## Engage NY Eureka Math 4th Grade Module 6 Lesson 10 Answer Key

### Eureka Math Grade 4 Module 6 Lesson 10 Problem Set Answer Key

Question 1.

Shade the area models below, decomposing tenths as needed, to represent the pairs of decimal numbers. Fill in the blank with <, >, or = to compare the decimal numbers.

a. 0.23 ____<____ 0.4

Answer:

0.23 < 0.4.

Explanation:

In the above-given question,

given that,

shade the area models below, decomposing tenths as needed, to represent the pairs of decimal numbers.

0.23 is lessthan 0.4.

0.23 < 0.4.

b. 0.6 ____>____ 0.38

Answer:

0.6 > 0.38.

Explanation:

In the above-given question,

given that,

shade the area models below, decomposing tenths as needed, to represent the pairs of decimal numbers.

0.6 is greaterthan 0.38.

0.6 > 0.38.

c. 0.09 ____<____ 0.9

Answer:

0.09 < 0.9.

Explanation:

In the above-given question,

given that,

shade the area models below, decomposing tenths as needed, to represent the pairs of decimal numbers.

0.09 is lessthan 0.9.

0.09 < 0.9.

d. 0.70 ____=____ 0.7

Answer:

0.70 = 0.7.

Explanation:

In the above-given question,

given that,

shade the area models below, decomposing tenths as needed, to represent the pairs of decimal numbers.

0.70 is equal to 0.7.

0.70 = 0.7.

Question 2.

Locate and label the points for each of the decimal numbers on the number line. Fill in the blank with <, >, or = to compare the decimal numbers.

a. 10.03 ___<___ 10.3

Answer:

10.03 < 10.0.

Explanation:

In the above-given question,

given that,

Locate and label the points for each of the decimal numbers on the number line.

10.03 is less than 10.3.

10.03 < 10.0.

b. 12.68 ___<___ 12.8

Answer:

12.68 < 12.8.

Explanation:

In the above-given question,

given that,

Locate and label the points for each of the decimal numbers on the number line.

12.68 is less than 12.8.

12.68 < 12.8.

Question 3.

Use the symbols <, >, or = to compare.

a. 3.42 ___<___ 3.75

b. 4.21 ___>___ 4.12

c. 2.15 ___<___ 3.15

d. 4.04 ___<___ 6.02

e. 12.7 ___=___ 12.70

f. 1.9 ___>___ 1.21

Answer:

a. 3.42 < 3.75.

Explanation:

In the above-given question,

given that,

3.42 is less than 3.75.

3.42 < 3.75.

Answer:

b. 4.21 > 4.12.

Explanation:

In the above-given question,

given that,

4.21 is greater than 4.12.

4.21 > 4.12.

Answer:

c. 2.15 < 3.15.

Explanation:

In the above-given question,

given that,

2.15 is less than 3.15.

2.15 < 3.15.

Answer:

d. 4.04 < 6.02.

Explanation:

In the above-given question,

given that,

4.04 is less than 6.02.

4.04 < 6.02.

Answer:

e. 12.7 = 12.70.

Explanation:

In the above-given question,

given that,

12.7 is equal to 12.70.

12.7 = 12.70.

Answer:

f. 1.9 > 1.21.

Explanation:

In the above-given question,

given that,

1.9 is greater than 1.21.

1.9 > 1.21.

Question 4.

Use the symbols <, >, or = to compare. Use pictures as needed to solve.

a. 23 tenths ___=___ 2.3

b. 1.04 ___<___1 one and 4 tenths

6.07 ___<___ 6\(\frac{7}{10}\)

d. 0.45 ___=___ \(\frac{45}{10}\)

e. \(\frac{127}{100}\) __>____ 1.72

f. 6 tenths ___=___ 66 hundredths

Answer:

a. 23 tenths = 2.3.

Explanation:

In the above-given question,

given that,

23 tenths is equal to 2.3.

23 tenths = 2.3.

23 tenths = 23/10.

23/10 = 2.3.

2.3 = 2.3.

Answer:

b.1.04 < 1 one and 4 tenths.

