## Engage NY Eureka Math 4th Grade Module 6 Lesson 4 Answer Key

## Eureka Math Grade 4 Module 6 Lesson 4 Sprint Answer Key

A

Write Fractions and Decimals

Answer:

2/10 = 0.2, 3/10 = 0.3, 4/10 = 0.4, 8/10 = 0.8, 6/10 = 0.6, 0.1 = 1/10, 0.2 = 2/10, 0.3 = 3/10, 0.7 = 7/10, 0.5 = 5/10, 5/10 = 0.5, 0.8 = 8/10, 7/10 = 0.7, 0.4 = 4/10, 9/10 = 0.9, 10/10 = 1, 11/10 = 1.1, 12/10 = 1.2, 15/10 = 1.5, 25/10 = 2.5, 45/10 = 4.5, 38/10 = 3.8, 1 = 10/10, 2 = 20/10, 5 = 50/10, 4 = 40/10, 4.1 = 41/10, 4.2 = 42/10, 4.6 = 46/10, 2.6 = 26/10, 3.6 = 36/10, 3.4 = 34/10, 2.3 = 23/10, 43/10 = 4.3, 20/10 = 2, 1.8 = 18/10, 34/10 = 3.4, 50/10 = 5, 4.7 = 47/10, 28/10 = 2.8, 30/10 = 3, 3.2 = 32/10, 20/10 = 2, 2.1 = 21/10.

Explanation:

In the above-given question,

given that,

write fractions and decimals.

Question 1.

\(\frac{2}{10}\) = 0.2

Answer:

2/10 = 0.2.

Explanation:

In the above-given question,

given that,

\(\frac{2}{10}\).

2/10 = 0.2.

Question 2.

\(\frac{3}{10}\) = 0.3

Answer:

3/10 = 0.3.

Explanation:

In the above-given question,

given that,

\(\frac{3}{10}\).

3/10 = 0.3.

Question 3.

\(\frac{4}{10}\) = 0.4

Answer:

4/10 = 0.4.

Explanation:

In the above-given question,

given that,

\(\frac{4}{10}\).

4/10 = 0.4.

Question 4.

\(\frac{8}{10}\) = 0.8

Answer:

8/10 = 0.8.

Explanation:

In the above-given question,

given that,

\(\frac{8}{10}\).

8/10 = 0.8.

Question 5.

\(\frac{6}{10}\) = 0.6

Answer:

6/10 = 0.6.

Explanation:

In the above-given question,

given that,

\(\frac{6}{10}\).

6/10 = 0.6.

Question 6.

0.1 = \(\frac{}{10}\)

Answer:

1/10 = 0.1.

Explanation:

In the above-given question,

given that,

\(\frac{1}{10}\).

1/10 = 0.1.

Question 7.

0.2 = \(\frac{}{10}\)

Answer:

2/10 = 0.2.

Explanation:

In the above-given question,

given that,

\(\frac{2}{10}\).

2/10 = 0.2.

Question 8.

0.3 = \(\frac{}{10}\)

Answer:

3/10 = 0.3.

Explanation:

In the above-given question,

given that,

\(\frac{3}{10}\).

3/10 = 0.3.

Question 9.

0.7 = \(\frac{}{10}\)

Answer:

7/10 = 0.7.

Explanation:

In the above-given question,

given that,

\(\frac{7}{10}\).

7/10 = 0.7.

Question 10.

0.5 = \(\frac{}{10}\)

Answer:

5/10 = 0.5.

Explanation:

In the above-given question,

given that,

\(\frac{5}{10}\).

5/10 = 0.5.

Question 11.

\(\frac{5}{10}\) = 0.5

Answer:

5/10 = 0.5.

Explanation:

In the above-given question,

given that,

\(\frac{5}{10}\).

5/10 = 0.5.

Question 12.

0.8 = \(\frac{}{10}\)

Answer:

8/10 = 0.8.

Explanation:

In the above-given question,

given that,

\(\frac{8}{10}\).

8/10 = 0.8.

Question 13.

