## 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

Answer:-

Question 1.

12 × 10 =

Answer:-

12 x 10 = 120

Explanation:-

By multiplying 12 x 10 we will get the result as 120.

Question 2.

14 × 10 =

Answer:-

14 x 10 = 120

Explanation:-

By multiplying 14 x 10 we will get the result as 140.

Question 3.

15 × 10 =

Answer:-

15 x 10 = 150

Explanation:-

By multiplying 15 x 10 we will get the result as 150.

Question 4.

17 × 10 =

Answer:-

17 x 10 = 170

Explanation:-

By multiplying 17 x 10 we will get the result as 170.

Question 5.

81 × 10 =

Answer:-

81 x 10 = 810

Explanation:-

By multiplying 81 x 10 we will get the result as 810.

Question 6.

10 × 81 =

Answer:-

10 x 81 = 810

Explanation:-

By multiplying 10 x 81 we will get the result as 810.

Question 7.

21 × 10 =

Answer:-

21 x 10 = 210

Explanation:-

By multiplying 21 x 10 we will get the result as 210.

Question 8.

22 × 10 =

Answer:-

22 x 10 = 220

Explanation:-

By multiplying 22 x 10 we will get the result as 220.

Question 9.

23 × 10 =

Answer:-

23 x 10 = 230

Explanation:-

By multiplying 23 x 10 we will get the result as 230.

Question 10.

29 × 10 =

Answer:-

29 x 10 = 290

Explanation:-

By multiplying 29 x 10 we will get the result as 290.

Question 11.

92 × 10 =

Answer:-

92 x 10 = 920

Explanation:-

By multiplying 92 x 10 we will get the result as 920.

Question 12.

10 × 92 =

Answer:-

10 x 92 = 920

Explanation:-

By multiplying 10 x 92 we will get the result as 920.

Question 13.

18 × 10 =

Answer:-

18 x 10 = 180

Explanation:-

By multiplying 18 x 10 we will get the result as 180.

Question 14.

19 × 10 =

Answer:-

19 x 10 = 190

Explanation:-

By multiplying 19 x 10 we will get the result as 190.

Question 15.

20 × 10 =

Answer:-

20 x 10 = 200

Explanation:-

By multiplying 20 x 10 we will get the result as 200.

Question 16.

30 × 10 =

Answer:-

12 x 10 = 120

Explanation:-

By multiplying 12 x 10 we will get the result as 120.

Question 17.

40 × 10 =

Answer:-

40 x 10 = 400

Explanation:-

By multiplying 40 x 10 we will get the result as 400.

Question 18.

80 × 10 =

Answer:-

80 x 10 = 800

Explanation:-

By multiplying 80 x 10 we will get the result as 800.

Question 19.

10 × 80 =

Answer:-

10 x 80 = 800

Explanation:-

By multiplying 10 x 80 we will get the result as 800.

Question 20.

10 × 50 =

Answer:-

10 x 50 = 500

Explanation:-

By multiplying 10 x 50 we will get the result as 500.

Question 21.

10 × 90 =

Answer:-

10 x 90 = 900

Explanation:-

By multiplying 10 x 90 we will get the result as 900.

Question 22.

10 × 70 =

Answer:-

10 x 70 = 700

Explanation:-

By multiplying 10 x 70 we will get the result as 700.

Question 23.

34 × 10 =

Answer:-

34 x 10 = 340

Explanation:-

By multiplying 34 x 10 we will get the result as 340.

Question 24.

134 × 10 =

Answer:-

134 x 10 = 1340

Explanation:-

By multiplying 134 x 10 we will get the result as 1340.

Question 25.

234 × 10 =

Answer:-

234 x 10 = 2340

Explanation:-

By multiplying 234 x 10 we will get the result as 2340.

Question 26.

334 × 10 =

Answer:-

334 x 10 = 3340

Explanation:-

By multiplying 334 x 10 we will get the result as 3340.

Question 27.

834 × 10 =

Answer:-

834 x 10 = 8340

Explanation:-

By multiplying 834 x 10 we will get the result as 8340.

Question 28.

10 × 834 =

Answer:-

10 x 834 = 8340

Explanation:-

By multiplying 10 x 834 we will get the result as 8340.

Question 29.

45 × 10 =

Answer:-

45 x 10 = 450

Explanation:-

By multiplying 45 x 10 we will get the result as 450.

Question 30.

145 × 10 =

Answer:-

145 x 10 = 1450

Explanation:-

By multiplying 145 x 10 we will get the result as 1450.

Question 31.

245 × 10 =

Answer:-

245 x 10 = 2450

Explanation:-

By multiplying 245 x 10 we will get the result as 2450.

Question 32.

