## Engage NY Eureka Math 5th Grade Module 2 Lesson 7 Answer Key

### Eureka Math Grade 5 Module 2 Lesson 7 Sprint Answer Key

A
Multiply by Multiples of 10 and 100

2 x 10 = 20, 12 x 10 = 120, 12 x 100 = 1200, 4 x 10 = 40, 34 x 10 = 340, 34 x 100 = 3400, 7 x 10 = 70, 27 x 10 = 270, 27 x 100 = 2700, 3 x 10 = 30, 3 x 2 = 6, 3 x 20 = 60, 13 x 10 = 130, 13 x 2 = 26, 13 x 20 = 260, 13 x 100 = 1300, 13 x 200 = 2600, 2 x 4 = 8, 22 x 4 = 88, 22 x 40 = 880, 22 x 400 = 8800, 33 x 2 = 66.

Explanation:
In the above-given question,
given that,
multiply by multiples of 10 and 100.
2 x 10 = 20, 12 x 10 = 120, 12 x 100 = 1200, 4 x 10 = 40, 34 x 10 = 340, 34 x 100 = 3400, 7 x 10 = 70, 27 x 10 = 270, 27 x 100 = 2700, 3 x 10 = 30, 3 x 2 = 6, 3 x 20 = 60, 13 x 10 = 130, 13 x 2 = 26, 13 x 20 = 260, 13 x 100 = 1300, 13 x 200 = 2600, 2 x 4 = 8, 22 x 4 = 88, 22 x 40 = 880, 22 x 400 = 8800, 33 x 2 = 66.

33 x 20 = 660, 33 x 200 = 6600, 24 x 10 = 240, 24 x 20 = 480, 24 x 100 = 2400, 24 x 200 = 4800, 23 x 30 = 690, 23 x 300 = 6900, 71 x 2 = 142, 71 x 20 = 1420, 14 x 2 = 28, 14 x 3 = 42, 14 x 30 = 420, 14 x 300 = 4200, 82 x 20 = 1640, 15 x 300 = 4500, 71 x 600 = 42,600, 18 x 40 = 720, 75 x 30 = 2250, 84 x 300 = 25200, 87 x 60 = 5220, 79 x 800 = 63200.

Explanation:
In the above-given question,
given that,
multiply by multiples of 10 and 100.
33 x 20 = 660, 33 x 200 = 6600, 24 x 10 = 240, 24 x 20 = 480, 24 x 100 = 2400, 24 x 200 = 4800, 23 x 30 = 690, 23 x 300 = 6900, 71 x 2 = 142, 71 x 20 = 1420, 14 x 2 = 28, 14 x 3 = 42, 14 x 30 = 420, 14 x 300 = 4200, 82 x 20 = 1640, 15 x 300 = 4500, 71 x 600 = 42,600, 18 x 40 = 720, 75 x 30 = 2250, 84 x 300 = 25200, 87 x 60 = 5220, 79 x 800 = 63200.

Question 1.
2 × 10 = 20.

2 x 10 = 20.

Explanation:
In the above-given question,
given that,
2 x 10.
20.

Question 2.
12 × 10 = 120.

12 x 10 = 120.

Explanation:
In the above-given question,
given that,
12 x 10.
120.

Question 3.
12 × 100 = 1200.

12 x 100 = 1200.

Explanation:
In the above-given question,
given that,
12 x 100.
1200.

Question 4.
4 × 10 = 40.

4 x 10 = 40.

Explanation:
In the above-given question,
given that,
4 x 10.
40.

Question 5.
34 × 10 = 340

34 x 10 = 340.

Explanation:
In the above-given question,
given that,
34 x 10.
340.

Question 6.
34 × 100 = 3400

34 x 100 = 3400.

Explanation:
In the above-given question,
given that,
34 x 100.
3400.

Question 7.
7 × 10 = 70

7 x 10 = 70.