\(\frac{7}{10}\) = 0.7

Answer:

7/10 = 0.7.

Explanation:

In the above-given question,

given that,

\(\frac{7}{10}\).

7/10 = 0.7.

Question 14.

0.4 = \(\frac{}{10}\)

Answer:

4/10 = 0.4.

Explanation:

In the above-given question,

given that,

\(\frac{4}{10}\).

4/10 = 0.4.

Question 15.

\(\frac{9}{10}\) = 0.9

Answer:

9/10 = 0.9.

Explanation:

In the above-given question,

given that,

\(\frac{9}{10}\).

9/10 = 0.9.

Question 16.

\(\frac{10}{10}\) = 1

Answer:

10/10 = 1.

Explanation:

In the above-given question,

given that,

\(\frac{10}{10}\).

10/10 = 1.

Question 17.

\(\frac{11}{10}\) = 1.1

Answer:

11/10 = 1.1.

Explanation:

In the above-given question,

given that,

\(\frac{11}{10}\).

11/10 = 1.1.

Question 18.

\(\frac{12}{10}\) = 1.2

Answer:

12/10 = 1.2.

Explanation:

In the above-given question,

given that,

\(\frac{12}{10}\).

12/10 = 1.2.

Question 19.

\(\frac{15}{10}\) = 1.5.

Answer:

15/10 = 1.5.

Explanation:

In the above-given question,

given that,

\(\frac{15}{10}\).

15/10 = 1.5.

Question 20.

\(\frac{25}{10}\) = 2.5.

Answer:

25/10 = 2.5.

Explanation:

In the above-given question,

given that,

\(\frac{25}{10}\).

25/10 = 2.5.

Question 21.

\(\frac{45}{10}\) = 4.5.

Answer:

45/10 = 4.5.

Explanation:

In the above-given question,

given that,

\(\frac{45}{10}\).

45/10 = 4.5.

Question 22.

\(\frac{38}{10}\) = 3.8.

Answer:

38/10 = 3.8.

Explanation:

In the above-given question,

given that,

\(\frac{38}{10}\).

38/10 = 3.8.

Question 23.

1 = \(\frac{}{10}\)

Answer:

10/10 = 1.

Explanation:

In the above-given question,

given that,

\(\frac{10}{10}\).

10/10 = 1.

Question 24.

2 = \(\frac{}{10}\)

Answer:

20/10 = 2.

Explanation:

In the above-given question,

given that,

\(\frac{20}{10}\).

20/10 = 2.

Question 25.

5 = \(\frac{}{10}\)

Answer:

50/10 = 5.

Explanation:

In the above-given question,

given that,

\(\frac{50}{10}\).

50/10 = 5.

Question 26.

4 = \(\frac{}{10}\)

Answer:

40/10 = 4.

Explanation:

In the above-given question,

given that,

\(\frac{40}{10}\).

40/10 = 4.

Question 27.

4.1 = \(\frac{}{10}\)

Answer:

41/10 = 4.1.

Explanation:

In the above-given question,

given that,

\(\frac{41}{10}\).

41/10 = 4.1.

Question 28.

4.2 = \(\frac{}{10}\)

Answer:

42/10 = 4.2.

Explanation:

In the above-given question,

given that,

\(\frac{42}{10}\).

42/10 = 4.2.

Question 29.

4.6 = \(\frac{}{10}\)

Answer:

46/10 = 4.6.

Explanation:

In the above-given question,

given that,

\(\frac{46}{10}\).

46/10 = 4.6.

Question 30.

2.6 = \(\frac{}{10}\)

Answer:

26/10 = 2.6.

Explanation:

In the above-given question,

given that,

\(\frac{26}{10}\).

26/10 = 2.6.

Question 31.

3.6 = \(\frac{}{10}\)

Answer:

36/10 = 3.6.

Explanation:

In the above-given question,

given that,

\(\frac{36}{10}\).

36/10 = 3.6.

Question 32.

3.4 = \(\frac{}{10}\)

Answer:

34/10 = 3.4.

Explanation:

In the above-given question,

given that,

\(\frac{34}{10}\).

