Engage NY Eureka Math 4th Grade Module 6 Lesson 8 Answer Key
Eureka Math Grade 4 Module 6 Lesson 8 Sprint Answer Key
A
Write Fractions and Decimals
Answer:
3/10 = 0.3, 3/100 = 0.03, 23/100 = 0.23, 123/100 = 1.23, 423/100 = 4.23, 0.07 = 7/100, 1.07 = 17/100, 0.7 = 7/10, 1.7 = 17/10, 1.74 = 174/100. 4/100 = 0.04, 0.6 = 6/10, 7/100 = 0.07, 0.02 = 2/100, 9/100 = 0.09, 10/100 = 0.1, 10/100 + 2/100 = 0.3, 1/10 + 2/00 = 0.12, 1/10 + 3/100 = 0.13,1/10 + 4/100 =0.14, 1/10 + 9/100 = 0.19, 3 + 1/10 + 9/100 = 3.19,
2 + 1/10 + 6/100 = 2.16, 2 + 0.1 + 0.06 = 2.16, 3 + 0.1 + 0.06 = 3.16, 3 + 0.1 + 0.04 = 3.14, 3 + 0.5 + 0.04 = 3.54, 2 + 0.3 + 0.08 = 2.38, 2 + 0.08 = 2.08, 1 + 0.3 = 1.3, 10 + 0.3 = 10.3, 1 + 0.4 + 0.06 = 1.46, 10 + 0.4 + 0.06 = 10.46, 30 + 0.7 + 0.02 = 30.72, 2 + 3/10 + 0.05 = 2.35, 4 + 0.5 + 3/100 = 4.53, 4 + 3/100 + 0.5 = 4.53, 0.5 + 3/100 + 4 = 4.53, 20 + 0.8 + 0.01 = 20.81, 4 + 9/100 + 2/10 = 4.29, 0.04 + 2 + 0.7 = 2.74, 6/10 + 8 + 2/100 = 8.62, 5/100 + 8 + 0.9 = 8.95, 0.9 + 10 + 4/100 = 10.49.
Explanation:
In the abovegiven question,
given that,
write fractions and decimals.
divide by 10 and 100.
3/10 = 0.3, 3/100 = 0.03, 23/100 = 0.23, 123/100 = 1.23, 423/100 = 4.23, 0.07 = 7/100, 1.07 = 17/100, 0.7 = 7/10, 1.7 = 17/10, 1.74 = 174/100. 4/100 = 0.04, 0.6 = 6/10, 7/100 = 0.07, 0.02 = 2/100, 9/100 = 0.09, 10/100 = 0.1, 10/100 + 2/100 = 0.3, 1/10 + 2/00 = 0.12, 1/10 + 3/100 = 0.13,1/10 + 4/100 =0.14, 1/10 + 9/100 = 0.19, 3 + 1/10 + 9/100 = 3.19,
2 + 1/10 + 6/100 = 2.16, 2 + 0.1 + 0.06 = 2.16, 3 + 0.1 + 0.06 = 3.16, 3 + 0.1 + 0.04 = 3.14, 3 + 0.5 + 0.04 = 3.54, 2 + 0.3 + 0.08 = 2.38, 2 + 0.08 = 2.08, 1 + 0.3 = 1.3, 10 + 0.3 = 10.3, 1 + 0.4 + 0.06 = 1.46, 10 + 0.4 + 0.06 = 10.46, 30 + 0.7 + 0.02 = 30.72, 2 + 3/10 + 0.05 = 2.35, 4 + 0.5 + 3/100 = 4.53, 4 + 3/100 + 0.5 = 4.53, 0.5 + 3/100 + 4 = 4.53, 20 + 0.8 + 0.01 = 20.81, 4 + 9/100 + 2/10 = 4.29, 0.04 + 2 + 0.7 = 2.74, 6/10 + 8 + 2/100 = 8.62, 5/100 + 8 + 0.9 = 8.95, 0.9 + 10 + 4/100 = 10.49.
Question 1:
\(\frac{3}{10}\) = 0.3
Answer:
3/10 = 0.3.
Explanation:
In the abovegiven question,
given that,
\(\frac{3}{10}\)
divide number by 10.
3/10 = 0.3.
Question 2.
\(\frac{3}{100}\) = 0.03.
Answer:
3/100 = 0.03.
Explanation:
In the abovegiven question,
given that,
\(\frac{3}{100}\)
divide number by 100.
3/100 = 0.03.
Question 3.
\(\frac{23}{100}\) = 0.23
Answer:
23/100 = 0.23.
Explanation:
In the abovegiven question,
given that,
\(\frac{23}{100}\)
divide number by 100.
23/100 = 0.23.
Question 4.
1\(\frac{23}{100}\) = 1.23
Answer:
1 x (23/100) = 1.23.
Explanation:
In the abovegiven question,
given that,
1\(\frac{23}{100}\)
divide number by 100.