Explanation:

In the above-given question,

given that,

1.04 is less than 1 one and 4 tenths.

1 one and 4 tenths = 1 + 4/10.

4/10 = 0.4.

1 + 0.4 = 1.4.

1.04 < 1.4.

Answer:

c. 6.07 < 6\(\frac{7}{10}\)

Explanation:

In the above-given question,

given that,

6.07 is less than 6\(\frac{7}{10}\).

6\(\frac{7}{10}\) = 6 + 7/10.

6 + 0.7 = 6.7.

6.07 < 6.7.

Answer:

d. 0.45 = \(\frac{45}{10}\).

Explanation:

In the above-given question,

given that,

0.45 is equal to \(\frac{45}{10}\).

\(\frac{45}{10}\) = 0.45.

45/10 = 0.45.

0.45 = 0.45.

Answer:

e. 1.72 > \(\frac{127}{100}\)

Explanation:

In the above-given question,

given that,

1.72 is greater than \(\frac{127}{100}\).

\(\frac{127}{100}\) = 127/100.

127/100 = 1.27.

1.72 > 1.27.

Answer:

f. 6 tenths < 66 hundredths.

Explanation:

In the above-given question,

given that,

6 tenths is less than 66 hundredths.

66 hundredths = 66/100.

66/100 = 0.66.

6 tenths = 6/10.

6/10 = 0.6.

0.6 = 0.66.

### Eureka Math Grade 4 Module 6 Lesson 10 Exit Ticket Answer Key

Question 1.

Ryan says that 0.6 is less than 0.60 because it has fewer digits. Jessie says that 0.6 is greater than 0.60. Who is right? Why? Use the area models below to help explain your answer.

0.6 ___=____ 0.60

Answer:

Both of them are wrong.

Explanation:

In the above-given question,

given that,

Ryan says that 0.6 is less than 0.60 because it has fewer digits.

Jessie says that 0.6 is greater than 0.60.

0.6 = 0.60.

0.6 = 0.60.

Question 2.

Use the symbols <, >, or = to compare.

a. 3.9 ___>___ 3.09

b. 2.4 ___>___ 2 ones and 4 hundredths

c. 7.84 ___=___ 78 tenths and 4 hundredths

Answer:

a. 3.9 > 3.09.

Explanation:

In the above-given question,

given that,

3.9 is greater than 3.09.

3.9 > 3.09.

Answer:

b. 2.4 > 2 ones and 4 hundredths.

Explanation:

In the above-given question,

given that,

2.4 is greater than 2 ones and 4 hundredths.

2 ones and 4 hundredths = 2 + 4/100.

4/100 = 0.04.

2 + 0.04 = 2.04.

2.4 > 2.04.

Answer:

c. 7.84 = 78 tenths and 4 hundredths.

Explanation:

In the above-given question,

given that,

7.84 is 78 tenths and 4 hundredths.

78/10 + 4/100.

7.8 + 0.04 = 7.84.

7.84 = 7.84.

### Eureka Math Grade 4 Module 6 Lesson 10 Homework Answer Key

Question 1.

Shade the parts of the area models below, decomposing tenths as needed, to represent the pairs of decimal numbers. Fill in the blank with <, >, or = to compare the decimal numbers.

a. 0.19 ___<___ 0.3

Answer:

0.19 < 0.3.

Explanation:

In the above-given question,

given that,

shade the area models below, decomposing tenths as needed, to represent the pairs of decimal numbers.

0.19 is less than 0.3.

0.19 < 0.3.

b. 0.6 ___>___ 0.06

Answer:

0.6 > 0.06.

Explanation:

In the above-given question,

given that,

shade the area models below, decomposing tenths as needed, to represent the pairs of decimal numbers.

0.6 is greaterthan 0.06.

0.6 > 0.06.

c. 1.8 ___>___1.53

Answer:

1.8 > 1.53.

Explanation:

In the above-given question,

given that,

shade the area models below, decomposing tenths as needed, to represent the pairs of decimal numbers.

1.8 is greater than 1.53.

1.8 > 1.53

.

d. 0.38 ___<___ 0.7

Answer:

0.38 < 0.7.