34/10 = 3.4.

Question 33.

2.3 = \(\frac{}{10}\)

Answer:

23/10 = 2.3.

Explanation:

In the above-given question,

given that,

\(\frac{23}{10}\).

23/10 = 2.3.

Question 34.

4\(\frac{3}{10}\) = 4.3.

Answer:

43/10 = 4.3.

Explanation:

In the above-given question,

given that,

\(\frac{43}{10}\).

43/10 = 4.3.

Question 35.

\(\frac{20}{10}\) = 2.

Answer:

20/10 = 2.

Explanation:

In the above-given question,

given that,

\(\frac{20}{10}\).

20/10 = 2.

Question 36.

1.8 = \(\frac{}{10}\)

Answer:

18/10 = 1.8.

Explanation:

In the above-given question,

given that,

\(\frac{18}{10}\).

18/10 = 1.8.

Question 37.

3\(\frac{4}{10}\) = 3.4.

Answer:

34/10 = 3.4.

Explanation:

In the above-given question,

given that,

\(\frac{34}{10}\).

34/10 = 3.4.

Question 38.

\(\frac{50}{10}\) = 5.

Answer:

50/10 = 5.

Explanation:

In the above-given question,

given that,

\(\frac{50}{10}\).

50/10 = 5.

Question 39.

4.7 = \(\frac{}{10}\)

Answer:

47/10 = 4.7.

Explanation:

In the above-given question,

given that,

\(\frac{47}{10}\).

47/10 = 4.7.

Question 40.

2\(\frac{8}{10}\) = 2.8.

Answer:

28/10 = 2.8.

Explanation:

In the above-given question,

given that,

\(\frac{28}{10}\).

28/10 = 2.8.

Question 41.

\(\frac{30}{10}\) = 3.

Answer:

30/10 = 3.

Explanation:

In the above-given question,

given that,

\(\frac{30}{10}\).

30/10 = 3.

Question 42.

3.2 = \(\frac{}{10}\)

Answer:

32/10 = 3.2.

Explanation:

In the above-given question,

given that,

\(\frac{32}{10}\).

32/10 = 3.2.

Question 43.

\(\frac{20}{10}\) = 2.

Answer:

20/10 = 2.

Explanation:

In the above-given question,

given that,

\(\frac{20}{10}\).

20/10 = 2.

Question 44.

2.1 = \(\frac{}{10}\)

Answer:

21/10 = 2.1.

Explanation:

In the above-given question,

given that,

\(\frac{21}{10}\).

21/10 = 2.1.

B

Write Fractions and Decimals

Answer:

1/10 = 0.1, 2/10 = 0.2, 3/10 = 0.3, 7/10 = 0.7, 5/10 = 0.5, 0.2 = 2/10, 0.3 = 3/10, 0.4 = 4/10, 0.8 = 8/10, 0.6 = 6/10, 4/10 = 0.4, 0.9 = 9/10, 6/10 = 0.6, 0.5 = 5/10, 9/10 = 0.9, 10/10 = 1, 11/10 = 1.1, 12/10 = 1.2, 17/10 = 1.7, 27/10 = 2.7, 47/10 = 4.7, 34/10 = 3.4, 1 = 10/10, 2 = 20/10, 4 = 40/10, 3 = 30/10, 3.1 = 31/10, 3.2 = 32/10, 3.6 = 36/10, 1.6 = 16/10, 2.6 = 26/10, 4.2 = 42/10, 2.5 = 25/10, 34/10 = 3.4, 20/10 = 2, 4.6 = 46/10, 24/10 = 2.4, 40/10 = 4, 2.3 = 23/10, 30/10 = 3, 4.1 = 41/10.

Explanation:

In the above-given question,

given that,

divide by 10.

write fractions and decimals.

Question 1.

\(\frac{1}{10}\) = 0.1.

Answer:

1/10 = 0.1.

Explanation:

In the above-given question,

given that,

\(\frac{1}{10}\).

1/10 = 0.1.

Question 2.