100 + 23 /100.
123/100 = 1.23.
Question 5.
4\(\frac{23}{100}\) = 4.23
Answer:
4 x (23/100) = 4.23.
Explanation:
In the abovegiven question,
given that,
4\(\frac{23}{100}\)
divide number by 100.
400 + 23 /100.
423/100 = 4.23.
Question 6.
0.07 = 7/100.
Answer:
(7/100) = 0.07.
Explanation:
In the abovegiven question,
given that,
\(\frac{7}{100}\)
divide number by 100.
7/100 = 0.07.
Question 7.
1.07 = 17/100.
Answer:
(17/100) = 1.07.
Explanation:
In the abovegiven question,
given that,
\(\frac{17}{100}\)
divide number by 100.
17/100 = 1.07.
Question 8.
0.7 = 7/10
Answer:
(7/10) = 0.7.
Explanation:
In the abovegiven question,
given that,
\(\frac{7}{10}\)
divide number by 10.
7/10 = 0.7.
Question 9.
1.7 = 17/10.
Answer:
(17/10) = 1.7.
Explanation:
In the abovegiven question,
given that,
\(\frac{17}{10}\)
divide number by 10.
17/10 = 1.7.
Question 10.
1.74 = 174/100.
Answer:
(174/100) = 1.74.
Explanation:
In the abovegiven question,
given that,
\(\frac{174}{100}\)
divide number by 100.
174/100 = 1.74.
Question 11.
\(\frac{4}{100}\) = 0.04
Answer:
(4/100) = 0.04.
Explanation:
In the abovegiven question,
given that,
\(\frac{4}{100}\)
divide number by 100.
4/100 = 0.04.
Question 12.
0.6 = 6/10.
Answer:
(6/10) = 0.6.
Explanation:
In the abovegiven question,
given that,
\(\frac{6}{10}\)
divide number by 10.
6/10 = 0.6.
Question 13.
\(\frac{7}{100}\) = 0.07.
Answer:
(7/100) = 0.07.
Explanation:
In the abovegiven question,
given that,
\(\frac{7}{100}\)
divide number by 100.
7/100 = 0.07.
Question 14.
0.02 = 2/100.
Answer:
(2/100) = 0.02.
Explanation:
In the abovegiven question,
given that,
\(\frac{2}{100}\)
divide number by 100.
2/100 = 0.02.
Question 15.
\(\frac{9}{100}\) = 0.09
Answer:
(9/100) = 0.09.
Explanation:
In the abovegiven question,
given that,
\(\frac{9}{100}\)
divide number by 100.
9/100 = 0.09.
Question 16.
\(\frac{10}{100}\) = 0.1
Answer:
(10/100) = 0.1.
Explanation:
In the abovegiven question,
given that,
\(\frac{10}{100}\)
divide number by 100.
10/100 = 0.1.
Question 17.
\(\frac{10}{100}\) + \(\frac{2}{100}\) = 0.3
Answer:
(10/100) = 0.1.
2/100 = 0.02.
Explanation:
In the abovegiven question,
given that,
\(\frac{10}{100}\)
divide number by 100.
10/100 = 0.1.
2/100 = 0.02.
0.1 + 0.02 = 0.12.
Question 18.
\(\frac{1}{10}\) + \(\frac{2}{100}\) =
Answer:
(1/10) = 0.1.
2/100 = 0.02.
Explanation:
In the abovegiven question,
given that,
\(\frac{1}{10}\)
divide number by 10.
1/10 = 0.1.
2/100 = 0.02.
0.1 + 0.02 = 0.12.
Question 19.
\(\frac{1}{10}\) + \(\frac{3}{100}\) = 0.13
Answer:
(1/10) = 0.1.
3/100 = 0.03.
Explanation:
In the abovegiven question,
given that,
\(\frac{1}{10}\)
divide number by 10.
1/10 = 0.1.
3/100 = 0.03.
0.1 + 0.03 = 0.13.
Question 20.
\(\frac{1}{10}\) + \(\frac{4}{100}\) = 0.14.
Answer:
(1/10) = 0.1.
4/100 = 0.04.
Explanation:
In the abovegiven question,
given that,
\(\frac{1}{10}\)
divide number by 10.
1/10 = 0.1.
4/100 = 0.04.
0.1 + 0.04 = 0.14.
Question 21.
\(\frac{1}{10}\) + \(\frac{9}{100}\) = 0.19
Answer:
(1/10) = 0.1.
9/100 = 0.09.
Explanation:
In the abovegiven question,
given that,
\(\frac{1}{10}\)
divide number by 10.
1/10 = 0.1.
9/100 = 0.09.
0.1 + 0.09 = 0.19.
Question 22.
3 + \(\frac{1}{10}\) + \(\frac{9}{100}\) = 3.19.
Answer:
(1/10) = 0.1.
9/100 = 0.09.
