Answer:

d. Is your answer reasonable? Which estimate was closer to the exact weight? Explain why.

Answer:
Yes my answer was reasonable.The estimate where we rounded the numbers to the nearest tens is close to the exact weight as the difference between the estimated and the exact weight is just 7 g.

Eureka Math Grade 3 Module 2 Lesson 20 Homework Answer Key

Question 1.
Melissa and her mom go on a road trip. They drive 87 kilometers before lunch. They drive 59 kilometers after lunch.
a. Estimate how many more kilometers they drive before lunch than after lunch by rounding to the nearest 10 kilometers.

Answer:
87 km ≈  90 km
59 km ≈  60 km
90-60=30km
Melissa and her mom drove 30 km before lunch than after lunch.

b. Precisely how much farther do they drive before lunch than after lunch?

Answer:
87-59=28 km

c. Compare your estimate from (a) to your answer from (b). Is your answer reasonable? Write a sentence to explain your thinking.

Answer:
30 km is near to 28 km.
Yes my answer is reasonable as their is only 2 km difference ib between the estimated and the actual answer.

Question 2.
Amy measures ribbon. She measures a total of 393 centimeters of ribbon and cuts it into two pieces. The first piece is 184 centimeters long. How long is the second piece of ribbon?
a. Estimate the length of the second piece of ribbon by rounding in two different ways.

Answer:
Round of to nearest hundreds
393 cm ≈ 400 cm

184 cm ≈ 200 cm
400-200cm=200cm
The second piece of ribbon is about 200cm.

Rund of to nearest tens.
393 cm ≈ 390 cm
184 cm ≈ 180 cm
390-180=210 cm
The second piece of ribbon is about 210cm.

b. Precisely how long is the second piece of ribbon? Explain why one estimate was closer.

Answer:

The actual length of the second piece of ribbon is 199cm.
My first estimate when rounded to nearest hundreds is very close to the actual answer just by 1cm difference.

Question 3.
The weight of a chicken leg, steak, and ham are shown to the right. The chicken leg and the steak together weigh 341 grams. How much does the ham weigh?
a. Estimate the weight of the ham by rounding.

Answer:
989 g ≈ 1000 g
341 g ≈ 300 g
1000-300=600 g
The estimated weight of the ham by rounding is 600 g.

b. How much does the ham actually weigh?
989-341=648 g

Question 4.
Kate uses 506 liters of water each week to water plants. She uses 252 liters to water the plants in the greenhouse. How much water does she use for the other plants?
a. Estimate how much water Kate uses for the other plants by rounding.

Answer:
Round of to nearest hundreds
506 L ≈ 500 L
252 L ≈ 300 L
500-300=200 L
Kate uses 200 L of water for the other plants by rounding.

b. Estimate how much water Kate uses for the other plants by rounding a different way.

Answer:
Round of to nearest tens.
506 L ≈ 500 L
252 L ≈  250 L
500-250=250 L
Kate uses 250 L of water for the other plants by rounding.

c. How much water does Kate actually use for the other plants? Which estimate was closer? Explain why.

Answer:
506 L-252 L=254 L

My estimate where i rounded the numbers to the nearest tens is closer as the difference between the estimated and the actual answer is 4 L only.

Engage NY Eureka Math 3rd Grade Module 2 Lesson 19 Answer Key

Eureka Math Grade 3 Module 2 Lesson 19 Problem Set Answer Key

Question 1.
Solve the subtraction problems below.
a. 340 cm – 60 cm

Answer:
340 cm – 60 cm=380cm

b. 340 cm – 260 cm

Answer:
340 cm – 260 cm=80cm

c. 513 g – 148 g

Answer:
513 g – 148 g=365g

d. 641 g – 387 g

Answer:
641 g – 387 g=254g

e. 700 mL – 52 mL

Answer:
700 mL – 52 mL=648ml

f. 700 mL – 452 mL

Answer:
700 mL – 452 mL=248ml

g. 6 km 802 m – 2 km 569 m

Answer:
6 km 802 m – 2 km 569 m=4 km 233m

h. 5 L 920 mL – 3 L 869 mL

Answer:
5 L 920 mL – 3 L 869 mL=2 L 51mL

Question 2.
David is driving from Los Angeles to San Francisco. The total distance is 617 kilometers. He has 468 kilometers left to drive. How many kilometers has he driven so far?

Answer:

Explanation:
David is driving from Los Angeles to San Francisco. The total distance is 617 kilometers. He has 468 kilometers left to drive
Subtract 468 from 617
617-468=149 km
David has driven 149 kilometers so far.

Question 3.
The piano weighs 289 kilograms more than the piano bench. How much does the bench weigh?