\(\frac{2}{10}\) = 0.2.

Answer:

2/10 = 0.2.

Explanation:

In the above-given question,

given that,

\(\frac{2}{10}\).

2/10 = 0.2.

Question 3.

\(\frac{3}{10}\) = 0.3.

Answer:

3/10 = 0.3.

Explanation:

In the above-given question,

given that,

\(\frac{3}{10}\).

3/10 = 0.3.

Question 4.

\(\frac{7}{10}\) = 0.7.

Answer:

7/10 = 0.7.

Explanation:

In the above-given question,

given that,

\(\frac{7}{10}\).

7/10 = 0.7.

Question 5.

\(\frac{5}{10}\) = 0.5.

Answer:

5/10 = 0.5.

Explanation:

In the above-given question,

given that,

\(\frac{5}{10}\).

5/10 = 0.5.

Question 6.

0.2 = \(\frac{}{10}\)

Answer:

2/10 = 0.2.

Explanation:

In the above-given question,

given that,

\(\frac{2}{10}\).

2/10 = 0.2.

Question 7.

0.3 = \(\frac{}{10}\)

Answer:

3/10 = 0.3.

Explanation:

In the above-given question,

given that,

\(\frac{3}{10}\).

3/10 = 0.3.

Question 8.

0.4 = \(\frac{}{10}\)

Answer:

4/10 = 0.4.

Explanation:

In the above-given question,

given that,

\(\frac{4}{10}\).

4/10 = 0.4.

Question 9.

0.8 = \(\frac{}{10}\)

Answer:

8/10 = 0.8.

Explanation:

In the above-given question,

given that,

\(\frac{8}{10}\).

8/10 = 0.8.

Question 10.

0.6 = \(\frac{}{10}\)

Answer:

6/10 = 0.6.

Explanation:

In the above-given question,

given that,

\(\frac{6}{10}\).

6/10 = 0.6.

Question 11.

\(\frac{4}{10}\) = 0.4

Answer:

4/10 = 0.4.

Explanation:

In the above-given question,

given that,

\(\frac{4}{10}\).

4/10 = 0.4.

Question 12.

0.9 = \(\frac{}{10}\)

Answer:

9/10 = 0.9.

Explanation:

In the above-given question,

given that,

\(\frac{9}{10}\).

9/10 = 0.9.

Question 13.

\(\frac{6}{10}\) = 0.6.

Answer:

6/10 = 0.6.

Explanation:

In the above-given question,

given that,

\(\frac{6}{10}\).

6/10 = 0.6.

Question 14.

0.5 = \(\frac{}{10}\)

Answer:

5/10 = 0.5.

Explanation:

In the above-given question,

given that,

\(\frac{5}{10}\).

5/10 = 0.5.

Question 15.

\(\frac{9}{10}\) = 0.9.

Answer:

9/10 = 0.9.

Explanation:

In the above-given question,

given that,

\(\frac{9}{10}\).

9/10 = 0.9.

Question 16.

\(\frac{10}{10}\) =1.

Answer:

10/10 = 1.

Explanation:

In the above-given question,

given that,

\(\frac{10}{10}\).

10/10 = 1.

Question 17.

\(\frac{11}{10}\) = 1.1.

Answer:

11/10 = 1.1.

Explanation:

In the above-given question,

given that,

\(\frac{11}{10}\).

11/10 = 1.1.

Question 18.

\(\frac{12}{10}\) = 1.2.

Answer:

12/10 = 1.2.

Explanation:

In the above-given question,

given that,

\(\frac{12}{10}\).

12/10 = 1.2.

Question 19.

\(\frac{17}{10}\) = 1.7.

Answer:

17/10 = 1.7.

Explanation:

In the above-given question,

given that,

\(\frac{17}{10}\).

17/10 = 1.7.

Question 20.

\(\frac{27}{10}\) = 2.7.

Answer:

27/10 = 2.7.

Explanation:

In the above-given question,

given that,

\(\frac{27}{10}\).

27/10 = 2.7.

Question 21.

\(\frac{47}{10}\) = 4.7.