Explanation:
In the abovegiven question,
given that,
\(\frac{1}{10}\)
divide number by 10.
1/10 = 0.1.
9/100 = 0.09.
0.1 + 0.09 = 0.19.
3 + 0.19 = 3.19.
Question 23.
2 + \(\frac{1}{10}\) + \(\frac{6}{100}\) = 2.16
(1/10) = 0.1.
6/100 = 0.06.
Explanation:
In the abovegiven question,
given that,
\(\frac{1}{10}\)
divide number by 10.
1/10 = 0.1.
6/100 = 0.06.
0.1 + 0.06 = 0.16.
2 + 0.16 = 2.16.
Question 24.
2 + 0.1 + 0.06 = 2.16.
Answer:
(1/10) = 0.1.
6/100 = 0.06.
Explanation:
In the abovegiven question,
given that,
\(\frac{1}{10}\)
divide number by 10.
1/10 = 0.1.
6/100 = 0.06.
0.1 + 0.06 = 0.16.
2 + 0.16 = 2.16.
Question 25.
3 + 0.1 + 0.06 = 3.16.
Answer:
(1/10) = 0.1.
6/100 = 0.06.
Explanation:
In the abovegiven question,
given that,
\(\frac{1}{10}\)
divide number by 10.
1/10 = 0.1.
6/100 = 0.06.
0.1 + 0.06 = 0.16.
3 + 0.16 = 3.16.
Question 26.
3 + 0.1 + 0.04 = 3.14
Answer:
(1/10) = 0.1.
4/100 = 0.04.
Explanation:
In the abovegiven question,
given that,
\(\frac{1}{10}\)
divide number by 10.
1/10 = 0.1.
4/100 = 0.04.
0.1 + 0.04 = 0.14.
3 + 0.14 = 3.14.
Question 27.
3 + 0.5 + 0.04 = 3.54.
Answer:
(5/10) = 0.5.
4/100 = 0.04.
Explanation:
In the abovegiven question,
given that,
\(\frac{5}{10}\)
divide number by 10.
5/10 = 0.5.
4/100 = 0.04.
0.5 + 0.04 = 0.54.
3 + 0.54 = 3.54.
Question 28.
2 + 0.3 + 0.08 = 2.38
Answer:
(3/10) = 0.3.
8/100 = 0.08.
Explanation:
In the abovegiven question,
given that,
\(\frac{3}{10}\)
divide number by 10.
3/10 = 0.3.
8/100 = 0.08.
0.3 + 0.08 = 0.38.
2 + 0.38 = 2.38.
Question 29.
2 + 0.08 = 2.08.
Answer:
8/100 = 0.08.
Explanation:
In the abovegiven question,
given that,
\(\frac{8}{100}\)
divide number by 100.
8/100 = 0.08.
2 + 0.08 = 2.08.
Question 30.
1 + 0.3 = 1.3
Answer:
3/10 = 0.3.
Explanation:
In the abovegiven question,
given that,
\(\frac{3}{10}\)
divide number by 10.
3/10 = 0.3.
1 + 0.3 = 1.3.
Question 31.
10 + 0.3 = 10.3
Answer:
3/10 = 0.3.
Explanation:
In the abovegiven question,
given that,
\(\frac{3}{10}\)
divide number by 10.
3/10 = 0.3.
10 + 0.3 = 10.3.
Question 32.
1 + 0.4 + 0.06 = 1.46
Answer:
(4/10) = 0.4.
6/100 = 0.06.
Explanation:
In the abovegiven question,
given that,
\(\frac{4}{10}\)
divide number by 10.
4/10 = 0.4.
6/100 = 0.06.
0.4 + 0.06 = 0.46.
1 + 0.46 = 1.46.
Question 33.
10 + 0.4 + 0.06 = 10.46.
Answer:
(4/10) = 0.4.
6/100 = 0.06.
Explanation:
In the abovegiven question,
given that,
\(\frac{4}{10}\)
divide number by 10.
4/10 = 0.4.
6/100 = 0.06.
0.4 + 0.06 = 0.46.
10 + 0.46 = 10.46.
Question 34.
30 + 0.7 + 0.02 = 30.72
Answer:
(7/10) = 0.7.
2/100 = 0.02.
Explanation:
In the abovegiven question,
given that,
\(\frac{7}{10}\)
divide number by 10.
7/10 = 0.7.
2/100 = 0.02.
0.7 + 0.02 = 0.72.
30 + 0.72 = 30.72.
Question 35.
2 + \(\frac{3}{10}\) + 0.05 = 2.35
Answer:
(3/10) = 0.3.
5/100 = 0.05.
Explanation:
In the abovegiven question,
given that,
\(\frac{3}{10}\)
divide number by 10.
3/10 = 0.3.
5/100 = 0.05.
0.3 + 0.05 = 0.35.
2 + 0.35 = 2.35.
Question 36.
4 + 0.5 + \(\frac{3}{100}\) =
Answer:
(5/10) = 0.5.
