## Engage NY Eureka Math 5th Grade Module 1 Lesson 1 Answer Key

### Eureka Math Grade 5 Module 1 Lesson 1 Sprint Answer Key

A
Multiply by 10    Question 1.
12 × 10 =

12 x 10 = 120
Explanation:-
By multiplying 12 x 10 we will get the result as 120.

Question 2.
14 × 10 =

14 x 10 = 120
Explanation:-
By multiplying 14 x 10 we will get the result as 140.

Question 3.
15 × 10 =

15 x 10 = 150
Explanation:-
By multiplying 15 x 10 we will get the result as 150.

Question 4.
17 × 10 =

17 x 10 = 170
Explanation:-
By multiplying 17 x 10 we will get the result as 170.

Question 5.
81 × 10 =

81 x 10 = 810
Explanation:-
By multiplying 81 x 10 we will get the result as 810.

Question 6.
10 × 81 =

10 x 81 = 810
Explanation:-
By multiplying 10 x 81 we will get the result as 810.

Question 7.
21 × 10 =

21 x 10 = 210
Explanation:-
By multiplying 21 x 10 we will get the result as 210.

Question 8.
22 × 10 =

22 x 10 = 220
Explanation:-
By multiplying 22 x 10 we will get the result as 220.

Question 9.
23 × 10 =

23 x 10 = 230
Explanation:-
By multiplying 23 x 10 we will get the result as 230.

Question 10.
29 × 10 =

29 x 10 = 290
Explanation:-
By multiplying 29 x 10 we will get the result as 290.

Question 11.
92 × 10 =

92 x 10 = 920
Explanation:-
By multiplying 92 x 10 we will get the result as 920.

Question 12.
10 × 92 =

10 x 92 = 920
Explanation:-
By multiplying 10 x 92 we will get the result as 920.

Question 13.
18 × 10 =

18 x 10 = 180
Explanation:-
By multiplying 18 x 10 we will get the result as 180.

Question 14.
19 × 10 =

19 x 10 = 190
Explanation:-
By multiplying 19 x 10 we will get the result as 190.

Question 15.
20 × 10 =

20 x 10 = 200
Explanation:-
By multiplying 20 x 10 we will get the result as 200.

Question 16.
30 × 10 =

12 x 10 = 120
Explanation:-
By multiplying 12 x 10 we will get the result as 120.

Question 17.
40 × 10 =

40 x 10 = 400
Explanation:-
By multiplying 40 x 10 we will get the result as 400.

Question 18.
80 × 10 =

80 x 10 = 800
Explanation:-
By multiplying 80 x 10 we will get the result as 800.

Question 19.
10 × 80 =

10 x 80 = 800
Explanation:-
By multiplying 10 x 80 we will get the result as 800.

Question 20.
10 × 50 =

10 x 50 = 500
Explanation:-
By multiplying 10 x 50 we will get the result as 500.

Question 21.
10 × 90 =

10 x 90 = 900
Explanation:-
By multiplying 10 x 90 we will get the result as 900.

Question 22.
10 × 70 =

10 x 70 = 700
Explanation:-
By multiplying 10 x 70 we will get the result as 700.

Question 23.
34 × 10 =

34 x 10 = 340
Explanation:-
By multiplying 34 x 10 we will get the result as 340.

Question 24.
134 × 10 =

134 x 10 = 1340
Explanation:-
By multiplying 134 x 10 we will get the result as 1340.

Question 25.
234 × 10 =

234 x 10 = 2340
Explanation:-
By multiplying 234 x 10 we will get the result as 2340.

Question 26.
334 × 10 =

334 x 10 = 3340
Explanation:-
By multiplying 334 x 10 we will get the result as 3340.

Question 27.
834 × 10 =

834 x 10 = 8340
Explanation:-
By multiplying 834 x 10 we will get the result as 8340.

Question 28.
10 × 834 =

10 x 834 = 8340
Explanation:-
By multiplying 10 x 834 we will get the result as 8340.

Question 29.
45 × 10 =

45 x 10 = 450
Explanation:-
By multiplying 45 x 10 we will get the result as 450.

Question 30.
145 × 10 =

145 x 10 = 1450
Explanation:-
By multiplying 145 x 10 we will get the result as 1450.

Question 31.
245 × 10 =

245 x 10 = 2450
Explanation:-
By multiplying 245 x 10 we will get the result as 2450.

Question 32.
345 × 10 =

345 x 10 = 3450
Explanation:-
By multiplying 345 x 10 we will get the result as 3450.

Question 33.
945 × 10 =

945 x 10 = 120
Explanation:-
By multiplying 945 x 10 we will get the result as 9450.

