Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (2024)

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
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (1)

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.
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (2)

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
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (3)

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.
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (4)

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?
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (5)
b. What fraction of a meter is 1 centimeter?
c. In fraction form, express the length of the shaded portion of the meter stick.
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (6)
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.
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (7)
\(\frac{1}{10}\)m + \(\frac{3}{100}\)m = \(\frac{13}{100}\)m = 0.13m
b. Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (8)

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
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (9)

c. Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (10)

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.
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (11)

Question 4.
On each meter stick, shade in the amount shown. Then, write the equivalent decimal.
a. \(\frac{8}{10}\)m Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (12)

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 Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (13)

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 Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (14)

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
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (15)

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
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (16)

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
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (17)

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 Answer Key (18)

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
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (19)

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
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (20)

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 Answer Key (21)

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?
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (22)
b. What fraction of a meter is 3 centimeters?
c. In fraction form, express the length of the shaded portion of the meter stick.
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (23)
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.
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (24)
\(\frac{1}{10}\) m + \(\frac{3}{100}\) m = \(\frac{13}{100}\) m = 0.13 m
b. Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (25)

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
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (26)
c. Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (27)

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
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (28)

Question 4.
On each meter stick, shade in the amount shown. Then, write the equivalent decimal.
a. \(\frac{9}{10}\) m Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (29)
b. \(\frac{15}{100}\) m Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (30)

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

Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (31)
c. \(\frac{41}{100}\) m Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (32)

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
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (33)

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
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (34)

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
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (35)

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
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (36)

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
Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (37)

Eureka Math Grade 4 Module 6 Lesson 4 Answer Key (2024)

FAQs

What grade does Eureka math go to? ›

Eureka Math offers a full complement of Prekindergarten through Grade 12 print materials including Teacher Editions, student workbooks, and more. Spanish language editions are available for Grades K–8.

What is mathematics for students grade 4? ›

In fourth grade, math instruction should focus on number theory and systems, algebraic thinking, geometrical figures and objects, measurement of length, weight, capacity, time, and temperature, and data analysis and probability.

What's the hardest math class? ›

The most difficult math courses I have encountered thus far have included advanced calculus, abstract algebra, and topology (and they will generally only continue to get more challenging each semester).

What is the hardest math quest? ›

10 World's Hardest Math Problems With Solutions and Examples That Will Blow Your Mind
  • The Four Color Theorem.
  • Fermat's Last Theorem.
  • The Monty Hall Problem.
  • The Travelling Salesman Problem.
  • The Twin Prime Conjecture.
  • The Poincaré Conjecture.
  • The Goldbach Conjecture.
  • The Riemann Hypothesis.
Aug 31, 2023

Is 4th grade hard? ›

Fourth grade is a challenging year for lots of kids. Kids have more responsibilities at school than in earlier grades. Friendships get more important (and complicated) in fourth grade.

Is Grade 4 maths ok? ›

Regardless of the subject you want to study, the majority of university courses look for at least a grade 4 or 5 in English and maths. Some university courses ask for specific subjects with certain grades at GCSE, so check directly with universities if you're in doubt.

Is 4th grade math easy? ›

In fourth grade, the concepts are more complicated. Students spend a lot of time exploring math concepts like: Multi-digit multiplication, like 26 × 10. Two- and three-digit division, like 144 ÷ 12.

What math is 8th grade level? ›

Eighth-grade math is typically a course in pre-algebra to help prepare students for high school algebra.

What grade level is go math for? ›

Go Math! (K-6) on Ed is an easy-to-implement core curriculum with an effective instructional approach that includes robust differentiation and assessment resources that engage all levels of learners and support all levels of teachers, from novice to master.

What is the hardest math in 5th grade? ›

Some of the hardest math problems for fifth graders involve multiplying: multiplying using square models, multiplying fractions and whole numbers using expanded form, and multiplying fractions using number lines.

What is Eureka Math grade 1? ›

Eureka Math Learn serves as a student's in-class companion where they show their thinking, share what they know, and watch their knowledge build every day. Learn assembles the daily classwork-Application Problems, Exit Tickets, Problem Sets, templates-in an easily stored and navigated volume.

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