3/100 = 0.03.
Explanation:
In the abovegiven question,
given that,
\(\frac{5}{10}\)
divide number by 10.
5/10 = 0.5.
3/100 = 0.03.
0.5 + 0.03 = 0.53.
4 + 0.53 = 4.53.
Question 37.
4 +\(\frac{3}{100}\) + 0.5 = 4.53
Answer:
(5/10) = 0.5.
3/100 = 0.03.
Explanation:
In the abovegiven question,
given that,
\(\frac{5}{10}\)
divide number by 10.
5/10 = 0.5.
3/100 = 0.03.
0.5 + 0.03 = 0.53.
4 + 0.53 = 4.53.
Question 38.
0.5 + \(\frac{3}{100}\) + 4 = 4.53
Answer:
(5/10) = 0.5.
3/100 = 0.03.
Explanation:
In the abovegiven question,
given that,
\(\frac{5}{10}\)
divide number by 10.
5/10 = 0.5.
3/100 = 0.03.
0.5 + 0.03 = 0.53.
4 + 0.53 = 4.53.
Question 39.
20 + 0.8 + 0.01 = 20.81
Answer:
(8/10) = 0.8.
1/100 = 0.01.
Explanation:
In the abovegiven question,
given that,
\(\frac{8}{10}\)
divide number by 10.
8/10 = 0.8.
1/100 = 0.01.
0.8 + 0.01 = 0.81.
20 + 0.81 = 20.81.
Question 40.
4 + \(\frac{9}{100}\) + \(\frac{2}{10}\) = 4.29
Answer:
(2/10) = 0.2.
9/100 = 0.09.
Explanation:
In the abovegiven question,
given that,
\(\frac{2}{10}\)
divide number by 10.
2/10 = 0.2.
9/100 = 0.09.
0.2 + 0.09 = 0.29.
4 + 0.29 = 4.29.
Question 41.
0.04 + 2 + 0.7 = 2.74.
Answer:
(7/10) = 0.7.
4/100 = 0.04.
Explanation:
In the abovegiven question,
given that,
\(\frac{7}{10}\)
divide number by 10.
7/10 = 0.7.
4/100 = 0.04.
0.7 + 0.04 = 0.74.
2 + 0.74 = 2.74.
Question 42.
\(\frac{6}{10}\) + 8 + \(\frac{2}{100}\) = 8.62
Answer:
(6/10) = 0.6.
2/100 = 0.02.
Explanation:
In the abovegiven question,
given that,
\(\frac{6}{10}\)
divide number by 10.
6/10 = 0.6.
2/100 = 0.02.
0.6 + 0.02 = 0.62.
8 + 0.62 = 8.62.
Question 43.
\(\frac{5}{100}\) + 8 + 0.9 = 8.95
Answer:
(9/10) = 0.3.
5/100 = 0.05.
Explanation:
In the abovegiven question,
given that,
\(\frac{9}{10}\)
divide number by 10.
9/10 = 0.9.
5/100 = 0.05.
0.9 + 0.05 = 0.95.
8 + 0.95 = 8.95.
Question 44.
0.9 + 10 + \(\frac{4}{100}\) = 10.94
Answer:
(9/10) = 0.9.
4/100 = 0.04.
Explanation:
In the abovegiven question,
given that,
\(\frac{9}{10}\)
divide number by 10.
9/10 = 0.9.
4/100 = 0.04.
0.9 + 0.04 = 0.94.
10 + 0.94 = 10.94.
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, 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, 2 + 1/10 + 4/100 = 2.14, 2 + 0.1 + 0.04 = 2.14, 3 + 0.1 + 0.04 = 3.14, 3 + 0.1 + 0.06 = 3.16, 3 + 0.5 + 0.06 = 3.56, 2 + 0.4 + 0.09 = 2.49,
2 + 0.06 = 2.06, 1 + 0.5 = 1.5, 10 + 0.5 = 10.5, 1 + 0.2 + 0.04 = 1.24, 10 + 0.2 + 0.04 = 10.24, 30 + 0.9 + 0.06 = 30.96, 2 + 5/10 + 0.07 = 2.57, 4 + 0.7 + 5/100 = 4.75, 4 + 5/100 + 0.7 = 4.75, 0.7 + 5/100 + 4 = 4.75, 20 + 0.6 + 0.01 = 20.61, 6 + 7/100 + 4/10 = 6.47, 0.06 + 2 + 0.9 = 2.96, 8/10 + 6 + 4/100 = 6.84, 3/100 + 8 + 0.7 = 8.73, 0.7 + 10 + 6/100 = 10.76.
Explanation:
In the abovegiven question,
given that,
write fractions and decimals.
divide by 10 and 100.