Question 34.
56 × 10 =

56 x 10 = 560
Explanation:-
By multiplying 56 x 10 we will get the result as 560.

Question 35.
456 × 10 =

456 x 10 = 4560
Explanation:-
By multiplying 456 x 10 we will get the result as 4560.

Question 36.
556 × 10 =

556 x 10 = 5560
Explanation:-
By multiplying 556 x 10 we will get the result as 5560.

Question 37.
950 × 10 =

950 x 10 = 9500
Explanation:-
By multiplying 950 x 10 we will get the result as 9500.

Question 38.
10 × 950 =

10 x 950 = 9500
Explanation:-
By multiplying 10 x 950 we will get the result as 9500.

Question 39.
16 × 10 =

16 x 10 = 160
Explanation:-
By multiplying 16 x 10 we will get the result as 160.

Question 40.
10 × 60 =

10 x 60 = 600
Explanation:-
By multiplying 10 x 60 we will get the result as 600.

Question 41.
493 × 10 =

493 x 10 = 4930
Explanation:-
By multiplying 493 x 10 we will get the result as 4930.

Question 42.
10 × 84 =

10 x 84 = 840
Explanation:-
By multiplying 10 x 84 we will get the result as 840.

Question 43.
96 × 10 =

96 x 10 = 960
Explanation:-
By multiplying 96 x 10 we will get the result as 960.

Question 44.
10 × 580 =

10 x 580 = 5800
Explanation:-
By multiplying 10 x 580 we will get the result as 5800.

B
Multiply by 10    Question 1.
13 × 10 =

13x 10 = 130
Explanation:-
By multiplying 13 x 10 we will get the result as 130.

Question 2.
14 × 10 =

14 x 10 = 140
Explanation:-
By multiplying 14 x 10 we will get the result as 140.

Question 3.
15 × 10 =

15 x 10 = 150
Explanation:-
By multiplying 15 x 10 we will get the result as 150.

Question 4.
19 × 10 =

19 x 10 = 190
Explanation:-
By multiplying 19 x 10 we will get the result as 190.

Question 5.
91 × 10 =

91 x 10 = 910
Explanation:-
By multiplying 91 x 10 we will get the result as 910.

Question 6.
10 × 91 =

10 x 91 = 910
Explanation:-
By multiplying 10 x 91 we will get the result as 910.

Question 7.
31 × 10 =

31 x 10 = 310
Explanation:-
By multiplying 31 x 10 we will get the result as 310.

Question 8.
32 × 10 =

32 x 10 = 320
Explanation:-
By multiplying 32 x 10 we will get the result as 320.

Question 9.
33 × 10 =

33 x 10 = 330
Explanation:-
By multiplying 33 x 10 we will get the result as 330.

Question 10.
38 × 10 =

38 x 10 = 380
Explanation:-
By multiplying 38 x 10 we will get the result as 380.

Question 11.
83 × 10 =

83 x 10 = 830
Explanation:-
By multiplying 83 x 10 we will get the result as 830.

Question 12.
10 × 83 =

10 x 83 = 830
Explanation:-
By multiplying 10 x 83 we will get the result as 830.

Question 13.
28 × 10 =

28 x 10 = 280
Explanation:-
By multiplying 28 x 10 we will get the result as 280.

Question 14.
29 × 10 =

29 x 10 = 290
Explanation:-
By multiplying 29 x 10 we will get the result as 290.

Question 15.
30 × 10 =

30 x 10 = 300
Explanation:-
By multiplying 30 x 10 we will get the result as 300.

Question 16.
40 × 10 =

40 x 10 = 400
Explanation:-
By multiplying 40 x 10 we will get the result as 400.

Question 17.
50 × 10 =

50 x 10 = 500
Explanation:-
By multiplying 50 x 10 we will get the result as 500.

Question 18.
90 × 10 =

90 x 10 = 900
Explanation:-
By multiplying 90 x 10 we will get the result as 900.

Question 19.
10 × 90 =

12 x 90 = 900
Explanation:-
By multiplying 10 x 90 we will get the result as 900

Question 20.
10 × 20 =

10 x 12 = 120
Explanation:-
By multiplying 10 x 12 we will get the result as 120.

Question 21.
10 × 60 =

10 x 60 = 600
Explanation:-
By multiplying 10 x 60 we will get the result as 600.

Question 22.
10 × 80 =

10 x 00 = 800
Explanation:-
By multiplying 10 x 80 we will get the result as 800.

Question 23.
43 × 10 =

43 x 10 = 430
Explanation:-
By multiplying 43 x 10 we will get the result as 430.

Question 24.
143 × 10 =

143 x 10 = 430
Explanation:-
By multiplying 43 x 10 we will get the result as 430.