Answer:

47/10 = 4.7.

Explanation:

In the above-given question,

given that,

\(\frac{47}{10}\).

47/10 = 4.7.

Question 22.

\(\frac{34}{10}\) = 3.4.

Answer:

34/10 = 3.4.

Explanation:

In the above-given question,

given that,

\(\frac{34}{10}\).

34/10 = 3.4.

Question 23.

1 = \(\frac{}{10}\)

Answer:

10/10 = 1.

Explanation:

In the above-given question,

given that,

\(\frac{10}{10}\).

10/10 = 1.

Question 24.

2 = \(\frac{}{10}\)

Answer:

2/10 = 0.2.

Explanation:

In the above-given question,

given that,

\(\frac{2}{10}\).

2/10 = 0.2.

Question 25.

4 = \(\frac{}{10}\)

Answer:

40/10 = 4.

Explanation:

In the above-given question,

given that,

\(\frac{40}{10}\).

40/10 = 4.

Question 26.

3 = \(\frac{}{10}\)

Answer:

30/10 = 3.

Explanation:

In the above-given question,

given that,

\(\frac{30}{10}\).

30/10 = 3.

Question 27.

3.1 = \(\frac{}{10}\)

Answer:

31/10 = 3.1.

Explanation:

In the above-given question,

given that,

\(\frac{31}{10}\).

31/10 = 3.1.

Question 28.

3.2 = \(\frac{}{10}\)

Answer:

32/10 = 3.2.

Explanation:

In the above-given question,

given that,

\(\frac{32}{10}\).

32/10 = 3.2.

Question 29.

3.6 = \(\frac{}{10}\)

Answer:

36/10 = 3.6.

Explanation:

In the above-given question,

given that,

\(\frac{36}{10}\).

36/10 = 3.6.

Question 30.

1.6 = \(\frac{}{10}\)

Answer:

16/10 = 1.6.

Explanation:

In the above-given question,

given that,

\(\frac{16}{10}\).

16/10 = 1.6.

Question 31.

2.6 = \(\frac{}{10}\)

Answer:

26/10 = 2.6.

Explanation:

In the above-given question,

given that,

\(\frac{26}{10}\).

26/10 = 2.6.

Question 32.

4.2 = \(\frac{}{10}\)

Answer:

42/10 = 4.2.

Explanation:

In the above-given question,

given that,

\(\frac{42}{10}\).

42/10 = 4.2.

Question 33.

2.5 = \(\frac{}{10}\)

Answer:

25/10 = 2.5.

Explanation:

In the above-given question,

given that,

\(\frac{25}{10}\).

25/10 = 2.5.

Question 34.

3\(\frac{4}{10}\) = 3.4.

Answer:

34/10 = 3.4.

Explanation:

In the above-given question,

given that,

\(\frac{34}{10}\).

34/10 = 3.4.

Question 35.

\(\frac{50}{10}\) = 5.

Answer:

50/10 = 5.

Explanation:

In the above-given question,

given that,

\(\frac{50}{10}\).

50/10 = 5.

Question 36.

1.7 = \(\frac{}{10}\)

Answer:

17/10 = 1.7.

Explanation:

In the above-given question,

given that,

\(\frac{17}{10}\).

17/10 = 1.7.

Question 37.

4\(\frac{3}{10}\) = 4.3.

Answer:

43/10 = 4.3.

Explanation:

In the above-given question,

given that,

\(\frac{43}{10}\).

43/10 = 4.3.

Question 38.

\(\frac{20}{10}\) = 2.

Answer:

20/10 = 2.

Explanation:

In the above-given question,

given that,

\(\frac{20}{10}\).

20/10 = 2.

Question 39.

4.6 = \(\frac{}{10}\)

Answer:

46/10 = 4.6.

Explanation:

In the above-given question,

given that,

\(\frac{46}{10}\).

46/10 = 4.6.

Question 40.

2\(\frac{4}{10}\) =2.4.

Answer:

24/10 = 2.4.

Explanation:

In the above-given question,

given that,

\(\frac{24}{10}\).