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, 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, 2 + 1/10 + 4/100 = 2.14, 2 + 0.1 + 0.04 = 2.14, 3 + 0.1 + 0.04 = 3.14, 3 + 0.1 + 0.06 = 3.16, 3 + 0.5 + 0.06 = 3.56, 2 + 0.4 + 0.09 = 2.49,
2 + 0.06 = 2.06, 1 + 0.5 = 1.5, 10 + 0.5 = 10.5, 1 + 0.2 + 0.04 = 1.24, 10 + 0.2 + 0.04 = 10.24, 30 + 0.9 + 0.06 = 30.96, 2 + 5/10 + 0.07 = 2.57, 4 + 0.7 + 5/100 = 4.75, 4 + 5/100 + 0.7 = 4.75, 0.7 + 5/100 + 4 = 4.75, 20 + 0.6 + 0.01 = 20.61, 6 + 7/100 + 4/10 = 6.47, 0.06 + 2 + 0.9 = 2.96, 8/10 + 6 + 4/100 = 6.84, 3/100 + 8 + 0.7 = 8.73, 0.7 + 10 + 6/100 = 10.76.
Question
\(\frac{1}{10}\) = 0.1
Answer:
1/10 = 0.1.
Explanation:
In the abovegiven question,
given that,
\(\frac{1}{10}\)
divide number by 10.
1/10 = 0.1.
Question 2.
\(\frac{2}{10}\) = 0.2
Answer:
2/10 = 0.2.
Explanation:
In the abovegiven question,
given that,
\(\frac{2}{10}\)
divide number by 10.
2/10 = 0.2.
Question 3.
\(\frac{3}{10}\) = 0.3
Answer:
3/10 = 0.3.
Explanation:
In the abovegiven question,
given that,
\(\frac{3}{10}\)
divide number by 10.
3/10 = 0.3.
Question 4.
1\(\frac{7}{10}\) = 1.7
Answer:
17/10 = 1.7.
Explanation:
In the abovegiven question,
given that,
\(\frac{7}{10}\)
divide number by 10.
10 + 7/10.
17/10 = 1.7.
Question 5.
4\(\frac{5}{10}\) = 4.5
Answer:
17/10 = 1.7.
Explanation:
In the abovegiven question,
given that,
\(\frac{17}{10}\)
divide number by 10.
40 + 5/10.
45/10 = 4.5.
Question 6.
0.2 = 2/10
Answer:
2/10 = 0.2.
Explanation:
In the abovegiven question,
given that,
\(\frac{2}{10}\)
divide number by 10.
2/10 = 0.2.
Question 7.
0.3 = 3/10
Answer:
3/10 = 0.3.
Explanation:
In the abovegiven question,
given that,
\(\frac{3}{10}\)
divide number by 10.
3/10 = 0.3.
Question 8.
0.4 = 4/10
Answer:
17/10 = 1.7.
Explanation:
In the abovegiven question,
given that,
\(\frac{7}{10}\)
divide number by 10.
17/10 = 1.7.
Question 9.
0.8 = 8/10
Answer:
8/10 = 0.8.
Explanation:
In the abovegiven question,
given that,
\(\frac{8}{10}\)
divide number by 10.
8/10 = 0.8.
Question 10.
0.6 = 6/10
Answer:
6/10 = 0.6.
Explanation:
In the abovegiven question,
given that,
\(\frac{6}{10}\)
divide number by 10.
6/10 = 0.6.
Question 11.
\(\frac{4}{10}\) = 0.4
Answer:
4/10 = 0.4.
Explanation:
In the abovegiven question,
given that,
\(\frac{4}{10}\)
divide number by 10.
4/10 = 0.4.
Question 12.
0.9 = 9/10
Answer:
9/10 = 0.9.
Explanation:
In the abovegiven question,
given that,
\(\frac{9}{10}\)
divide number by 10.
9/10 = 0.9.
Question 13.
\(\frac{6}{10}\) = 0.6
Answer:
6/10 = 0.6.
Explanation:
In the abovegiven question,
given that,
\(\frac{6}{10}\)
divide number by 10.
6/10 = 0.6.
Question 14.
0.5 = 5/10
Answer:
5/10 = 0.5.
Explanation:
In the abovegiven question,
given that,
\(\frac{5}{10}\)
divide number by 10.
5/10 = 0.5.
Question 15.
\(\frac{9}{10}\) = 0.9
Answer:
9/10 = 0.9.
Explanation:
In the abovegiven question,
given that,
\(\frac{9}{10}\)
divide number by 10.
9/10 = 0.9.
Question 16.
\(\frac{10}{10}\) = 1
Answer:
10/10 = 1.
Explanation:
In the abovegiven question,
given that,
\(\frac{10}{10}\)
divide number by 10.
10/10 = 1.
Question 17.
\(\frac{11}{10}\) =
Answer:
11/10 = 1.1.
Explanation:
In the abovegiven question,
given that,
\(\frac{11}{10}\)
divide number by 10.
11/10 = 1.1.
Question 18.