Answer:

Explanation:
The piano weighs 289 kilograms more than the piano bench, the piano weighs 290kg
To find the weight of the bench subtract 289 from 297kg
297-289kg=8kg
Therefore, the weight of the bench is 8kg.

Question 4.
Tank A holds 165 fewer liters of water than Tank B. Tank B holds 400 liters of water. How much water does Tank A hold?

Answer:

Explanation:
Tank A holds 165 fewer liters of water than Tank B. Tank B holds 400 liters of water
Subtract 165 from 400
400-165=235L
Therefore, Tank A holds 235L.

Eureka Math Grade 3 Module 2 Lesson 19 Exit Ticket Answer Key

Question 1.
Solve the subtraction problems below.
a. 346 m − 187 m

Answer:
346 m − 187 m=159m

b. 700 kg − 592 kg

Answer:
700 kg − 592 kg=108kg

Question 2.
The farmer’s sheep weighs 647 kilograms less than the farmer’s cow. The cow weighs 725 kilograms. How much does the sheep weigh?

Answer:

Explanation:
The farmer’s sheep weighs 647 kilograms less than the farmer’s cow. The cow weighs 725 kilograms
To find the weight of sheep subtract 647 from 725kg
725-647=78kg
Therefore, the sheep weighs 78kg.

Eureka Math Grade 3 Module 2 Lesson 19 Homework Answer Key

Question 1.
Solve the subtraction problems below.
a. 280 g − 90 g

Answer:
280 g − 90 g=190g

b. 450 g − 284 g

Answer:

450 g – 284 g=166g

c. 423 cm − 136 cm

Answer:
423 cm – 136 cm=287 cm

d. 567 cm − 246 cm

Answer:
567 cm – 246 cm = 321 cm

e. 900 g − 58 g

Answer:
900 g – 58 g = 842 g

f. 900 g − 358 g

Answer:
900 g – 358 g = 542 g

g. 4 L 710 mL − 2 L 690 mL

Answer:
4 L 710 ml – 2 L 690 ml = 2 L  20ml

h. 8 L 830 mL − 4 L 378 mL

Answer:
8 L 830 ml – 4 L 378 ml =4 L 452 ml

Question 2.
The total weight of a giraffe and her calf is 904 kilograms. How much does the calf weigh? Use a tape diagram to model your thinking.

Answer:

Explanation:
The total weight of a giraffe and her calf is 904 kilograms, the weight of giraffe is 829 kg.
To find the weight of calf subtract 829 from 904
904-829=75kg
Therefore, the calf weighs 75kg.

Question 3.
The Erie Canal runs 584 kilometers from Albany to Buffalo. Salvador travels on the canal from Albany. He must travel 396 kilometers more before he reaches Buffalo. How many kilometers has he traveled so far?

Answer:

Explanation:
The Erie Canal runs 584 kilometers from Albany to Buffalo. Salvador travels on the canal from Albany. He must travel 396 kilometers more before he reaches Buffalo.
To find the number of kilometers he traveled so far subtarct 396km from 584km
584-396=188km
Therefore, Salvador traveled 188km so far.

Question 4.
Mr. Nguyen fills two inflatable pools. The kiddie pool holds 185 liters of water. The larger pool holds 600 liters of water. How much more water does the larger pool hold than the kiddie pool?

Answer:

Explanation:
Mr. Nguyen fills two inflatable pools. The kiddie pool holds 185 liters of water. The larger pool holds 600 liters of water
To find the number of liters the larger pool hold than the kiddie pool subtract 185l from 60l
600-185=415L
Therefore, the larger pool holds 415L of water more than the kiddie pool.

Engage NY Eureka Math 3rd Grade Module 2 Lesson 18 Answer Key

Eureka Math Grade 3 Module 2 Lesson 18 Problem Set Answer Key

Question 1.
Solve the subtraction problems below.
a. 60 mL – 24 mL

Answer:
60 mL – 24 mL=36ml

b. 360 mL – 24 mL

Answer:
360 mL – 24 mL=336ml

c. 360 mL – 224 mL

Answer:
360 mL – 224 mL=136ml

d. 518 cm – 21 cm

Answer:
518 cm – 21 cm=497ml

e. 629 cm – 268 cm

Answer:
629cm-268cm=361cm

f. 938 cm – 440 cm

Answer:
938cm-440cm=498cm

g. 307 g – 130 g

Answer:
307g-130g=177g

h. 307 g – 234 g

Answer:
307g-234g=73g

i. 807 g – 732 g

Answer:
807g-732g=75g

j. 2 km 770 m – 1 km 455 m

Answer:
2 km 770 m – 1 km 455 m=1km 315m

k. 3 kg 924 g – 1 kg 893 g

Answer:
3 kg 924 g – 1 kg 893 g=2kg 31g

Question 2.
The total weight of 3 books is shown to the right. If 2 books weigh 233 grams, how much does the third book weigh? Use a tape diagram to model the problem.