24/10 = 2.4.

Question 41.

\(\frac{40}{10}\) = 4.

Answer:

40/10 = 4.

Explanation:

In the above-given question,

given that,

\(\frac{40}{10}\).

40/10 = 4.

Question 42.

2.3 = \(\frac{}{10}\)

Answer:

23/10 = 2.3.

Explanation:

In the above-given question,

given that,

\(\frac{23}{10}\).

23/10 = 2.3.

Question 43.

\(\frac{30}{10}\) = 3.

Answer:

30/10 = 3.

Explanation:

In the above-given question,

given that,

\(\frac{30}{10}\).

30/10 = 3.

Question 44.

4.1 = \(\frac{}{10}\)

Answer:

41/10 = 4.1.

Explanation:

In the above-given question,

given that,

\(\frac{41}{10}\).

41/10 = 4.1.

## Eureka Math Grade 4 Module 6 Lesson 4 Problem Set Answer Key

Question 1.

a. What is the length of the shaded part of the meter stick in centimeters?

b. What fraction of a meter is 1 centimeter?

c. In fraction form, express the length of the shaded portion of the meter stick.

d. In decimal form, express the length of the shaded portion of the meter stick.

e. What fraction of a meter is 10 centimeters?

Answer:

a.The length of the shaded part of the meter stick in centimeters = 1cm.

b. 1/10 fraction of a meter is 1 centimeter.

c. The length of the shaded portion of the meter stick = 1/10.

d. decimal form = 0.1.

e. 1/10 fraction of a meter is 10 centimeters.

Explanation:

In the above-given question,

given that,

1 meter = 10 centimeters.

a.The length of the shaded part of the meter stick in centimeters = 1cm.

b. 1/10 fraction of a meter is 1 centimeter.

c. The length of the shaded portion of the meter stick = 1/10.

d. decimal form = 0.1.

e. 1/10 fraction of a meter is 10 centimeters.

Question 2.

Fill in the blanks.

a. 1 tenth = __10__ hundredths

b. \(\frac{1}{10}\)m = \(\frac{}{10}\)m

c. \(\frac{2}{10}\)m = \(\frac{20}{}\)m

Answer:

a. 1 tenth = 10 hundredths.

b. 1/10 = 10/10.

c. 2/10 = 20/100.

Explanation:

In the above-given question,

given that,

a. 1 tenth = 10 hundredths.

b. 1/10 = 10/10.

c. 2/10 = 20/100.

Question 3.

Use the model to add the shaded parts as shown. Write a number bond with the total written in decimal form and the parts written as fractions. The first one has been done for you.

\(\frac{1}{10}\)m + \(\frac{3}{100}\)m = \(\frac{13}{100}\)m = 0.13m

b.

Answer:

0.24 m.

Explanation:

In the above-given question,

given that,

\(\frac{2}{10}\)m + \(\frac{4}{100}\)m = \(\frac{24}{100}\)m = 0.24m

2/10 = 0.2.

4/100 = 0.04.

0.2 + 0.04 = 0.24 m

c.

Answer:

0.38 m.

Explanation:

In the above-given question,

given that,

\(\frac{3}{10}\)m + \(\frac{8}{100}\)m = \(\frac{38}{100}\)m = 0.38m

3/10 = 0.3.

8/100 = 0.08.

0.3 + 0.08 = 0.38 m.

Question 4.

On each meter stick, shade in the amount shown. Then, write the equivalent decimal.

a. \(\frac{8}{10}\)m

Answer:

0.84 m.

Explanation:

In the above-given question,

given that,

\(\frac{8}{10}\)m + \(\frac{4}{100}\)m = \(\frac{84}{100}\)m = 0.84m

8/10 = 0.8.

4/100 = 0.04.

0.8 + 0.04 = 0.84 m

b. \(\frac{7}{100}\)m

Answer:

0.17 m.

Explanation:

In the above-given question,

given that,

\(\frac{1}{10}\)m + \(\frac{7}{100}\)m = \(\frac{17}{100}\)m = 0.17m

1/10 = 0.1.