\(\frac{12}{10}\) = 1.2
Answer:
12/10 = 1.2.
Explanation:
In the abovegiven question,
given that,
\(\frac{12}{10}\)
divide number by 10.
12/10 = 1.2.
Question 19.
\(\frac{17}{10}\) = 1.7
Answer:
17/10 = 1.7.
Explanation:
In the abovegiven question,
given that,
\(\frac{17}{10}\)
divide number by 10.
17/10 = 1.7.
Question 20.
\(\frac{27}{10}\) = 2.7
Answer:
27/10 = 2.7.
Explanation:
In the abovegiven question,
given that,
\(\frac{27}{10}\)
divide number by 10.
27/10 = 2.7.
Question 21.
\(\frac{47}{10}\) = 4.7
Answer:
47/10 = 4.7.
Explanation:
In the abovegiven question,
given that,
\(\frac{47}{10}\)
divide number by 10.
47/10 = 4.7.
Question 22.
3 + \(\frac{34}{10}\) = 6.4
Answer:
34/10 = 3.4.
Explanation:
In the abovegiven question,
given that,
\(\frac{34}{10}\)
divide number by 10.
34/10 = 3.4.
3 + 3.4 = 6.4.
Question 23.
2 + \(\frac{1}{10}\) + \(\frac{4}{100}\) = 2.14
Answer:
1/10 = 0.1.
4/100 = 0.04.
Explanation:
In the abovegiven question,
given that,
\(\frac{1}{10}\)
divide number by 10.
1/10 = 0.1.
4/100 = 0.04.
2 + 0.1 + 0.04 = 2.14.
Question 24.
2 + 0.1 + 0.04 = 2.14
Answer:
1/10 = 0.1.
4/100 = 0.04.
Explanation:
In the abovegiven question,
given that,
\(\frac{1}{10}\)
divide number by 10.
1/10 = 0.1.
4/100 = 0.04.
2 + 0.1 + 0.04 = 2.14.
Question 25.
3 + 0.1 + 0.04 = 3.14
Answer:
1/10 = 0.1.
4/100 = 0.04.
Explanation:
In the abovegiven question,
given that,
\(\frac{1}{10}\)
divide number by 10.
1/10 = 0.1.
4/100 = 0.04.
2 + 0.1 + 0.04 = 2.14.
Question 26.
3 + 0.1 + 0.06 = 3.16
Answer:
1/10 = 0.1.
6/100 = 0.06.
Explanation:
In the abovegiven question,
given that,
\(\frac{1}{10}\)
divide number by 10.
1/10 = 0.1.
6/100 = 0.06.
3 + 0.1 + 0.06 = 3.16.
Question 27.
3 + 0.5 + 0.06 = 3.56
Answer:
5/10 = 0.5.
6/100 = 0.06.
Explanation:
In the abovegiven question,
given that,
\(\frac{5}{10}\)
divide number by 10.
5/10 = 0.5.
6/100 = 0.06.
3 + 0.5 + 0.06 = 3.56.
Question 28.
2 + 0.4 + 0.09 = 2.49
Answer:
4/10 = 0.4.
9/100 = 0.09.
Explanation:
In the abovegiven question,
given that,
\(\frac{4}{10}\)
divide number by 10.
4/10 = 0.4.
9/100 = 0.09.
2 + 0.4 + 0.09 = 2.49.
Question 29.
2 + 0.06 = 2.06
Answer:
6/100 = 0.06.
Explanation:
In the abovegiven question,
given that,
\(\frac{6}{100}\)
divide number by 10.
6/100 = 0.06.
2 + 0.06 = 2.06.
Question 30.
1 + 0.5 = 1.5
Answer:
5/10 = 0.5.
Explanation:
In the abovegiven question,
given that,
\(\frac{5}{10}\)
divide number by 10.
5/10 = 0.5.
1 + 0.5 = 1.5.
Question 31.
10 + 0.5 = 10.5
Answer:
1/10 = 0.1.
4/100 = 0.04.
Explanation:
In the abovegiven question,
given that,
\(\frac{1}{10}\)
divide number by 10.
1/10 = 0.1.
4/100 = 0.04.
2 + 0.1 + 0.04 = 2.14.
Question 32.
1 + 0.2 + 0.04 =
Answer:
2/10 = 0.2.
4/100 = 0.04.
Explanation:
In the abovegiven question,
given that,
\(\frac{2}{10}\)
divide number by 10.
2/10 = 0.2.
4/100 = 0.04.
1 + 0.2 + 0.04 = 1.24.
Question 33.
10 + 0.2 + 0.06 = 10.26
Answer:
2/10 = 0.2.
6/100 = 0.06.
Explanation:
In the abovegiven question,
given that,
\(\frac{2}{10}\)
divide number by 10.
2/10 = 0.2.
6/100 = 0.06.
10 + 0.2 + 0.06 = 10.26.
Question 34.
30 + 0.9 + 0.06 = 30.96
Answer:
9/10 = 0.9.
