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

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

A
Multiply by 10, 100, and 1,000

9 x 10 = 90, 9 x 100 = 900, 9 x 1000 = 9000, 8 x 10 = 80, 8 x 100 = 800, 8 x 1000 = 8000, 7 x 10 = 70, 70 x 10 = 700, 700 x 10 = 7000, 700 x 100 = 70000, 700 x 1000 = 700000, 2 x 10 = 20, 30 x 10 = 300, 32 x 10 = 320, 4 x 10 = 40, 50 x 10 = 500, 54 x 10 = 540, 37 x 10 = 370, 84 x 10 = 840, 84 x 100 = 8400, 84 x 1000 = 84000.

Explanation:
In the above-given question,
given that,
multiply by 10, 100, and 1000.
9 x 10 = 90, 9 x 100 = 900, 9 x 1000 = 9000, 8 x 10 = 80, 8 x 100 = 800, 8 x 1000 = 8000, 7 x 10 = 70, 70 x 10 = 700, 700 x 10 = 7000, 700 x 100 = 70000, 700 x 1000 = 700000, 2 x 10 = 20, 30 x 10 = 300, 32 x 10 = 320, 4 x 10 = 40, 50 x 10 = 500, 54 x 10 = 540, 37 x 10 = 370, 84 x 10 = 840, 84 x 100 = 8400, 84 x 1000 = 84000.

73 x 1000 = 73000, 60 x 10 = 600, 600 x 10 = 6000, 600 x 100 = 60000, 65 x 100 = 6500, 652 x 100 = 65200, 342 x 100 = 34200, 800 x 100 = 80000, 860 x 1000 = 860000, 867 x 1000 = 867000, 492 x 1000 = 492000, 34 x 10 = 340, 629 x 10 = 6290, 94 x 100 = 9400, 238 x 100 = 23800, 47 x 1000 = 47000, 294 x 1000 = 294000, 174 x 100 = 17400, 285 x 1000 = 285000, 951 x 100 = 95100, 129 x 1000 = 129000.

Explanation:
In the above-given question,
given that,
multiply by 10, 100, and 1000.
73 x 1000 = 73000, 60 x 10 = 600, 600 x 10 = 6000, 600 x 100 = 60000, 65 x 100 = 6500, 652 x 100 = 65200, 342 x 100 = 34200, 800 x 100 = 80000, 860 x 1000 = 860000, 867 x 1000 = 867000, 492 x 1000 = 492000, 34 x 10 = 340, 629 x 10 = 6290, 94 x 100 = 9400, 238 x 100 = 23800, 47 x 1000 = 47000, 294 x 1000 = 294000, 174 x 100 = 17400, 285 x 1000 = 285000, 951 x 100 = 95100, 129 x 1000 = 129000.

Question 1.
9 × 10 = 90.

9 x 10 = 90.

Explanation:
In the above-given question,
given that,
multiply by 10.
9 x 10 = 90.

Question 2.
9 × 100 = 900.

9 x 100 = 900.

Explanation:
In the above-given question,
given that,
multiply by 100.
9 x 100 = 900.

Question 3.
9 × 1,000 = 9000

9 x 1000 = 9000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
9 x 1000 = 9000.

Question 4.
8 × 10 = 80

8 x 10 = 80.

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

Question 5.
80 × 10 = 800

80 x 10 = 800.

Explanation:
In the above-given question,
given that,
multiply by 10.
80 x 10 = 800.

Question 6.
80 × 100 = 8000.

80 x 100 = 8000.

Explanation:
In the above-given question,
given that,
multiply by 100.
80 x 100 = 8000.

Question 7.
80 × 1,000 = 80000.

80 x 1000 = 80000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
80 x 1000 = 80000.

Question 8.
7 × 10 = 70

7 x 10 = 70.

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

Question 9.
70 × 10 = 700

70 x 10 = 700.

Explanation:
In the above-given question,
given that,
multiply by 10.
70 x 10 = 700.

Question 10.
700 × 10 = 7000

700 x 10 = 7000.

Explanation:
In the above-given question,
given that,
multiply by 10.
700 x 10 = 7000.