7/100 = 0.07.

0.1 + 0.07 = 0.17 m

c. \(\frac{19}{100}\)m

Answer:

0.19 m.

Explanation:

In the above-given question,

given that,

\(\frac{1}{10}\)m + \(\frac{9}{100}\)m = \(\frac{19}{100}\)m = 0.19m

1/10 = 0.1.

9/100 = 0.09.

0.1 + 0.09 = 0.19 m.

Question 5.

Draw a number bond, pulling out the tenths from the hundredths as in Problem 3. Write the total as the equivalent decimal.

a. \(\frac{19}{100}\)m

b. \(\frac{28}{100}\)m

c. \(\frac{77}{100}\) m

d. \(\frac{94}{100}\)m

Answer:

a. 0.19 m.

Explanation:

In the above-given question,

given that,

\(\frac{1}{10}\)m + \(\frac{9}{100}\)m = \(\frac{19}{100}\)m = 0.19m

1/10 = 0.1.

9/100 = 0.09.

0.1 + 0.09 = 0.19 m

Answer:

b. 0.28 m.

Explanation:

In the above-given question,

given that,

\(\frac{2}{10}\)m + \(\frac{8}{100}\)m = \(\frac{28}{100}\)m = 0.28m

2/10 = 0.2.

8/100 = 0.08.

0.2 + 0.08 = 0.28 m

Answer:

c. 0.77 m.

Explanation:

In the above-given question,

given that,

\(\frac{7}{10}\)m + \(\frac{7}{100}\)m = \(\frac{77}{100}\)m = 0.77m

7/10 = 0.7.

7/100 = 0.07.

0.7 + 0.07 = 0.77 m

Answer:

0.94 m.

Explanation:

In the above-given question,

given that,

\(\frac{9}{10}\)m + \(\frac{4}{100}\)m = \(\frac{94}{100}\)m = 0.94m

9/10 = 0.9.

4/100 = 0.04.

0.9 + 0.04 = 0.94 m

Eureka Math Grade 4 Module 6 Lesson 4 Exit Ticket Answer Key

Question 1.

Shade in the amount shown. Then, write the equivalent decimal.

\(\frac{6}{10}\)m

Answer:

0.6 m.

Explanation:

In the above-given question,

given that,

\(\frac{6}{10}\)m = 0.6m

6/10 = 0.6.

Question 2.

Draw a number bond, pulling out the tenths from the hundredths. Write the total as the equivalent decimal.

a. \(\frac{62}{100}\)m

b. \(\frac{27}{100}\)

Answer:

a.0.62 m.

Explanation:

In the above-given question,

given that,

\(\frac{6}{10}\)m + \(\frac{2}{100}\)m = \(\frac{62}{100}\)m = 0.62m

6/10 = 0.6.

2/100 = 0.02.

0.6 + 0.02 = 0.62 m

Answer:

b.0.27 m.

Explanation:

In the above-given question,

given that,

\(\frac{2}{10}\)m + \(\frac{7}{100}\)m = \(\frac{27}{100}\)m = 0.27m

2/10 = 0.2.

7/100 = 0.07.

0.2 + 0.07 = 0.27 m

Eureka Math Grade 4 Module 6 Lesson 4 Homework Answer Key

Question 1.

a. What is the length of the shaded part of the meter stick in centimeters?

b. What fraction of a meter is 3 centimeters?

c. In fraction form, express the length of the shaded portion of the meter stick.

d. In decimal form, express the length of the shaded portion of the meter stick.

e. What fraction of a meter is 30 centimeters?

Answer:

a.The length of the shaded part of the meter stick in centimeters = 3cm.

b. 1/30 fraction of a meter is 3 centimeters.

c. The length of the shaded portion of the meter stick = 1/30.

d. decimal form = 0.03.

e. 1/30 fraction of a meter is 30 centimeters.