345 × 10 =

Answer:-

345 x 10 = 3450

Explanation:-

By multiplying 345 x 10 we will get the result as 3450.

Question 33.

945 × 10 =

Answer:-

945 x 10 = 120

Explanation:-

By multiplying 945 x 10 we will get the result as 9450.

Question 34.

56 × 10 =

Answer:-

56 x 10 = 560

Explanation:-

By multiplying 56 x 10 we will get the result as 560.

Question 35.

456 × 10 =

Answer:-

456 x 10 = 4560

Explanation:-

By multiplying 456 x 10 we will get the result as 4560.

Question 36.

556 × 10 =

Answer:-

556 x 10 = 5560

Explanation:-

By multiplying 556 x 10 we will get the result as 5560.

Question 37.

950 × 10 =

Answer:-

950 x 10 = 9500

Explanation:-

By multiplying 950 x 10 we will get the result as 9500.

Question 38.

10 × 950 =

Answer:-

10 x 950 = 9500

Explanation:-

By multiplying 10 x 950 we will get the result as 9500.

Question 39.

16 × 10 =

Answer:-

16 x 10 = 160

Explanation:-

By multiplying 16 x 10 we will get the result as 160.

Question 40.

10 × 60 =

Answer:-

10 x 60 = 600

Explanation:-

By multiplying 10 x 60 we will get the result as 600.

Question 41.

493 × 10 =

Answer:-

493 x 10 = 4930

Explanation:-

By multiplying 493 x 10 we will get the result as 4930.

Question 42.

10 × 84 =

Answer:-

10 x 84 = 840

Explanation:-

By multiplying 10 x 84 we will get the result as 840.

Question 43.

96 × 10 =

Answer:-

96 x 10 = 960

Explanation:-

By multiplying 96 x 10 we will get the result as 960.

Question 44.

10 × 580 =

Answer:-

10 x 580 = 5800

Explanation:-

By multiplying 10 x 580 we will get the result as 5800.

B

Multiply by 10

Answer:-

Question 1.

13 × 10 =

Answer:-

13x 10 = 130

Explanation:-

By multiplying 13 x 10 we will get the result as 130.

Question 2.

14 × 10 =

Answer:-

14 x 10 = 140

Explanation:-

By multiplying 14 x 10 we will get the result as 140.

Question 3.

15 × 10 =

Answer:-

15 x 10 = 150

Explanation:-

By multiplying 15 x 10 we will get the result as 150.

Question 4.

19 × 10 =

Answer:-

19 x 10 = 190

Explanation:-

By multiplying 19 x 10 we will get the result as 190.

Question 5.

91 × 10 =

Answer:-

91 x 10 = 910

Explanation:-

By multiplying 91 x 10 we will get the result as 910.

Question 6.

10 × 91 =

Answer:-

10 x 91 = 910

Explanation:-

By multiplying 10 x 91 we will get the result as 910.

Question 7.

31 × 10 =

Answer:-

31 x 10 = 310

Explanation:-

By multiplying 31 x 10 we will get the result as 310.

Question 8.

32 × 10 =

Answer:-

32 x 10 = 320

Explanation:-

By multiplying 32 x 10 we will get the result as 320.

Question 9.

33 × 10 =

Answer:-

33 x 10 = 330

Explanation:-

By multiplying 33 x 10 we will get the result as 330.

Question 10.

38 × 10 =

Answer:-

38 x 10 = 380

Explanation:-

By multiplying 38 x 10 we will get the result as 380.

Question 11.

83 × 10 =

Answer:-

83 x 10 = 830

Explanation:-

By multiplying 83 x 10 we will get the result as 830.

Question 12.

10 × 83 =

Answer:-

10 x 83 = 830

Explanation:-

By multiplying 10 x 83 we will get the result as 830.

Question 13.

28 × 10 =

Answer:-

28 x 10 = 280

Explanation:-

By multiplying 28 x 10 we will get the result as 280.

Question 14.

29 × 10 =

Answer:-

29 x 10 = 290

Explanation:-

By multiplying 29 x 10 we will get the result as 290.

Question 15.

30 × 10 =

Answer:-

30 x 10 = 300

Explanation:-

By multiplying 30 x 10 we will get the result as 300.

Question 16.

40 × 10 =

Answer:-

40 x 10 = 400

Explanation:-

By multiplying 40 x 10 we will get the result as 400.

Question 17.

50 × 10 =

Answer:-

50 x 10 = 500

Explanation:-

By multiplying 50 x 10 we will get the result as 500.

Question 18.

90 × 10 =

Answer:-

90 x 10 = 900

Explanation:-

By multiplying 90 x 10 we will get the result as 900.

Question 19.