Question 11.
700 × 100 = 70000

700 x 100 = 70000.

Explanation:
In the above-given question,
given that,
multiply by 100.
700 x 100 = 70000.

Question 12.
700 × 1,000 = 700000

700 x 1000 = 700000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
700 x 1000 = 70000.

Question 13.
2 × 10 = 20

2 x 10 = 20.

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

Question 14.
30 × 10 = 300

30 x 10 = 300.

Explanation:
In the above-given question,
given that,
multiply by 10.
30 x 10 = 300.

Question 15.
32 × 10 = 320

32 x 10 = 320.

Explanation:
In the above-given question,
given that,
multiply by 10.
32 x 10 = 320.

Question 16.
4 × 10 = 40

4 x 10 = 40.

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

Question 17.
50 × 10 = 500

50 x 10 = 500.

Explanation:
In the above-given question,
given that,
multiply by 10.
50 x 10 = 500.

Question 18.
54 × 10 = 540

54 x 10 = 540.

Explanation:
In the above-given question,
given that,
multiply by 10.
54 x 10 = 540.

Question 19.
37 × 10 = 370

37 x 10 = 370.

Explanation:
In the above-given question,
given that,
multiply by 10.
37 x 10 = 370.

Question 20.
84 × 10 = 840

84 x 10 = 840.

Explanation:
In the above-given question,
given that,
multiply by 10.
84 x 10 = 840.

Question 21.
84 × 100 = 8400

84 x 100 = 8400.

Explanation:
In the above-given question,
given that,
multiply by 100.
84 x 100 = 8400.

Question 22.
84 × 1,000 = 84000

84 x 1000 = 840000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
84 x 1000 = 840000.

Question 23.
73 × 1,000 = 73000

73 x 1000 = 73000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
73 x 1000 = 73000.

Question 24.
60 × 10 = 600

60 x 10 = 600.

Explanation:
In the above-given question,
given that,
multiply by 10.
60 x 10 = 600.

Question 25.
600 × 10 = 6000

600 x 10 = 6000.

Explanation:
In the above-given question,
given that,
multiply by 10.
600 x 10 = 6000.

Question 26.
600 × 100 = 6000

600 x 100 = 6000.

Explanation:
In the above-given question,
given that,
multiply by 100.
600 x 100 = 6000.

Question 27.
65 × 100 = 6500

65 x 100 = 6500.

Explanation:
In the above-given question,
given that,
multiply by 100.
65 x 100 = 6500.

Question 28.
652 × 100 = 65200

652 x 100 = 65200.

Explanation:
In the above-given question,
given that,
multiply by 100.
652 x 100 = 65200.

Question 29.
342 × 100 = 34200

342 x 100 = 34200.

Explanation:
In the above-given question,
given that,
multiply by 100.
342 x 100 = 34200.

Question 30.
800 × 100 = 80000

800 x 100 = 8000.

Explanation:
In the above-given question,
given that,
multiply by 100.
800 x 100 = 8000.

Question 31.
800 × 1,000 = 800000

800 x 1000 = 800000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
800 x 1000 = 800000.

Question 32.
860 × 1,000 = 860000

860 x 1000 = 860000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
860 x 1000 = 860000.

Question 33.
867 × 1,000 = 867000

867 x 1000 = 867000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
867 x 1000 = 867000.

Question 34.
492 × 1,000 = 492000

492 x 1000 = 492000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
492 x 1000 = 492000.

Question 35.
34 × 10 = 340

34 x 10 = 340.

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

Question 36.
629 × 10 = 6290

629 x 10 = 6290.

Explanation:
In the above-given question,
given that,
multiply by 10.
629 x 10 = 6290.

Question 37.
94 × 100 = 9400

94 x 100 = 9400.

Explanation:
In the above-given question,
given that,
multiply by 100.
94 x 100 = 9400.

Question 38.
238 × 100 = 23800

238 x 100 = 23800.

Explanation:
In the above-given question,
given that,
multiply by 100.
238 x 100 = 23800.

Question 39.
47 × 1,000 = 47000

47 x 1000 = 47000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
47 x 1000 = 47000.