Explanation:

In the above-given question,

given that,

shade the area models below, decomposing tenths as needed, to represent the pairs of decimal numbers.

0.38 is less than 0.7.

0.38 < 0.7.

Question 2.

Locate and label the points for each of the decimal numbers on the number line. Fill in the blank with <, >, or = to compare the decimal numbers.

a. 7.2 ____>____ 7.02

Answer:

7.2 > 7.02.

Explanation:

In the above-given question,

given that,

Locate and label the points for each of the decimal numbers on the number line.

7.2 is greater than 7.02.

7.2 > 7.02.

b. 18.19 ____<____ 18.3

Answer:

18.19 < 18.3.

Explanation:

In the above-given question,

given that,

Locate and label the points for each of the decimal numbers on the number line.

18.19 is less than 18.3.

18.19 < 18.3.

Question 3.

Use the symbols <, >, or = to compare.

a. 2.68 ____>____2.54

b. 6.37 ____<____ 6.73

c. 9.28 ____>____ 7.28

d. 3.02 ___<_____ 3.2

e. 13.1 ____<____13.10

f. 5.8 ____<____ 5.92

Answer:

a. 2.68 > 2.54.

Explanation:

In the above-given question,

given that,

2.68 is greater than 2.54.

2.68 > 2.54.

Answer:

b. 6.37 = 6.73.

Explanation:

In the above-given question,

given that,

6.37 is less than 6.73.

6.37 < 6.73.

Answer:

c. 9.28 = 7.28.

Explanation:

In the above-given question,

given that,

9.28 is equal to 7.28.

9.28 = 7.28.

Answer:

d. 3.02 < 3.2.

Explanation:

In the above-given question,

given that,

3.02 is less than 3.2.

3.02 < 3.2.

Answer:

e. 13.1 = 13.10.

Explanation:

In the above-given question,

given that,

13.1 is equal to 13.10.

13.1 = 13.10.

Answer:

f. 5.8 < 5.92.

Explanation:

In the above-given question,

given that,

5.8 is less than 5.92.

5.8 < 5.92.

Question 4.

Use the symbols <, >, or = to compare. Use pictures as needed to solve.

a. 57 tenths ____=____ 5.7

b. 6.2 ____>____ 6 ones and 2 hundredths

c. 33 tenths ____>____ 33 hundredths

d. 8.39 ____=____ 8\(\frac{39}{10}\)

e. \(\frac{236}{100}\) ____=____ 2.36

f. 3 tenths ___>_____ 22 hundredths

Answer:

a. 57 tenths = 5.7.

Explanation:

In the above-given question,

given that,

57 tenths is equal to 5.7.

57 tenths = 57/10.

57/10 = 5.7.

57 tenths = 5.7.

Answer:

b. 6.2 > 6 ones and 2 hundredths.

Explanation:

In the above-given question,

given that,

6.2 is equal to 6 ones and 2 hundredths.

6 ones and 2 hundredths = 6 + 2/100.

6 + 0.02 = 6.02.

6.2 > 6.02.

Answer:

c. 33 tenths > 33 hundredths.

Explanation:

In the above-given question,

given that,

33 tenths = 33/10.

33/10 = 3.3.

33 hundredths = 33/100.

33/100 = 0.33.

3.3 > 0.33.

Answer:

d. 8.39 = 8\(\frac{39}{10}\).

Explanation:

In the above-given question,

given that,

8\(\frac{39}{10}\) = 8 + 39/100.

39/100 = 0.39.

8 + 0.39 = 8.39.

8.39 = 8.39.

Answer:

e.\(\frac{236}{100}\) = 2.36.

Explanation:

In the above-given question,

given that,

\(\frac{236}{100}\) = 236/100.

236/100 = 2.36.

2.36 = 2.36.

Answer:

f. 3 tenths > 22 hundredths.

Explanation:

In the above-given question,

given that,

3 tenths = 3/10.

3/10 = 0.3.

22 hundredths = 22/100.

22/100 = 0.22.

0.3 = 0.22.

0.3 > 0.22.