Answer:

Explanation:
The total weight of 3 books is 405g, If 2 books weigh 233 grams the the weight of 3rd book is 405g-233g.
Therefore, the third book weigh is 172g.

Question 3.
The chart to the right shows the lengths of three movies.
a. The movie Champions is 22 minutes shorter than The Lost Ship. How long is Champions?

Answer:

Explanation:
The movie Champions is 22 minutes shorter than The Lost Ship, The Lost Ship is 117minutes long.
117-22min=95min
Therefore, the movie Champions is 95 minutes long.

b. How much longer is Magical Forests than Champions?

Answer:

Explanation:
The movie Champions is 95 minutes long, Magical Forests is 145min long.
145-95=50min
Therefore, Magical Forests is 50min longer than Champions.

Question 4.
The total length of a rope is 208 centimeters. Scott cuts it into 3 pieces. The first piece is 80 centimeters long. The second piece is 94 centimeters long. How long is the third piece of rope?

Answer:

Explanation:
The total length of a rope is 208 centimeters, The first piece is 80 centimeters long. The second piece is 94 centimeters long.
Length of 2 pieces is 94+80=174cm
The third piece is 208-174=34cm.

Eureka Math Grade 3 Module 2 Lesson 18 Exit Ticket Answer Key

Question 1.
Solve the subtraction problems below.
a. 381 mL − 146 =235mlmL

Answer:
381 mL − 146 mL

b. 730 m − 426 m

Answer:
730 m − 426 m=304m

c. 509 kg − 384 kg

Answer:
509 kg − 384 kg=125kg

Question 2.
The total length of a banner is 408 centimeters. Carly paints it in 3 sections. The first 2 sections she paints are 187 centimeters long altogether. How long is the third section?

Answer:

Explanation:
The total length of a banner is 408 centimeters, Carly paints it in 3 sections. The first 2 sections she paints are 187 centimeters long altogether
The length of the third section is 408-187cm=221cm.

Eureka Math Grade 3 Module 2 Lesson 18 Homework Answer Key

Question 1.
Solve the subtraction problems below.
a. 70 L − 46 L

Answer:
70 L − 46 L=24L

b. 370 L – 46 L

Answer:

370 L – 46 L=324L

c. 370 L – 146 L

Answer:
370 L – 146 L=225L

d. 607 cm − 32 cm

Answer:
607 cm − 32 cm=575cm

e. 592 cm − 258 cm

Answer:
592 cm − 258 cm=334cm

f. 918 cm − 553 cm

Answer:

918 cm − 553 cm=365cm

g. 763 g − 82 g

Answer:
763 g − 82 g=681g

h. 803 g − 542 g

Answer:
803 g − 542 g=261g

i. 572 km − 266 km

Answer:

572 km − 266 km=306km

j. 837 km − 645 km

Answer:
837 km − 645 km=192km

Question 2.
The magazine weighs 280 grams less than the newspaper. The weight of the newspaper is shown below. How much does the magazine weigh? Use a tape diagram to model your thinking.

Answer:

Explanation:
The weight of the newspaper is 454g, the magazine weighs 280 grams less than the newspaper.
454-280=174g
Therefore, the magazine weighs 174g.

Question 3.
The chart to the right shows how long it takes to play 3 games.
a. Francesca’s basketball game is 22 minutes shorter than Lucas’s baseball game. How long is Francesca’s basketball game?

b. How much longer is Francesca’s basketball game than Joey’s football game?