Question 40.
294 × 1,000 = 294000

294 x 1000 = 294000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
294 x 1000 = 29400.

Question 41.
174 × 100 = 17400

174 x 100 = 17400.

Explanation:
In the above-given question,
given that,
multiply by 100.
174 x 100 = 17400.

Question 42.
285 × 1,000 = 285000

285 x 1000 = 285000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
285 x 1000 = 285000.

Question 43.
951 × 100 = 95100

951 x 100 = 95100.

Explanation:
In the above-given question,
given that,
multiply by 100.
951 x 100 = 95100.

Question 44.
129 × 1,000 = 129000

129 x 1000 = 129000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
129 x 1000 = 129000.

B
Multiply by 10, 100, and 1,000

8 x 10 = 80, 8 x 100 = 800, 8 x 1000 = 8000, 7 x 10 = 70, 70 x 10 = 700, 70 x 1000 = 70000, 6 x 10 = 60, 60 x 10 = 600, 600 x 10 = 6000, 600 x 1000 = 60000, 3 x 10 = 30, 20 x 10 = 200, 23 x 10 = 230, 5 x 10 = 50, 40 x 10 = 40, 45 x 10 = 450, 73 x 10 = 730, 48 x 10 = 480, 48 x 100 = 4800, 48 x 1000 = 48000.

Explanation:
In the above-given question,
given that,
multiply by 10, 100, and 1000.
8 x 10 = 80, 8 x 100 = 800, 8 x 1000 = 8000, 7 x 10 = 70, 70 x 10 = 700, 70 x 1000 = 70000, 6 x 10 = 60, 60 x 10 = 600, 600 x 10 = 6000, 600 x 1000 = 60000, 3 x 10 = 30, 20 x 10 = 200, 23 x 10 = 230, 5 x 10 = 50, 40 x 10 = 40, 45 x 10 = 450, 73 x 10 = 730, 48 x 10 = 480, 48 x 100 = 4800, 48 x 1000 = 48000.

37 x 1000 = 37000, 50 x 10 = 500, 500 x 10 = 5000, 500 x 100 = 50000, 56 x 100 = 5600, 562 x 100 = 56200, 432 x 100 = 43200, 700 x 100 = 70000,  700 x 1000 = 700000, 760 x 1000 = 760000, 765 x 1000 = 765000, 942 x 1000 = 942000, 74 x 10 = 740, 269 x 10 = 2690, 49 x 100 = 4900, 328 x 100 = 32800, 37 x 1000 = 37000, 924 x 1000 = 924000, 147 x 100 = 14700, 825 x 1000 = 825000, 651 x 100 = 65100, 192 x 1000 = 192000.

Explanation:
In the above-given question,
given that,
multiply by 10, 100, and 1000.
37 x 1000 = 37000, 50 x 10 = 500, 500 x 10 = 5000, 500 x 100 = 50000, 56 x 100 = 5600, 562 x 100 = 56200, 432 x 100 = 43200, 700 x 100 = 70000,  700 x 1000 = 700000, 760 x 1000 = 760000, 765 x 1000 = 765000, 942 x 1000 = 942000, 74 x 10 = 740, 269 x 10 = 2690, 49 x 100 = 4900, 328 x 100 = 32800, 37 x 1000 = 37000, 924 x 1000 = 924000, 147 x 100 = 14700, 825 x 1000 = 825000, 651 x 100 = 65100, 192 x 1000 = 192000.

Question 1.
8 × 10 = 80.

34 x 10 = 340.

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

Question 2.
8 × 100 = 800.

8 x 100 = 800.

Explanation:
In the above-given question,
given that,
multiply by 100.
8 x 100 = 800.

Question 3.
8 × 1,000 = 8000

8 x 1000 = 8000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
8 x 1000 = 8000.

Question 4.
7 × 10 = 70.

7 x 10 = 70.

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

Question 5.
70 × 10 = 700

70 x 10 = 700.

Explanation:
In the above-given question,
given that,
multiply by 10.
70 x 10 = 700.

Question 6.
70 × 100 = 7000

70 x 100 = 7000.