Explanation:
In the above-given question,
given that,
7 x 10.
70.

Question 8.
27 × 10 = 270

27 x 10 = 270.

Explanation:
In the above-given question,
given that,
27 x 10.
270.

Question 9.
27 × 100 = 2700

27 x 100 = 2700.

Explanation:
In the above-given question,
given that,
27 x 100.
2700.

Question 10.
3 × 10 = 30

3 x 10 = 30.

Explanation:
In the above-given question,
given that,
3 x 10.
30.

Question 11.
3 × 2 = 6

2 x 3 = 6.

Explanation:
In the above-given question,
given that,
2 x 3.
6.

Question 12.
3 × 20 = 60

20 x 3 = 60.

Explanation:
In the above-given question,
given that,
20 x 3.
60.

Question 13.
13 × 10 = 130

13 x 10 = 130.

Explanation:
In the above-given question,
given that,
13 x 10.
130.

Question 14.
13 × 2 = 26

2 x 13 = 26.

Explanation:
In the above-given question,
given that,
2 x 13.
26.

Question 15.
13 × 20 = 260

13 x 20 = 260.

Explanation:
In the above-given question,
given that,
13 x 20.
260.

Question 16.
13 × 100 = 1300

13 x 100 = 1300.

Explanation:
In the above-given question,
given that,
13 x 100.
1300.

Question 17.
13 × 200 = 2600

13 x 200 = 2600.

Explanation:
In the above-given question,
given that,
13 x 200.
2600.

Question 18.
2 × 4 = 8

2 x 4 = 8.

Explanation:
In the above-given question,
given that,
2 x 4.
8.

Question 19.
22 × 4 = 88.

22 x 4 = 88.

Explanation:
In the above-given question,
given that,
22 x 4.
88.

Question 20.
22 × 40 = 880

22 x 40 = 880.

Explanation:
In the above-given question,
given that,
22 x 40.
880.

Question 21.
22 × 400 = 8800

22 x 40 = 8800.

Explanation:
In the above-given question,
given that,
22 x 40.
8800.

Question 22.
33 × 2 = 66

2 x 33 = 66.

Explanation:
In the above-given question,
given that,
2 x 33.
66.

Question 23.
33 × 20 = 660.

33 x 20 = 660.

Explanation:
In the above-given question,
given that,
33 x 20.
660.

Question 24.
33 × 200 = 6600.

33 x 200 = 6600.

Explanation:
In the above-given question,
given that,
33 x 200.
6600.

Question 25.
24 × 10 = 240

24 x 10 = 240.

Explanation:
In the above-given question,
given that,
24 x 10.
240.

Question 26.
24 × 20 = 480

24 x 20 = 480.

Explanation:
In the above-given question,
given that,
24 x 20.
480.

Question 27.
24 × 100 = 2400

24 x 100 = 2400.

Explanation:
In the above-given question,
given that,
24 x 100.
2400.

Question 28.
24 × 200 = 4800

24 x 200 = 4800.

Explanation:
In the above-given question,
given that,
24 x 200.
4800.

Question 29.
23 × 30 = 690

23 x 30 = 690.

Explanation:
In the above-given question,
given that,
23 x 30.
690.

Question 30.
23 × 300 = 6900

23 x 300 = 6900.

Explanation:
In the above-given question,
given that,
23 x 300.
6900.

Question 31.
71 × 2 = 142.

2 x 71 = 142.

Explanation:
In the above-given question,
given that,
2 x 71.
142.

Question 32.
71 × 20 = 1420

20 x 71 = 1420.

Explanation:
In the above-given question,
given that,
20 x 71.
1420.

Question 33.
14 × 2= 28.

2 x 14 = 28.

Explanation:
In the above-given question,
given that,
2 x 14.
28.

Question 34.
14 × 3 = 42.

14 x 3 = 42.

Explanation:
In the above-given question,
given that,
14 x 3.
42.