Question 25.
243 × 10 =

243 x 10 = 2430
Explanation:-
By multiplying 243 x 10 we will get the result as 2430.

Question 26.
343 × 10 =

343 x 10 = 3430
Explanation:-
By multiplying 343 x 10 we will get the result as 3430.

Question 27.
743 × 10 =

743 x 10 = 7430
Explanation:-
By multiplying 743 x 10 we will get the result as 7430.

Question 28.
10 × 743 =

10 x 743 = 7430
Explanation:-
By multiplying 10 x 743 we will get the result as 7430.

Question 29.
54 × 10 =

54 x 10 = 540
Explanation:-
By multiplying 54 x 10 we will get the result as 540.

Question 30.
154 × 10 =

154 x 10 = 1540
Explanation:-
By multiplying 154 x 10 we will get the result as 1540.

Question 31.
254 × 10 =

254 x 10 = 2540
Explanation:-
By multiplying 254 x 10 we will get the result as 2540.

Question 32.
354 × 10 =

354 x 10 = 3540
Explanation:-
By multiplying 354 x 10 we will get the result as 3540.

Question 33.
854 × 10 =

854 x 10 = 8540
Explanation:-
By multiplying 854 x 10 we will get the result as 8540.

Question 34.
65 × 10 =

65 x 10 = 650
Explanation:-
By multiplying 65 x 10 we will get the result as 650.

Question 35.
465 × 10 =

465 x 10 = 4650
Explanation:-
By multiplying 465 x 10 we will get the result as 4650.

Question 36.
565 × 10 =

565 x 10 = 5650
Explanation:-
By multiplying 565 x 10 we will get the result as 5650.

Question 37.
960 × 10 =

960 x 10 = 9600
Explanation:-
By multiplying 960 x 10 we will get the result as 9600.

Question 38.
10 × 960 =

10 x 960 = 9600
Explanation:-
By multiplying 10 x 9600 we will get the result as 9600.

Question 39.
17 × 10 =

17 x 10 = 170
Explanation:-
By multiplying 17 x 10 we will get the result as 170.

Question 40.
10 × 70 =

70 x 10 = 700
Explanation:-
By multiplying 70 x 10 we will get the result as 700.

Question 41.
582 × 10 =

582 x 10 = 5820
Explanation:-
By multiplying 582 x 10 we will get the result as 5820.

Question 42.
10 × 73 =

10 x 73 = 730
Explanation:-
By multiplying 10 x 73 we will get the result as 730.

Question 43.
98 × 10 =

98 x 10 = 980
Explanation:-
By multiplying 98 x 10 we will get the result as 980.

Question 44.
10 × 470 =

10 x 470 = 4700
Explanation:-
By multiplying 10 x 470 we will get the result as 4700.

### Eureka Math Grade 5 Module 1 Lesson 1 Problem Set Answer Key

Question 1.
Use the place value chart and arrows to show how the value of the each digit changes. The first one has been done for you.
a. 3.452 × 10 = 34.52 b. 3.452 × 100 = _________ 3.452 × 100 = 345.2 c. 3.452 × 1,000 = ________ 3.452 × 1,000 = 3452 d. Explain how and why the value of the 5 changed in (a), (b), and (c).
Answer:-  The value of 5 in (a) is tenth place, the value of 5 has changed when its multiplying with 100 and placed in 100th value.
Likewise, when the 5 is multiplying with 1000 its changes its place to 1000. When we multiply any number with 10 or 100 or 1000
it increases its value like if the number is in right side the decimal it has less value and left side of the decimal it has more value.

Question 2.
Use the place value chart and arrows to show how the value of each digit changes. The first one has been done for you.
a. 345 ÷ 10 = 34.5 b. 345 ÷ 100 = ____________ 345 ÷ 100 = 3.45 c. 345 ÷ 1,000 = _____________ 345 ÷ 1,000 = 0.345 d. Explain how and why the value of the 4 changed in the quotients in (a), (b), and (c).
Answer:-  The value of 4 in (a) is tenth position when we dividing it by 100 it changes its quotient and becomes less value because
when the number is in right of the decimal it has less value. Likewise, when the value is dividing it with 1000 its value becomes 0. something. When we divide any number with any number its gradually decreases and distribute its value to the dividing number.

Question 3.
A manufacturer made 7,234 boxes of coffee stirrers. Each box contains 1,000 stirrers. How many stirrers did they make? Explain your thinking, and include a statement of the solution.

Answer:- There are totally 7234 boxes and in each box they contains 1000 stirrers. That means we have to multiply 7234 boxes with
1000 then we get the answer. In the same way, I have elaborated my answer.