Engage NY Eureka Math 3rd Grade Module 2 Lesson 17 Answer Key

Eureka Math Grade 3 Module 2 Lesson 17 Sprint Answer Key

A
Round to the Nearest Ten

Question 1.
21 ≈

Answer:
21 ≈ 20

Question 2.
31 ≈

Answer:
31≈30

Question 3.
41 ≈

Answer:
41≈40

Question 4.
81 ≈

Answer:
81≈80

Question 5.
59 ≈

Answer:
59≈60

Question 6.
49 ≈

Answer:
49≈50

Question 7.
39 ≈

Answer:
39≈40

Question 8.
19 ≈

Answer:
19≈20

Question 9.
36 ≈

Answer:
36≈40

Question 10.
34 ≈

Answer:
34≈30

Question 11.
56 ≈

Answer:
56≈60

Question 12.
54 ≈

Answer:
54≈50

Question 13.
77 ≈

Answer:
77≈80

Question 14.
73 ≈

Answer:
73≈70

Question 15.
68 ≈

Answer:
68≈70

Question 16.
62 ≈

Answer:
62≈60

Question 17.
25 ≈

Answer:
25≈30

Question 18.
35 ≈

Answer:
35≈40

Question 19.
45 ≈

Answer:
45≈50

Question 20.
75 ≈

Answer:
75≈80

Question 21.
85 ≈

Answer:
85≈90

Question 22.
15 ≈

Answer:
15≈20

Question 23.
79 ≈

Answer:
79≈80

Question 24.
89 ≈

Answer:
89≈90

Question 25.
99 ≈

Answer:
99≈100

Question 26.
109 ≈

Answer:
109≈110

Question 27.
119 ≈

Answer:
119≈120

Question 28.
149 ≈

Answer:
149≈150

Question 29.
311 ≈

Answer:
311≈310

Question 30.
411 ≈

Answer:
411≈410

Question 31.
519 ≈

Answer:
519≈520

Question 32.
619 ≈

Answer:
619≈620

Question 33.
629 ≈

Answer:
629≈630

Question 34.
639 ≈

Answer:
639≈640

Question 35.
669 ≈

Answer:
669≈670

Question 36.
969 ≈

Answer:
969≈970

Question 37.
979 ≈

Answer:
979≈980

Question 38.
989 ≈

Answer:
989≈990

Question 39.
999 ≈

Answer:
999≈1000

Question 40.
1,109 ≈

Answer:
1109≈1110

Question 41.
1,119 ≈

Answer:
1119≈1120

Question 42.
3,227 ≈

Answer:
3227≈3230

Question 43.
5,487 ≈

Answer:
5487≈5490

Question 44.
7,885 ≈

Answer:
7885≈7890

B
Round to the Nearest Ten

Question 1.
11 ≈

Answer:
11≈10

Question 2.
21 ≈

Answer:
21≈20

Question 3.
31 ≈

Answer:
31≈30

Question 4.
71 ≈

Answer:
71≈70

Question 5.
69 ≈

Answer:
69≈70

Question 6.
59 ≈

Answer:
59≈60

Question 7.
49 ≈

Answer:
49≈50

Question 8.
19 ≈

Answer:
19≈20

Question 9.
26 ≈

Answer:
26≈30

Question 10.
24 ≈

Answer:
24≈20

Question 11.
46 ≈

Answer:
46≈50

Question 12.
44 ≈

Answer:
44≈40

Question 13.
87 ≈

Answer:
87≈90

Question 14.
83 ≈

Answer:
83≈80

Question 15.
78 ≈

Answer:
78≈80

Question 16.
72 ≈

Answer:
72≈70

Question 17.
15 ≈

Answer:
15≈20

Question 18.
25 ≈

Answer:
25≈30

Question 19.
35 ≈

Answer:
35≈40

Question 20.
75 ≈

Answer:
75≈80

Question 21.
85 ≈

Answer:
85≈90

Question 22.
45 ≈

Answer:
45≈50

Question 23.
79 ≈

Answer:
79≈80

Question 24.
89 ≈

Answer:
89≈90

Question 25.
99 ≈

Answer:
99≈100

Question 26.
109 ≈

Answer:
109≈110

Question 27.
119 ≈

Answer:
119≈120

Question 28.
159 ≈

Answer:
159≈160

Question 29.
211 ≈

Answer:
211≈210

Question 30.
311 ≈

Answer:
311≈310

Question 31.
418 ≈

Answer:
418≈420

Question 32.
518 ≈

Answer:
518≈520

Question 33.
528 ≈

Answer:
528≈530

Question 34.
538 ≈

Answer:540
538≈

Question 35.
568 ≈

Answer:
568≈570

Question 36.
968 ≈

Answer:
968≈970

Question 37.
978 ≈

Answer:
978≈980

Question 38.
988 ≈

Answer:
988≈990

Question 39.
998 ≈

Answer:
998≈1000

Question 40.
1,108 ≈

Answer:
1108≈1110

Question 41.
1,118 ≈

Answer:
1118≈1120

Question 42.
2,337 ≈

Answer:
2337≈2340

Question 43.
4,578 ≈

Answer:
4578≈4580

Question 44.
8,785 ≈

Answer:
8785≈8790

Eureka Math Grade 3 Module 2 Lesson 17 Problem Set Answer Key

Question 1.
a. Find the actual sum either on paper or using mental math. Round each addend to the nearest hundred, and find the estimated sums.

Answer:

b. Look at the sums that gave the most precise estimates. Explain below what they have in common. You might use a number line to support your explanation.

Answer:
All of the numbers that i added were really close to the halfway point.In the sums that gave the most precise estimates, one number always rounded up and one number always rounded down.So, they balanced eachother out and gave the most precise estimate.
Part:A     451+249=700
451   500                                    249    200

500+200=700   It gave the same answer.