10 × 90 =

Answer:-

12 x 90 = 900

Explanation:-

By multiplying 10 x 90 we will get the result as 900

Question 20.

10 × 20 =

Answer:-

10 x 12 = 120

Explanation:-

By multiplying 10 x 12 we will get the result as 120.

Question 21.

10 × 60 =

Answer:-

10 x 60 = 600

Explanation:-

By multiplying 10 x 60 we will get the result as 600.

Question 22.

10 × 80 =

Answer:-

10 x 00 = 800

Explanation:-

By multiplying 10 x 80 we will get the result as 800.

Question 23.

43 × 10 =

Answer:-

43 x 10 = 430

Explanation:-

By multiplying 43 x 10 we will get the result as 430.

Question 24.

143 × 10 =

Answer:-

143 x 10 = 430

Explanation:-

By multiplying 43 x 10 we will get the result as 430.

Question 25.

243 × 10 =

Answer:-

243 x 10 = 2430

Explanation:-

By multiplying 243 x 10 we will get the result as 2430.

Question 26.

343 × 10 =

Answer:-

343 x 10 = 3430

Explanation:-

By multiplying 343 x 10 we will get the result as 3430.

Question 27.

743 × 10 =

Answer:-

743 x 10 = 7430

Explanation:-

By multiplying 743 x 10 we will get the result as 7430.

Question 28.

10 × 743 =

Answer:-

10 x 743 = 7430

Explanation:-

By multiplying 10 x 743 we will get the result as 7430.

Question 29.

54 × 10 =

Answer:-

54 x 10 = 540

Explanation:-

By multiplying 54 x 10 we will get the result as 540.

Question 30.

154 × 10 =

Answer:-

154 x 10 = 1540

Explanation:-

By multiplying 154 x 10 we will get the result as 1540.

Question 31.

254 × 10 =

Answer:-

254 x 10 = 2540

Explanation:-

By multiplying 254 x 10 we will get the result as 2540.

Question 32.

354 × 10 =

Answer:-

354 x 10 = 3540

Explanation:-

By multiplying 354 x 10 we will get the result as 3540.

Question 33.

854 × 10 =

Answer:-

854 x 10 = 8540

Explanation:-

By multiplying 854 x 10 we will get the result as 8540.

Question 34.

65 × 10 =

Answer:-

65 x 10 = 650

Explanation:-

By multiplying 65 x 10 we will get the result as 650.

Question 35.

465 × 10 =

Answer:-

465 x 10 = 4650

Explanation:-

By multiplying 465 x 10 we will get the result as 4650.

Question 36.

565 × 10 =

Answer:-

565 x 10 = 5650

Explanation:-

By multiplying 565 x 10 we will get the result as 5650.

Question 37.

960 × 10 =

Answer:-

960 x 10 = 9600

Explanation:-

By multiplying 960 x 10 we will get the result as 9600.

Question 38.

10 × 960 =

Answer:-

10 x 960 = 9600

Explanation:-

By multiplying 10 x 9600 we will get the result as 9600.

Question 39.

17 × 10 =

Answer:-

17 x 10 = 170

Explanation:-

By multiplying 17 x 10 we will get the result as 170.

Question 40.

10 × 70 =

Answer:-

70 x 10 = 700

Explanation:-

By multiplying 70 x 10 we will get the result as 700.

Question 41.

582 × 10 =

Answer:-

582 x 10 = 5820

Explanation:-

By multiplying 582 x 10 we will get the result as 5820.

Question 42.

10 × 73 =

Answer:-

10 x 73 = 730

Explanation:-

By multiplying 10 x 73 we will get the result as 730.

Question 43.

98 × 10 =

Answer:-

98 x 10 = 980

Explanation:-

By multiplying 98 x 10 we will get the result as 980.

Question 44.

10 × 470 =

Answer:-

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 = _________

Answer:-

3.452 × 100 = 345.2

c. 3.452 × 1,000 = ________

Answer:-

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 = ____________

Answer:-

345 ÷ 100 = 3.45

c. 345 ÷ 1,000 = _____________

Answer:-

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 = ____________

Answer:-

6.671 × 100 = 667.1

b. 684 ÷ 1,000 = ____________

Answer:-

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 = ____________

Answer:-

7.281 × 100 = 72.81

c. 9.254 × 1,000 = ____________

Answer:-

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 = ____________

Answer:-

678 ÷ 100 = 6.78

c. 67 ÷ 1,000 = ____________

Answer:-

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.

Answer:-

The perimeter on the map is 0.251 and the actual perimeter is 1000 times larger i.e., 0.251 x 1000 = 251

So the actual perimeter of the park is 251. We have multiplied the number with actual size of the perimeter.