The No. of boxes of coffee stirrers made by Manufacturer = 7234
Each box contains coffee stirrers  = 1000
Total Number of coffee stirrers = No. of boxes X Each box contains coffee stirrers
=  7234 X 1000
= 7,23,4000
Therefore, The total No. of coffee stirrers are 7,23,4000.

Question 4.
A student used his place value chart to show a number. After the teacher instructed him to multiply his number by 10, the chart showed 3,200.4. Draw a picture of what the place value chart looked like at first. Explain how you decided what to draw on your place value chart. Be sure to include your reasoning about how the value of each digit was affected by the multiplication. Use words, pictures, or numbers.
Answer:-  The teacher gave 3200.4 and said to multiply with 10. If any number has to multiply with 10 which has decimal value and the value get higher
Actual decimal number has least value so its get higher value when multiplied by 10. Before the value mutliplied  by 10 is show below:
320.04 x 10 = 3200.4 Question 5.
A microscope has a setting that magnifies an object so that it appears 100 times as large when viewed through the eyepiece. If a tiny insect is 0.095 cm long, how long will the insect appear in centimeters through the microscope? Explain how you know.
Answer:- A microscope has a setting that magnifies an object so that it appears 100 times that means we have to multiply the insect size with 100.
Insect size is 0.095 x 100 = 9.5 which means the insect appears 9.5 times larger from its actual size.  9.5 cm of size the insect represents its size through
microscope.

### Eureka Math Grade 5 Module 1 Lesson 1 Exit Ticket Answer Key

Use the place value chart and arrows to show how the value of each digit changes.
a. 6.671 × 100 = ____________ 6.671 × 100 = 667.1 b. 684 ÷ 1,000 = ____________ 684 ÷ 1,000 = 0.684 ### Eureka Math Grade 5 Module 1 Lesson 1 Homework Answer Key

Question 1.
Use the place value chart and arrows to show how the value of each digit changes. The first one has been done for you.
a. 4.582 × 10 = 45.82 b. 7.281 × 100 = ____________ 7.281 × 100 = 72.81 c. 9.254 × 1,000 = ____________ 9.254 × 1,000 = 9254 d. Explain how and why the value of the 2 changed in (a), (b), and (c).
Answer:-  The value of 2 in (a) is tenth place, the value of 2 has changed when its multiplying with 100 and placed in 100th value.
Likewise, when the 2 is multiplying with 1000 its changes its place to 1000. When we multiply any number with 10 or 100 or 1000
it increases its value like if the number is in right side the decimal it has less value and left side of the decimal it has more value.

Question 2.
Use the place value chart and arrows to show how the value of each digit changes. The first one has been done for you.
a. 2.46 ÷ 10 = 0.246 b. 678 ÷ 100 = ____________ 678 ÷ 100 = 6.78 c. 67 ÷ 1,000 = ____________ 67 ÷ 1,000 = 0.067 d. Explain how and why the value of the 6 changed in the quotients in (a), (b), and (c).
Answer:- The value of 6 in (a) is tenth position when we dividing it by 100 it changes its quotient and becomes less value because
when the number is in right of the decimal it has less value. Likewise, when the value is dividing it with 1000 its value becomes 0. something. When we divide any number with any number its gradually decreases and distribute its value to the dividing number.

Question 3.
Researchers counted 8,912 monarch butterflies on one branch of a tree at a site in Mexico. They estimated that the total number of butterflies at the site was 1,000 times as large. About how many butterflies were at the site in all? Explain your thinking, and include a statement of the solution.
Answer:- There are 8912 monarch butterflies on one branch of a tree and they have estimated total was 1000 times large so we have multiplied that with 1000 then will get the total no. of butterflies of all branches of a tree

Monarch Butterflies of a tree in Mexico = 8912
The Estimated butterflies at the Site                  = 1000
Therefore, The total No. of butterflies at the site           = Monarch Butterflies of a tree in Mexico x The Estimated butterflies at the Site
= 8912 x 1000
= 89,12,000

Question 4.
A student used his place value chart to show a number. After the teacher instructed him to divide his number by 100, the chart showed 28.003. Draw a picture of what the place value chart looked like at first. Explain how you decided what to draw on your place value chart. Be sure to include reasoning about how the value of each digit was affected by the division.
Answer:-  The teacher gave 2800.3 and said to divide with 100. If any number has to divide with 100 which has decimal value and the value get lower
Actual decimal number has  value highest so its get lowest value when divide by 100. Before the value divided  by 100 is show below:
2800.3 ÷ 100 = 28.003 Question 5.
On a map, the perimeter of a park is 0.251 meters. The actual perimeter of the park is 1,000 times as large. What is the actual perimeter of the park? Explain how you know using a place value chart. 