Question 2.
Janet watched a movie that is 94 minutes long on Friday night. She watched a movie that is 151 minutes long on Saturday night.
a. Decide how to round the minutes. Then, estimate the total minutes Janet watched movies on Friday and Saturday.

Answer:
The total minutes Janet watched movies on Friday and Saturday is about 240minutes.

Explanation:
94 ≈ 90
151 ≈ 150
150+90=240minutes
I decided to round the numbers to the nearest ten minutes and estimated that
the total minutes Janet watched movies on Friday and Saturday is 240minutes.

b. How much time did Janet actually spend watching movies?

Answer:
The time Janet actually spend watching movies is 245 minutes.

Explanation:
The time Janet actually spend watching movies is 94 minutes on friday and 151 minutes on saturday.
Add to find the total
94+151=245
The time Janet actually spend watching movies is 245 minutes.

c. Explain whether or not your estimated sum is close to the actual sum. Round in a different way, and see which estimate is closer.

Answer:
Yes, the estimated sum is close to the real sum when we rounded of he numbers to the nearest tens.Actual sum is 240 and the real sum is 245.
If we round of the numbers to nearest hundred the sum is not very close to the actual sum.
94 ≈ 100, 151 ≈ 200.

Question 3.
Sadie, a bear at the zoo, weighs 182 kilograms. Her cub weighs 74 kilograms.
a. Estimate the total weight of Sadie and her cub using whatever method you think best.

Answer:
250kilograms is the estimated total weight of Sadie and her cub

Explanation:
Using rounding to nearest tens
182 ≈ 180
74 ≈ 70
180+70=250
250kilograms is the estimated total weight of Sadie and her cub

b. What is the actual weight of Sadie and her cub? Model the problem with a tape diagram.

Answer:
256kilograms is the actual weight of Sadie and her cub.

Eureka Math Grade 3 Module 2 Lesson 17 Exit Ticket Answer Key

Jesse practices the trumpet for a total of 165 minutes during the first week of school. He practices for 245 minutes during the second week.
a. Estimate the total amount of time Jesse practices by rounding to the nearest 10 minutes.

Answer:
420 minutes is the total amount of time Jesse practices by rounding to the nearest 10 minutes.

Explanation:
165 ≈ 170
245 ≈ 250
170+250=420minutes
The total amount of time Jesse practices by rounding to the nearest 10 minutes is 420minutes.

b. Estimate the total amount of time Jesse practices by rounding to the nearest 100 minutes.

Answer:
400minutes is the total amount of time Jesse practices by rounding to the nearest 100 minutes.

Explanation:
165 ≈ 200
245 ≈ 200
200+200=400minutes
The total amount of time Jesse practices by rounding to the nearest 100 minutes is 240minutes.

c. Explain why the estimates are so close to each other.

Answer:
When we rounded of the numbers to the nearest hundreds one number is rounded up to the next hundred and one is rounded down to the previous hundred which made it balanced.So , both the estimates are close to each other.

Eureka Math Grade 3 Module 2 Lesson 17 Homework Answer Key

Question 1.
Cathy collects the following information about her dogs, Stella and Oliver.

Use the information in the charts to answer the questions below.
a. Estimate the total weight of Stella and Oliver.

Answer:
Weight of Stella and oliver are 32 and 7 kgs.
32  ≈   30
7  ≈   10
30+10=40kgs
Estimated total weight of Stella and Oliver is 40kg

b. What is the actual total weight of Stella and Oliver?

Answer:
Weight of Stella and oliver are 32 and 7 kgs
32+7=39kg
39kg is the actual total weight of Stella and Oliver.

c. Estimate the total amount of time Cathy spends giving her dogs a bath.

Answer:
Bath time of Stella and Oliver are 36minutes and 25minutes.
36 ≈ 40
25 ≈ 30
40+30=70minutes
The estimated total amount of time Cathy spends giving her dogs a bath is 70minutes.

d. What is the actual total time Cathy spends giving her dogs a bath?

Answer:
Bath time of Stella and Oliver are 36minutes and 25minutes
36+25=61minutes
The actual total time Cathy spends giving her dogs a bath is 61 minutes.

Answer:
e. Explain how estimating helps you check the reasonableness of your answers.

Answer:
We can use estimation to check for reasonableness with all numbers. When we use estimation, it won’t tell us whether we actually have the correct answer, but it will tell us if we’re close and our answer is probably right

Question 2.
Dena reads for 361 minutes during Week 1 of her school’s two-week long Read-A-Thon. She reads for 212 minutes during Week 2 of the Read-A-Thon.
a. Estimate the total amount of time Dena reads during the Read-A-Thon by rounding.