Question 35.
14 × 30 = 420.

14 x 30 = 420.

Explanation:
In the above-given question,
given that,
14 x 30.
420.

Question 36.
14 × 300 = 4200

14 x 300 = 4200.

Explanation:
In the above-given question,
given that,
14 x 300.
4200.

Question 37.
82 × 20 = 1640

82 x 20 = 1640.

Explanation:
In the above-given question,
given that,
82 x 20.
1640.

Question 38.
15 × 300 = 4500

15 x 300 = 4500.

Explanation:
In the above-given question,
given that,
15 x 300.
4500.

Question 39.
71 × 600 = 42600.

71 x 600 = 42600.

Explanation:
In the above-given question,
given that,
71 x 600.
42600.

Question 40.
18 × 40 = 720

18 x 40 = 720.

Explanation:
In the above-given question,
given that,
18 x 40.
720.

Question 41.
75 × 30 = 2250

75 x 30 = 2250.

Explanation:
In the above-given question,
given that,
75 x 30.
2250.

Question 42.
84 × 300 = 25200

84 x 300 = 25200.

Explanation:
In the above-given question,
given that,
84 x 300.
25200.

Question 43.
87 × 60 = 5220

87 x 60 = 5220.

Explanation:
In the above-given question,
given that,
87 x 60.
5220.

Question 44.
79 × 800 = 63200

79 x 800 = 63200.

Explanation:
In the above-given question,
given that,
79 x 800.
63200.

B
Multiply by Multiples of 10 and 100

3 x 10 = 30, 13 x 10 = 130, 13 x 100 = 1300, 5 x 10 = 50, 35 x 10 = 350, 35 x 100 = 3500, 8 x 10 = 80, 28 x 10 = 280, 28 x 100 = 2800, 4 x 10 = 40, 4 x 2 = 8, 4 x 20 = 80, 14 x 10 = 140, 14 x 2 = 28, 14 x 20 = 280, 14 x 100 = 1400, 2 x 3 = 6, 22 x 3 = 66, 22 x 30 = 660, 22 x 300 = 6600, 44 x 2 = 88.

Explanation:
In the above-given question,
given that,
multiply by multiples of 10 and 100.
3 x 10 = 30, 13 x 10 = 130, 13 x 100 = 1300, 5 x 10 = 50, 35 x 10 = 350, 35 x 100 = 3500, 8 x 10 = 80, 28 x 10 = 280, 28 x 100 = 2800, 4 x 10 = 40, 4 x 2 = 8, 4 x 20 = 80, 14 x 10 = 140, 14 x 2 = 28, 14 x 20 = 280, 14 x 100 = 1400, 2 x 3 = 6, 22 x 3 = 66, 22 x 30 = 660, 22 x 300 = 6600, 44 x 2 = 88.

44 x 20 = 800, 44 x 200 = 8000, 42 x 10 = 420, 42 x 20 = 840, 42 x 100 = 4200, 42 x 200 = 8400, 32 x 30 = 960,  32 x 300 = 9600, 81 x 2 = 162, 81 x 20 = 1620, 13 x 3 = 39, 13 x 4 = 52, 13 x 40 = 520, 13 x 400 = 5200, 72 x 30 = 2160, 15 x 300 = 4500, 81 x 600 = 48600, 16 x 40 = 640, 65 x 30 = 1950, 48 x 300 = 14400, 89 x 60 = 5340, 76 x 800 = 60,800.

Explanation:
In the above-given question,
given that,
multiply by multiples of 10 and 100.
44 x 20 = 800, 44 x 200 = 8000, 42 x 10 = 420, 42 x 20 = 840, 42 x 100 = 4200, 42 x 200 = 8400, 32 x 30 = 960,  32 x 300 = 9600, 81 x 2 = 162, 81 x 20 = 1620, 13 x 3 = 39, 13 x 4 = 52, 13 x 40 = 520, 13 x 400 = 5200, 72 x 30 = 2160, 15 x 300 = 4500, 81 x 600 = 48600, 16 x 40 = 640, 65 x 30 = 1950, 48 x 300 = 14400, 89 x 60 = 5340, 76 x 800 = 60,800.

