Eureka Math Grade 4 Module 6 Lesson 10 Answer Key

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
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-10

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-1

b. 0.6 ____>____ 0.38
Engage NY Math Grade 4 Module 6 Lesson 10 Problem Set Answer Key 2

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-2

c. 0.09 ____<____ 0.9
Engage NY Math Grade 4 Module 6 Lesson 10 Problem Set Answer Key 3

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-3

d. 0.70 ____=____ 0.7
Engage NY Math Grade 4 Module 6 Lesson 10 Problem Set Answer Key 4

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-4

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
Engage NY Math Grade 4 Module 6 Lesson 10 Problem Set Answer Key 5

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-5

b. 12.68 ___<___ 12.8
Engage NY Math Grade 4 Module 6 Lesson 10 Problem Set Answer Key 6

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-6

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-7

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-8

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-9

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-10

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-11

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-Answer Key-11

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
Eureka Math 4th Grade Module 6 Lesson 10 Exit Ticket Answer Key 1

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-12

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
Eureka Math Grade 4 Module 6 Lesson 10 Homework Answer Key 1

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-13

b. 0.6 ___>___ 0.06
Eureka Math Grade 4 Module 6 Lesson 10 Homework Answer Key 2

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
Eureka Math Grade 4 Module 6 Lesson 10 Homework Answer Key 3

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
.Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-14

d. 0.38 ___<___ 0.7
Eureka Math Grade 4 Module 6 Lesson 10 Homework Answer Key 4

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-14

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
Eureka Math Grade 4 Module 6 Lesson 10 Homework Answer Key 5

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-15

b. 18.19 ____<____ 18.3
Eureka Math Grade 4 Module 6 Lesson 10 Homework Answer Key 6

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-16

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-17

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-18

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-19

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-20

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.
Eureka-Math-Grade-4-Module-6-Lesson-10-Answer Key-21

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