Answer:
Dena reads for 361 minutes during Week 1,for 212 minutes during Week 2
Round of to tens.
361 ≈  360
212 ≈ 210
360+210=570minutes
The estimated total amount of time Dena reads during the Read-A-Thon by rounding is 570minutes.

b. Estimate the total amount of time Dena reads during the Read-A-Thon by rounding in a different way.

Answer:
Dena reads for 361 minutes during Week 1,for 212 minutes during Week 2
Round of to hundreds.
361 ≈ 400
212  ≈ 200
400+200=600minutes
The estimated total amount of time Dena reads during the Read-A-Thon by rounding is 600 minutes.

c. Calculate the actual number of minutes that Dena reads during the Read-A-Thon. Which method of rounding was more precise? Why?

Answer:
Dena reads for 361 minutes during Week 1,for 212 minutes during Week 2
361+212=573

The actual number of minutes that Dena reads during the Read-A-Thon is 573 minutes.
Rounding to the nearest tens was more precise as it is just 3 minutes more than the actual answer.

Engage NY Eureka Math 3rd Grade Module 2 Lesson 16 Answer Key

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Engage NY Eureka Math 3rd Grade Module 2 Lesson 1 Answer Key

Eureka Math Grade 3 Module 2 Lesson 1 Problem Set Answer Key

Question 1.
Use a stopwatch. How long does it take you to snap your fingers 10 times?
It takes ___________ to snap 10 times.

Answer:
It takes 4 seconds  to snap 10 times

Question 2.
Use a stopwatch. How long does it take to write every whole number from 0 to 25?

It takes ___________________ to write every whole number from 0 to 25.

Answer:

It takes 30 seconds to write every whole number from 0 to 25

Question 3.
Use a stopwatch. How long does it take you to name 10 animals? Record them below.

It takes ___________________________ to name 10 animals.

Answer:

It takes 35 seconds to name 10 animals.

Question 4.
Use a stopwatch. How long does it take you to write 7 × 8 = 56 fifteen times? Record the time below.

It takes _______________________ to write 7 × 8 = 56 fifteen times.

Answer:

It takes 50 seconds to write 7 × 8 = 56 fifteen times

Question 5.
Work with your group. Use a stopwatch to measure the time for each of the following activities.

Answer:

Question 6.
100 meter relay: Use a stopwatch to measure and record your team’s times.

The table to the right shows how much time it takes each of the 5 students to do 15 jumping jacks.
a. Who finished 15 jumping jacks the fastest?

Answer:
Jake finished 15 jumping jacks the fastest in 14 seconds.

b. Who finished their jumping jacks in the exact same amount of time?

Answer:
Riley and Nicholas finished their jumping jacks in the same amount of time that is 15 seconds.

c. How many seconds faster did Jake finish than Adeline?

Answer:
Andeline finished in 17 seconds and Jake in 15 seconds.So, Jake finished 2 seconds faster than Adeline.

Eureka Math Grade 3 Module 2 Lesson 1 Homework Answer Key

Question 1.
The table to the right shows how much time it takes each of the 5 students to run 100 meters.
a. Who is the fastest runner?

Answer:
Dominique is the fastest runner(18 seconds of time).

b. Who is the slowest runner?

Answer:
Chester is the slowest runner(26 seconds of time).

c. How many seconds faster did Samantha run than Louie?

Answer:
Samantha ran in 19 seconds and Louie ran in 24 seconds.So, 24-19=5
Therefore, Samantha ran 5 seconds faster than Louie.

Question 2.
List activities at home that take about the following amounts of time to complete. If you do not have a stopwatch, you can use the strategy of counting by 1 Mississippi, 2 Mississippi, 3 Mississippi, ….
Time Activities at home

Question 3.
Match the analog clock with the correct digital clock.

Answer:

Engage NY Eureka Math Kindergarten Module 1 Lesson 28 Answer Key

Eureka Math Kindergarten Module 1 Lesson 28 Problem Set Answer Key

Listen to my stories. Color the pictures to show what is happening. Write how many in the box.

Bobby picked 4 red flowers. Then, he picked 2 purple flowers. How many flowers did Bobby pick?

Answer:

Janet went to the donut store. She bought 6 chocolate donuts and 3 strawberry donuts. How many donuts did she buy?

Answer:

Some children were sitting in a circle. 4 of them were wearing green shirts. The rest were wearing yellow shirts. How many children were in the circle?

Answer:

Jerry spilled his bag of marbles. Circle the group of grey marbles. Circle the group of black marbles. How many marbles were spilled?

Answer:

Make up a story about the bears. Color the bears to match the story. Tell your story to a friend.

Answer: There were brown bears in a forest they went to drink water from a river near by.they forget the path to go to the river when the bear 4 said to bear 5 that he hears the sound of water after which the bear 3 bear 2 and bear 1 follows the bear 5 along with bear 4 and they reach the river.Thers they play and relax and have lots fun.