Explanation:
In the above-given question,
given that,
multiply by 100.
70 x 100 = 7000.

Question 7.
70 × 1,000 = 70000

70 x 1000 = 70000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
70 x 1000 = 70000.

Question 8.
6 × 10 = 60

6 x 10 = 60.

Explanation:
In the above-given question,
given that,
multiply by 10.
6 x 10 = 60.

Question 9.
60 × 10 = 600

60 x 10 = 600.

Explanation:
In the above-given question,
given that,
multiply by 10.
60 x 10 = 600.

Question 10.
600 × 10 = 6000

600 x 10 = 6000.

Explanation:
In the above-given question,
given that,
multiply by 10.
600 x 10 = 6000.

Question 11.
600 × 100 = 60000

600 x 100 = 60000.

Explanation:
In the above-given question,
given that,
multiply by 100.
600 x 100 = 60000.

Question 12.
600 × 1,000 = 60000

600 x 1000 = 60000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
600 x 1000 = 60000.

Question 13.
3 × 10 = 30

3 x 10 = 30.

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

Question 14.
20 × 10 = 200

20 x 10 = 200.

Explanation:
In the above-given question,
given that,
multiply by 10.
20 x 10 = 200.

Question 15.
23 × 10 = 230

23 x 10 = 230.

Explanation:
In the above-given question,
given that,
multiply by 10.
23 x 10 = 230.

Question 16.
5 × 10 = 50

5 x 10 = 50.

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

Question 17.
40 × 10 = 400

40 x 10 = 400.

Explanation:
In the above-given question,
given that,
multiply by 10.
40 x 10 = 400.

Question 18.
45 × 10 = 450

45 x 10 = 450.

Explanation:
In the above-given question,
given that,
multiply by 10.
45 x 10 = 450.

Question 19.
73 × 10 = 730

73 x 10 = 730.

Explanation:
In the above-given question,
given that,
multiply by 10.
73 x 10 = 730.

Question 20.
48 × 10 = 480

48 x 10 = 480.

Explanation:
In the above-given question,
given that,
multiply by 10.
48 x 10 = 480.

Question 21.
48 × 100 = 4800

48 x 100 = 4800.

Explanation:
In the above-given question,
given that,
multiply by 100.
48 x 100 = 4800.

Question 22.
48 × 1,000 = 48000

48 x 1000 = 48000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
48 x 1000 = 48000.

Question 23.
37 × 1,000 = 37000

37 x 1000 = 37000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
37 x 1000 = 37000.

Question 24.
50 × 10 = 500

50 x 10 = 500.

Explanation:
In the above-given question,
given that,
multiply by 10.
50 x 10 = 500.

Question 25.
500 × 10 = 5000

500 x 10 = 5000.

Explanation:
In the above-given question,
given that,
multiply by 10.
500 x 10 = 5000.

Question 26.
500 × 100 = 50000

500 x 100 = 50000.

Explanation:
In the above-given question,
given that,
multiply by 100.
500 x 100 = 50000.

Question 27.
56 × 100 = 5600

56 x 100 = 5600.

Explanation:
In the above-given question,
given that,
multiply by 100.
56 x 100 = 5600.

Question 28.
562 × 100 = 56200

562 x 100 = 56200.

Explanation:
In the above-given question,
given that,
multiply by 100.
562 x 100 = 56200.

Question 29.
432 × 100 = 43200

432 x 100 = 43200.

Explanation:
In the above-given question,
given that,
multiply by 100.
432 x 100 = 43200.

Question 30.
700 × 100 = 70000.

700 x 100 = 70000.

Explanation:
In the above-given question,
given that,
multiply by 100.
700 x 100 = 70000.

Question 31.
700 × 1,000 = 700000.

700 x 1000 = 700000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
700 x 1000 = 700000.

Question 32.
760 × 1,000 = 760000

760 x 1000 = 760000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
760 x 1000 = 760000.

Question 33.
765 × 1,000 = 765000.

34 x 10 = 340.

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

Question 34.
942 × 1,000 = 942000.

942 x 1000 = 942000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
942 x 1000 = 942000.