Question 1.
3 × 10 = 30

3 x 10 = 30.

Explanation:
In the above-given question,
given that,
3 x 10.
30.

Question 2.
13 × 10 = 130.

13 x 10 = 130.

Explanation:
In the above-given question,
given that,
13 x 10.
130.

Question 3.
13 × 100 = 1300

13 x 10 = 1300.

Explanation:
In the above-given question,
given that,
13 x 10.
1300.

Question 4.
5 × 10 = 50

5 x 10 = 50.

Explanation:
In the above-given question,
given that,
5 x 10.
50.

Question 5.
35 × 10 = 350

35 x 10 = 350.

Explanation:
In the above-given question,
given that,
35 x 10.
350.

Question 6.
35 × 100 = 3500

35 x 100 = 3500.

Explanation:
In the above-given question,
given that,
35 x 100.
3500.

Question 7.
8 × 10 = 80.

8 x 10 = 80.

Explanation:
In the above-given question,
given that,
8 x 10.
80.

Question 8.
28 × 10 = 280

28 x 10 = 280.

Explanation:
In the above-given question,
given that,
28 x 10.
280.

Question 9.
28 × 100 = 2800

28 x 100 = 2800.

Explanation:
In the above-given question,
given that,
28 x 100.
2800.

Question 10.
4 × 10 = 40

4 x 10 = 40.

Explanation:
In the above-given question,
given that,
4 x 10.
40.

Question 11.
4 × 2 = 8

4 x 2 = 8.

Explanation:
In the above-given question,
given that,
4 x 2.
8.

Question 12.
4 × 20 = 80.

4 x 20 = 80.

Explanation:
In the above-given question,
given that,
4 x 20.
80.

Question 13.
14 × 10 = 140.

14 x 10 = 140.

Explanation:
In the above-given question,
given that,
14 x 10.
140.

Question 14.
14 × 2 = 28

14 x 2 = 28.

Explanation:
In the above-given question,
given that,
14 x 2.
28.

Question 15.
14 × 20 = 280

14 x 20 = 280.

Explanation:
In the above-given question,
given that,
14 x 20.
280.

Question 16.
14 × 100 = 1400

14 x 100 = 1400.

Explanation:
In the above-given question,
given that,
14 x 100.
1400.

Question 17.
14 × 200 = 2800

14 x 200 = 2800.

Explanation:
In the above-given question,
given that,
14 x 200.
2800.

Question 18.
2 × 3 = 6

3 x 2 = 6.

Explanation:
In the above-given question,
given that,
3 x 2.
6.

Question 19.
22 × 3 = 66.

3 x 22 = 66.

Explanation:
In the above-given question,
given that,
3 x 22.
66.

Question 20.
22 × 30 = 660

22 x 30 = 660.

Explanation:
In the above-given question,
given that,
22 x 30.
660.

Question 21.
22 × 300 = 6600

22 x 300 = 6600.

Explanation:
In the above-given question,
given that,
22 x 300.
6600.

Question 22.
44 × 2 = 88

42 x 2 = 88.

Explanation:
In the above-given question,
given that,
42 x 2.
88.

Question 23.
44 × 20 = 880

44 x 20 = 880.

Explanation:
In the above-given question,
given that,
44 x 20.
880.

Question 24.
44 × 200 = 8800

44 x 200 = 8800.

Explanation:
In the above-given question,
given that,
44 x 200.
8800.

Question 25.
42 × 10 = 420

42 x 10 = 420.

Explanation:
In the above-given question,
given that,
42 x 10.
420.

Question 26.
42 × 20 = 840

42 x 20 = 840.