Explanation:

In the above-given question,

given that,

1 meter = 100 centimeters.

a.The length of the shaded part of the meter stick in centimeters = 3cm.

b. 1/30 fraction of a meter is 3 centimeters.

c. The length of the shaded portion of the meter stick = 1/30.

d. decimal form = 0.03.

e. 1/30 fraction of a meter is 30 centimeters.

Question 2.

Fill in the blanks.

a. 5 tenths = __50__ hundredths

b. \(\frac{5}{10}\)m = \(\frac{}{100}\)m

c. \(\frac{4}{10}\)m = \(\frac{40}{}\) m

Answer:

a. 5 tenth = 50 hundredths.

b. 5/10 = 50/100.

c. 4/10 = 40/100.

Explanation:

In the above-given question,

given that,

a. 5 tenth = 50 hundredths.

b. 5/10 = 50/10.

c. 4/10 = 40/100.

Question 3.

Use the model to add the shaded parts as shown. Write a number bond with the total written in decimal form and the parts written as fractions. The first one has been done for you.

\(\frac{1}{10}\) m + \(\frac{3}{100}\) m = \(\frac{13}{100}\) m = 0.13 m

b.

Answer:

0.38 m.

Explanation:

In the above-given question,

given that,

\(\frac{3}{10}\)m + \(\frac{8}{100}\)m = \(\frac{38}{100}\)m = 0.38m

3/10 = 0.3.

8/100 = 0.08.

0.3 + 0.08 = 0.38 m

c.

Answer:

0.46 m.

Explanation:

In the above-given question,

given that,

\(\frac{4}{10}\)m + \(\frac{6}{100}\)m = \(\frac{46}{100}\)m = 0.46m

4/10 = 0.4.

6/100 = 0.06.

0.4 + 0.06 = 0.46 m

Question 4.

On each meter stick, shade in the amount shown. Then, write the equivalent decimal.

a. \(\frac{9}{10}\) m

b. \(\frac{15}{100}\) m

Answer:

0.15 m.

Explanation:

In the above-given question,

given that,

\(\frac{1}{10}\)m + \(\frac{5}{100}\)m = \(\frac{15}{100}\)m = 0.15m

1/10 = 0.1.

5/100 = 0.05.

0.1 + 0.05 = 0.15 m

c. \(\frac{41}{100}\) m

Answer:

0.41 m.

Explanation:

In the above-given question,

given that,

\(\frac{4}{10}\)m + \(\frac{1}{100}\)m = \(\frac{41}{100}\)m = 0.41m

4/10 = 0.4.

1/100 = 0.01.

0.4 + 0.01 = 0.41 m

Question 5.

Draw a number bond, pulling out the tenths from the hundredths, as in Problem 3 of the Homework. Write the total as the equivalent decimal.

a. \(\frac{23}{100}\)m

b. \(\frac{38}{100}\)m

c. \(\frac{82}{100}\)m

d. \(\frac{76}{100}\)m

Answer:

a.0.23 m.

Explanation:

In the above-given question,

given that,

\(\frac{2}{10}\)m + \(\frac{3}{100}\)m = \(\frac{23}{100}\)m = 0.23m

2/10 = 0.2.

3/100 = 0.03.

0.2 + 0.03 = 0.23 m

Answer:

b. 0.38 m.

Explanation:

In the above-given question,

given that,

\(\frac{3}{10}\)m + \(\frac{8}{100}\)m = \(\frac{38}{100}\)m = 0.38m

3/10 = 0.3.

8/100 = 0.08.

0.3 + 0.08 = 0.38 m

Answer:

c. 0.82 m.

Explanation:

In the above-given question,

given that,

\(\frac{8}{10}\)m + \(\frac{2}{100}\)m = \(\frac{82}{100}\)m = 0.82m

8/10 = 0.8.

2/100 = 0.02.

0.8 + 0.02 = 0.82 m

Answer:

d. 0.76 m.

Explanation:

In the above-given question,

given that,

\(\frac{7}{10}\)m + \(\frac{6}{100}\)m = \(\frac{76}{100}\)m = 0.76m

7/10 = 0.7.

6/100 = 0.06.

0.7 + 0.06 = 0.76 m