6/100 = 0.06.
Explanation:
In the abovegiven question,
given that,
\(\frac{9}{10}\)
divide number by 10.
9/10 = 0.9.
6/100 = 0.06.
30 + 0.9 + 0.06 = 30.96.
Question 35.
2 + \(\frac{5}{10}\) + 0.07 = 2.57
Answer:
5/10 = 0.5.
7/100 = 0.07.
Explanation:
In the abovegiven question,
given that,
\(\frac{5}{10}\)
divide number by 10.
5/10 = 0.5.
7/100 = 0.07.
2 + 0.5 + 0.07 = 2.57.
Question 36.
4 + 0.7 + \(\frac{5}{100}\) = 4.75
Answer:
7/10 = 0.7.
5/100 = 0.05.
Explanation:
In the abovegiven question,
given that,
\(\frac{7}{10}\)
divide number by 10.
7/10 = 0.7.
5/100 = 0.05.
4 + 0.7 + 0.05 = 4.75.
Question 37.
4 +\(\frac{5}{100}\) + 0.7 = 4.75
Answer:
7/10 = 0.7.
5/100 = 0.05.
Explanation:
In the abovegiven question,
given that,
\(\frac{7}{10}\)
divide number by 10.
7/10 = 0.7.
5/100 = 0.05.
4 + 0.7 + 0.05 = 4.75.
Question 38.
0.7 + \(\frac{5}{100}\) + 4 = 4.75
Answer:
7/10 = 0.7.
5/100 = 0.05.
Explanation:
In the abovegiven question,
given that,
\(\frac{7}{10}\)
divide number by 10.
7/10 = 0.7.
5/100 = 0.05.
4 + 0.7 + 0.05 = 4.75.
Question 39.
20 + 0.6 + 0.01 = 20.61
Answer:
6/10 = 0.6.
6/100 = 0.06.
Explanation:
In the abovegiven question,
given that,
\(\frac{6}{10}\)
divide number by 10.
6/10 = 0.6.
6/100 = 0.06.
20 + 0.6 + 0.01 = 20.61.
Question 40.
6 + \(\frac{7}{100}\) + \(\frac{4}{10}\) = 6.47
Answer:
4/10 = 0.4.
7/100 = 0.07.
Explanation:
In the abovegiven question,
given that,
\(\frac{4}{10}\)
divide number by 10.
4/10 = 0.4.
7/100 = 0.07.
6 + 0.4 + 0.07 = 6.47.
Question 41.
0.06 + 2 + 0.9 = 2.96
Answer:
9/10 = 0.9.
6/100 = 0.06.
Explanation:
In the abovegiven question,
given that,
\(\frac{9}{10}\)
divide number by 10.
9/10 = 0.9.
6/100 = 0.06.
2 + 0.9 + 0.06 = 2.96.
Question 42.
\(\frac{8}{10}\) + 6 + \(\frac{4}{100}\) = 6.84
Answer:
8/10 = 0.8.
4/100 = 0.04.
Explanation:
In the abovegiven question,
given that,
\(\frac{8}{10}\)
divide number by 10.
8/10 = 0.8.
4/100 = 0.04.
6 + 0.8 + 0.04 = 6.84.
Question 43.
\(\frac{3}{100}\) + 8 + 0.9 = 8.93
Answer:
9/10 = 0.9.
3/100 = 0.03.
Explanation:
In the abovegiven question,
given that,
\(\frac{9}{10}\)
divide number by 10.
9/10 = 0.9.
3/100 = 0.03.
8 + 0.9 + 0.03 = 8.93.
Question 44.
0.7 + 10 + \(\frac{6}{100}\) = 10.76
Answer:
7/10 = 0.7.
6/100 = 0.06.
Explanation:
In the abovegiven question,
given that,
\(\frac{7}{10}\)
divide number by 10.
7/10 = 0.7.
6/100 = 0.06.
10 + 0.7 + 0.06 = 10.76.
Eureka Math Grade 4 Module 6 Lesson 8 Problem Set Answer Key
Question 1.
Use the area model to represent \(\frac{250}{100}\). Complete the number sentence.
a. \(\frac{250}{100}\) = __250____ tenths = ___0___ ones ___25___ tenths = _2_._5___
b. In the space below, explain how you determined your answer to part (a).
Answer:
2.5
Explanation:
In the abovegiven question,
given that,
250/100.
zero gets canceled on both sides.
25/10.
2.5
Question 2.
Draw place value disks to represent the following decompositions:
2 ones = _____20___ tenths
ones  .  tenths  hundredths 
2  2.0  20 tenths \(\frac{20}{10}\)  200 hundredths \(\frac{200}{100}\)

Answer:
2 0nes = 20 tenths.
Explanation:
In the abovegiven question,
given that,
2 ones = 20 tenths.
20 tenths = 20/10.
20/10 = 2.