Explanation:
In the above-given question,
given that,
42 x 20.
840.

Question 27.
42 × 100 = 4200

42 x 100 = 4200.

Explanation:
In the above-given question,
given that,
42 x 100.
4200.

Question 28.
42 × 200 = 8400

42 x 200 = 8400.

Explanation:
In the above-given question,
given that,
42 x 200.
8400.

Question 29.
32 × 30 = 960.

32 x 30 = 960.

Explanation:
In the above-given question,
given that,
32 x 30.
9600.

Question 30.
32 × 300 = 9600

32 x 300 = 9600.

Explanation:
In the above-given question,
given that,
32 x 300.
9600.

Question 31.
81 × 2 = 162.

81 x 2 = 162.

Explanation:
In the above-given question,
given that,
81 x 2.
162.

Question 32.
81 × 20 = 1620.

81 x 20 = 1620.

Explanation:
In the above-given question,
given that,
81 x 20.
1620.

Question 33.
13 × 3 = 39

3 x 13 = 39.

Explanation:
In the above-given question,
given that,
3 x 13.
39.

Question 34.
13 × 4 = 52

13 x 4 = 52.

Explanation:
In the above-given question,
given that,
13 x 4.
52.

Question 35.
13 × 40 = 520

13 x 40 = 520.

Explanation:
In the above-given question,
given that,
13 x 40.
520.

Question 36.
13 × 400 = 5200

13 x 400 = 5200.

Explanation:
In the above-given question,
given that,
13 x 400.
5200.

Question 37.
72 × 30 = 2160.

72 x 30 = 2160.

Explanation:
In the above-given question,
given that,
72 x 30.
2160.

Question 38.
15 × 300 = 4500

15 x 300 = 4500.

Explanation:
In the above-given question,
given that,
15 x 300.
4500.

Question 39.
81 × 600 = 48600.

81 x 600 = 48600.

Explanation:
In the above-given question,
given that,
81 x 600.
48600.

Question 40.
16 × 40 = 640

16 x 40 = 640.

Explanation:
In the above-given question,
given that,
16 x 40.
640.

Question 41.
65 × 30 = 1950.

65 x 30 = 1950.

Explanation:
In the above-given question,
given that,
65 x 30.
1950.

Question 42.
48 × 300 = 14400

48 x 300 = 14400.

Explanation:
In the above-given question,
given that,
48 x 300.
14400.

Question 43.
89 × 60 = 5340

89 x 60 = 5340.

Explanation:
In the above-given question,
given that,
89 x 60.
5340.

Question 44.
76 × 800 = 60800

76 x 800 = 60800.

Explanation:
In the above-given question,
given that,
76 x 800.
60800.

### Eureka Math Grade 5 Module 2 Lesson 7 Problem Set Answer Key

Question 1.
Draw an area model. Then, solve using the standard algorithm. Use arrows to match the partial products from the area model to the partial products in the algorithm.
a. 481 × 352

481 x 352 = 169312.

Explanation:
In the above-given question,
given that,
481 x 352.
169312.

b. 481 × 302

481 x 302 = 145262.

Explanation:
In the above-given question,
given that,
481 x 302.
145262.

c. Why are there three partial products in 1(a) and only two partial products in 1(b)?

Question 2.
Solve by drawing the area model and using the standard algorithm.
a. 8,401 × 305

8401 x 305 = 25,62,305.

Explanation:
In the above-given question,
given that,
8401 x 305.
25,62,305.

b. 7,481 × 350

7481 x 350 = 26,18,350.

Explanation:
In the above-given question,
given that,
7481 x 350.
2618350.

Question 3.
Solve using the standard algorithm.
a. 346 × 27

346 x 27 = 9342.

Explanation:
In the above-given question,
given that,
346 x 27.
9342.

b. 1,346 × 297

1346 x 297 = 399762.

Explanation:
In the above-given question,
given that,
1346 x 297.
399762.

c. 346 × 207

346 x 207 = 71622.