Question 35.
74 × 10 =  740.

74 x 10 = 740.

Explanation:
In the above-given question,
given that,
multiply by 10.
74 x 10 = 740.

Question 36.
269 × 10 = 2690.

269 x 10 = 2690.

Explanation:
In the above-given question,
given that,
multiply by 10.
269 x 10 = 2690.

Question 37.
49 × 100 = 4900

49 x 100 = 4900.

Explanation:
In the above-given question,
given that,
multiply by 100.
49 x 100 = 4900.

Question 38.
328 × 100 = 32800.

328 x 100 = 32800.

Explanation:
In the above-given question,
given that,
multiply by 100.
328 x 100 = 32800.

Question 39.
37 × 1,000 = 37000.

37 x 1000 = 37000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
37 x 1000 = 37000.

Question 40.
924 × 1,000 = 924000

924 x 1000 = 924000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
924 x 1000 = 924000.

Question 41.
147 × 100 = 14700

147 x 100 = 14700.

Explanation:
In the above-given question,
given that,
multiply by 100.
147 x 100 = 14700.

Question 42.
825 × 1,000 = 825000

825 x 1000 = 825000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
825 x 1000 = 825000.

Question 43.
651 × 100 = 65100.

651 x 100 = 65100.

Explanation:
In the above-given question,
given that,
multiply by 100.
651 x 100 = 65100.

Question 44.
192 × 1,000 = 192000.

192 x 1000 = 192000.

Explanation:
In the above-given question,
given that,
multiply by 1000.
192 x 1000 = 192000.

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

Question 1.
Round the factors to estimate the products.
a. 597 × 52 ≈ _________597________ × ____52_____________ = _____31,044____________
A reasonable estimate for 597 × 52 is ____31,044_____________.

597 x 52 = 31044.

Explanation:
In the above-given question,
given that,
multiply by 52.
597 x 52 = 31044.

b. 1,103 × 59 ≈ _____1103____________ × ______59___________ = ____65077_____________
A reasonable estimate for 1,103 × 59 is ______65077___________.

1103 x 59 = 65077.

Explanation:
In the above-given question,
given that,
multiply by 59.
1103 x 59 = 65077.

c. 5,840 × 25 ≈ _____5840____________ × _____25____________ = _________________
A reasonable estimate for 5,840 × 25 is _____146000____________.

5840 x 25 = 146000.

Explanation:
In the above-given question,
given that,
multiply by 25.
5840 x 25 = 146000.

Question 2.
Complete the table using your understanding of place value and knowledge of rounding to estimate the product.
Expressions

 Expressions a.       2,809 × 42 b.      28,090 × 420 c.       8,932 × 59 d.      89 tens × 63 tens e.      398 hundreds × 52 tens Rounded Factors 3,000 × 40 Estimate 120,000

2809 x 42 = 1,20,000.

Explanation:
In the above-given question,
given that,
the rounded  factors are
3000 x 40.
3000 x 40 = 120,000.

28090 x 420 = 1,17,97,800.

Explanation:
In the above-given question,
given that,
the rounded factors are
30000 x 400 = 1,17,97,800.

Question 3.
For which of the following expressions would 200,000 be a reasonable estimate? Explain how you know.

2146 x 12 = 25,752.

Explanation:
In the above-given question,
given that,
the rounded factors are
200000 x  = 1,17,97,800.
2146 x 12 = 25752.

Question 4.
Fill in the missing factors to find the given estimated product.
a. 571 × 43 ≈ _570_ × _42__ = 24,000

b. 726 × 674 ≈ __ × ___ = 490,000

c. 8,379 × 541 ≈ __ × __ = 4,000,000

Question 5.
There are 19,763 tickets available for a New York Knicks home game. If there are 41 home games in a season, about how many tickets are available for all the Knicks’ home games?

Question 6.
Michael saves $423 dollars a month for college. a. About how much money will he have saved after 4 years? Answer: The money will he saved after 4 years =$20,304.

Explanation:
In the above-given question,
given that,
There are 19,763 tickets available for a new york knicks home game.
If there are 41 home games in a season.
4 years = 4 x 12.