Make up a new story. Draw a picture to go with your story. Tell your story to a friend.
Answer: Mom bought 5 apples. She gave 3 red apples to my elder brother .And gave me 2 green apples. we exchanged one each so now i have 1 red and one green apple .

Eureka Math Kindergarten Module 1 Lesson 28 Exit Ticket Answer Key

How many Write how many in the box.

Answer:

Draw 6 circles. Draw 4 triangles.
How many shapes did you draw? Write how many in the box.
Answer:

Eureka Math Kindergarten Module 1 Lesson 28 Homework Answer Key

Make up a story about 10 things in your house. Draw a picture to go with your story. Be ready to share your story at school tomorrow.
Answer: I was playing with my toys when i stamped on a toy train and fell to the gound and got hurt mom used a plaster to cover my wound and i took rest on my bed. In the eveng i was having fever when mom called doctor by taking the number from phone book later when doctor came he checked my temperature using thermometr and checked my weight using weight machine. Mom was worred and intensely looking what doctor was doing with her spectacles on her nose. Doctor examined me and said every thing is fine and gave me one candy and a lolipop.
d

Engage NY Eureka Math Kindergarten Module 2 Lesson 9 Answer Key

Eureka Math Kindergarten Module 2 Lesson 9 Problem Set Answer Key

Circle the pictures of the flat shapes with red. Circle the pictures of the solid shapes with green.

Answer:

Explanation:
The shapes circled red are fat shapes and green are solid shapes.

Eureka Math Kindergarten Module 2 Lesson 9 Homework Answer Key

In each row, circle the one that doesn’t belong. Explain your choice to a grown-up.

Answer:

Explanation:
In the first row there is 1 circle and 2 triangles.So, i circled circle.
In the second row there is 1 hexagon and 2 cylindes.So, i circled hexagon.
In the third row there are 2 circles and 1 semicircle.So, i circled the semicircle.
In the fourth row there is 1 solid shape and 2 flat shapes.So, circled solid shape.
In the last row there is a1 flat shape and 2 solid shapes.So, i circled flat shape.

Engage NY Eureka Math Kindergarten Module 2 Lesson 8 Answer Key

Eureka Math Kindergarten Module 2 Lesson 8 Problem Set Answer Key

Directions: Read to students.
Paste the sphere above the train.
Paste the cube behind the train.
Paste the cylinder in front of the train.
Paste the cone below the train.

Provide one strip for every student.
Answer:

Explanation:
In the above picture I drew the shapes circle above the train, cylinder infront of the train, cube behind the train and cone below the train.

Eureka Math Kindergarten Module 2 Lesson 8 Homework Answer Key

Tell someone at home the names of each solid shape.

Answer:
I told the names of the shapes to my mother.The first shape is a sphere, second is a cylinder, third is cone and fourth is a cube.

Color the car beside the stop sign green.
Circle the next car with blue.
Color the car behind the circled car red.
Draw a road below the cars.
Draw a policeman in front of the cars.
Draw a sun above the cars.
Answer:

Explanation:
In the above picture I colored the car beside the stop sign green, circled the next car with blue, colored the car behind the circled car red, drew a road below the cars, drew a policeman in front of the cars and drew a sun above the cars.

Engage NY Eureka Math Kindergarten Module 2 Lesson 7 Answer Key

Eureka Math Kindergarten Module 2 Lesson 7 Problem Set Answer Key

Circle the cylinders with red.
Circle the cubes with yellow.
Circle the cones with green.
Circle the spheres with blue.

Answer:

Explanation:
In the above picture I circled the cylinders with red, circle the cubes with yellow., circled the cones with green, and circled the spheres with blue.

Eureka Math Kindergarten Module 2 Lesson 7 Homework Answer Key

Cut one set of solid shapes. Sort the 4 solid shapes. Paste onto the chart

Answer:

Explanation:
A cube and a cone has corners and a shpere and a cylinder has no corners.

Cut the other set of solid shapes, and make a rule for how you sorted them. Paste onto the chart.

Answer:

Explanation:
A place where two lines, edges, surfaces meet is called as a corner.

Engage NY Eureka Math Kindergarten Module 2 Lesson 6 Answer Key

Eureka Math Kindergarten Module 2 Lesson 6 Problem Set Answer Key

Match these objects and solids by drawing a line with your ruler from the object to the solid.

Answer:

Explanation:
In the above question i matched the matched the solid shapes with the objects that matches with the shapes.

On the back of the paper, draw solid shapes that you see in the classroom.
Answer:

Explanation:
We see a blackboard, sharpeners and chalks in our classroom.