Explanation:
In the above-given question,
given that,
346 x 207.
71622.

d. 1,346 × 207

1346 x 207 = 278622.

Explanation:
In the above-given question,
given that,
1346 x 207.
278622.

Question 4.
A school district purchased 615 new laptops for their mobile labs. Each computer cost $409. What is the total cost for all of the laptops? Answer: The total cost for all of the laptops = 251535. Explanation: In the above-given question, given that, A school didtrict purchased 615 new laptops for their mobile labs. Each computer cost$409.
The total cost for all the laptops = 615 x 409.
251535.

Question 5.
A publisher prints 1,512 copies of a book in each print run. If they print 305 runs, how many books will be printed?

The books will be printed =  461160.

Explanation:
In the above-given question,
given that,
A publisher prints 1,512 copies of a book in each print run.
If they print 305 runs.
1512 x 305 = 461160.

Question 6.
As of the 2010 census, there were 3,669 people living in Marlboro, New York. Brooklyn, New York, has 681 times as many people. How many more people live in Brooklyn than in Marlboro?

The more people live in Brooklyn than in Marlboro = 24, 98, 589.

Explanation:
In the above-given question,
given that,
As of the 2010 census, there were 3669 people living in Marlboro, New York.
Brooklyn, New York, has 681 times as many people.
3669 x 681 = 24,98,589.

### Eureka Math Grade 5 Module 2 Lesson 7 Exit Ticket Answer Key

Draw an area model. Then, solve using the standard algorithm.
a. 642 × 257

642 x 257 = 158574.

Explanation:
In the above-given question,
given that,
642 x 257.
158574.

b. 642 × 207

642 x 207 = 132894.

Explanation:
In the above-given question,
given that,
642 x 207.
132894.

### Eureka Math Grade 5 Module 2 Lesson 7 Homework Answer Key

Question 1.
Draw an area model. Then, solve using the standard algorithm. Use arrows to match the partial products from your area model to the partial products in your algorithm.
a. 273 × 346

273 x 346 = 94458.

Explanation:
In the above-given question,
given that,
273 x 346.
94458.

b. 273 × 306

273 x 306 = 83538.

Explanation:
In the above-given question,
given that,
273 x 306.
83538.

c. Both Parts (a) and (b) have three-digit multipliers. Why are there three partial products in Part (a) and only two partial products in Part (b)?

Question 2.
Solve by drawing the area model and using the standard algorithm.
a. 7,481 × 290

7481 x 290 = 2169490.

Explanation:
In the above-given question,
given that,
7481 x 290.
2169490.

b. 7,018 × 209

7018 x 209 = 14,66,762.

Explanation:
In the above-given question,
given that,
7018 x 209.
14,66,762.

Question 3.
Solve using the standard algorithm.
a. 426 × 357

426 x 375 = 159750.

Explanation:
In the above-given question,
given that,
426 x 375.
159750.

b. 1,426 × 357

1426 x 357 = 509082.

Explanation:
In the above-given question,
given that,
1426 x 357.
509082.

c. 426 × 307

426 x 307 = 130782.

Explanation:
In the above-given question,
given that,
426 x 307.
130782.

d. 1,426 × 307

1426 x 307 = 437782.

Explanation:
In the above-given question,
given that,
1426 x 307.
437782.

Question 4.
The Hudson Valley Renegades Stadium holds a maximum of 4,505 people. During the height of their popularity, they sold out 219 consecutive games. How many tickets were sold during this time?

The tickets were sold during this time = 9,86, 595.

Explanation:
In the above-given question,
given that,
One Saturday at the farmer’s market, each of the 94 vendors made $502 in profit. How much profit did all vendors make that Saturday? Answer: The profit did all vendors make that saturday =$47188.
One Saturday at the farmer’s market, each of the 94 vendors made $502 in profit. 94 x$502 = 47188.