Eureka Math Kindergarten Module 2 Lesson 6 Homework Answer Key

Find things in your house or in a magazine that look like these solids. Draw the solids or cut out and paste pictures from a magazine.

Answer:

Explanation:
In our house we have wallclock in shape of circlr, stool in shape of cube, batteries in shape of cylinder and birthday cap in shape of a cone.

Engage NY Eureka Math Kindergarten Module 2 Lesson 5 Answer Key

Eureka Math Kindergarten Module 2 Lesson 5 Problem Set Answer Key

Cut out all of the shapes, and put them next to your paper with the duck.
Listen to the directions, and glue the objects onto your paper.


Answer:

Explanation:
I have cut out all of the shapes, and put them next to your paper with the duck.
Below the duck-I drew triangle and coloured it green.
Above the duck-I drew square, coloured it blue.
Behind the duck-I drew a yellow circle and red rectangle.
In front of the duck -I drew orange colour hexagon.

Eureka Math Kindergarten Module 2 Lesson 5 Homework Answer Key

• Behind the elephant, draw a shape with 4 straight sides that are exactly the same length. Color it blue.
• Above the elephant, draw a shape with no corners. Color it yellow.
• In front of the elephant, draw a shape with 3 straight sides. Color it green.
• Below the elephant, draw a shape with 4 sides, 2 long and 2 short. Color it red.

Below the elephant, draw a shape with 6 corners. Color it orange.

Answer:

Explanation:
A shape with 4 straight sides that are exactly the same length is a square,
A shape with no corners is a square,
A shape with 3 straight sides is a triangle,
A shape with 4 sides, 2 long and 2 short is a rectangle,
A shape with 6 corners is a hexagon.

On the back of your paper, draw 1 hexagon and 4 triangles. How many shapes did you draw? Put your answer in the circle.

Answer:

Explanation:
I drew 1 hexagon and 4 triangles
1+4=5
The total number of shapes i drew are 5.

Engage NY Eureka Math Kindergarten Module 2 Lesson 4 Answer Key

Eureka Math Kindergarten Module 2 Lesson 4 Problem Set Answer Key

Find the circles, and color them green. Find the hexagons, and color them yellow. Put an X on shapes that are not hexagons or circles.

Answer:

Explanation:
In the above picture i found the circles and coloured them green and found the hexagons and coloured then yellow.

Draw hexagons and circles.
Answer:

Explanation:
In the above picture I drew 2 hexagons and 2 circles.

Eureka Math Kindergarten Module 2 Lesson 4 Homework Answer Key

Color the triangles blue.
Color the rectangles red.
Color the circles green.
Color the hexagons yellow.

Answer:

Explanation:
In the above pictures, i found and coloured the triangles blue, the rectangles red, the circles green and the hexagons yellow.

On the back of your paper, draw 2 triangles and 1 hexagon.
How many shapes did you draw? ______
Answer:

Explanation:
I drew 2 triangles and 1 hexagon
2 tiangles and 1 hexagon
2+1=3
The number of shapes i drew are 3.

Engage NY Eureka Math Kindergarten Module 2 Lesson 3 Answer Key

Eureka Math Kindergarten Module 2 Lesson 3 Problem Set Answer Key

Find the rectangles, and color them red. Put an X on shapes that are not rectangles.

Answer:

Explanation:
In the above question i found and coloured the rectangles red and i put a X mark on the shapes that are not rectangles.

Draw some rectangles.
Answer:

Explanation:
In the above picture i drew some rectangles.

Eureka Math Kindergarten Module 2 Lesson 3 Homework Answer Key

Color all the rectangles red. Color all the triangles green.

Answer:

Explanation:
In the above picture i coloured the rectangles red and the triangles green.

On the back of your paper, draw 2 rectangles and 3 triangles.
Answer:

Explanation:
In the above picture i drew 2 rectangles and 3 triangles.

How many shapes did you draw? Put your answer in the circle.

Answer:

Explanation:
2 Rectangles and 3 Triangles
2+3=5

Engage NY Eureka Math Kindergarten Module 2 Lesson 2 Answer Key

Eureka Math Kindergarten Module 2 Lesson 2 Problem Set Answer Key

Find the triangles, and color them blue. Put an X on shapes that are not triangles.

Answer:

Explanation:
In the above picture i coloured the triangle shapes and i put a cross mark against the shapes that are not triangles.

Draw some triangles.
Answer:

Explanation:
In the above picture i drew some triangles.

Eureka Math Kindergarten Module 2 Lesson 2 Homework Answer Key

Color the triangles red and the other shapes blue.

Answer:

Explanation:
In the above picture i coloured the triangles red and the other shapes blue.

Draw 2 different triangles of your own.
Answer:

Explanation:
In the above picture i drew two different types of triangles.