2 tenths = ____20____ hundredths
ones  .  tenths  hundredths 
2  2.0  20 tenths \(\frac{20}{10}\)  200 hundredths \(\frac{200}{100}\) 
Answer:
2 tenths = 20 hundredths.
Explanation:
In the abovegiven question,
given that,
2 tenths = 20 hundredths.
20 hundredths = 20/100.
20/100 = 0.2.
1 one 3 tenths = __30__ tenths
ones  .  tenths  hundredths 
1  3.0  30 tenths \(\frac{30}{10}\)  300 hundredths \(\frac{200}{100}\) 
Answer:
1 0ne 3 tenths = 30 tenths.
Explanation:
In the abovegiven question,
given that,
1 one 3 tenths = 30 tenths.
30 tenths = 30/10.
30/10 = 3.
2 tenths 3 hundredths = __23__ hundredths
ones  .  tenths  hundredths 
23  2.3  230 tenths \(\frac{30}{10}\)  2300 hundredths \(\frac{2300}{100}\)

Answer:
2 tenths 3 hundredths = 23 hundredths.
Explanation:
In the abovegiven question,
given that,
2 tenths = 23 hundredths.
23 hundredths = 23/100.
23/100 = 0.23.
Question 3.
Decompose the units to represent each number as tenths.
a. 1 = __10__ tenths
b. 2 = __20__ tenths
c. 1.7 = __170___ tenths
d. 2.9 = __290___ tenths
e. 10.7 = __1070___ tenths
f. 20.9 = __2090__ tenths
Answer:
a 1 = 10 tenths.
Explanation:
In the abovegiven question,
given that,
1 tenth = 10/10.
10/10 =1.
Answer:
b. 2 = 20 tenths.
Explanation:
In the abovegiven question,
given that,
2 tenth = 20/10.
20/10 = 2.
Answer:
c 1.7 = 17 tenths.
Explanation:
In the abovegiven question,
given that,
1.7 = 17/10.
17/10 = 1.7.
Answer:
d. 2.9 = 29 tenths.
Explanation:
In the abovegiven question,
given that,
2.9 tenth = 29/10.
29/10 = 2.9.
Answer:
e 10.7 = 107 tenths.
Explanation:
In the abovegiven question,
given that,
10.7 = 107/10.
17/10 = 10.7.
Answer:
f 20.9 = 209 tenths.
Explanation:
In the abovegiven question,
given that,
20.9 = 209/10.
209/10 = 20.9.
Question 4.
Decompose the units to represent each number as hundredths.
a. 1 = ___100__ hundredths
b. 2 = __200___ hundredths
c. 1.7 = __170___ hundredths
d. 2.9 = __290___ hundredths
e. 10.7 = __1070___ hundredths
f. 20.9 = __2090___ hundredths
Answer:
a. 1 = 100 hundredths.
Explanation:
In the abovegiven question,
given that,
1 = 100 hundredths.
100 hundredths = 100/100.
100/100 = 1.
Answer:
b. 2 = 200 hundredths.
Explanation:
In the abovegiven question,
given that,
2 = 200 hundredths.
200 hundredths = 200/100.
200/100 = 2.
Answer:
c. 1.7 = 17 hundredths.
Explanation:
In the abovegiven question,
given that,
1.7 = 17 hundredths.
17 hundredths = 1.7/100.
100/100 = 0.017.
Answer:
d. 2.9 = 29 hundredths.
Explanation:
In the abovegiven question,
given that,
2.9 = 29 hundredths.
29 hundredths = 29/100.
29/100 = 0.29.
Answer:
e. 1 = 100 hundredths.
Explanation:
In the abovegiven question,
given that,
1 = 100 hundredths.
100 hundredths = 100/100.
100/100 = 1.
Answer:
f. 10.7 = 107 hundredths.
Explanation:
In the abovegiven question,
given that,
10.7 = 107 hundredths.
107 hundredths = 107/100.
107/100 = 1.07.
Answer:
g. 20.9 = 209 hundredths.
Explanation:
In the abovegiven question,
given that,
20.9 = 209 hundredths.
209 hundredths = 209/100.
209/100 = 2.09.
Question 5.
Complete the chart. The first one has been done for you.
Decimal  Mixed Number  Tenths 
Hundredths 
2.1  2  21 tenths \(\frac{21}{10}\)  210 hundredths \(\frac{210}{100}\) 
4.2  4  42 tenths \(\frac{42}{10}\)  420 hundredths \(\frac{420}{100}\) 
8.4  8  84 tenths \(\frac{84}{10}\)  840 hundredths \(\frac{840}{100}\) 
10.2  10  102 tenths \(\frac{102}{10}\)  1020 hundredths \(\frac{1020}{100}\) 
75.5  75  755 tenths \(\frac{755}{10}\)  7550hundredths \(\frac{755}{100}\) 
Answer:
2.1 = 21 tenths \(\frac{21}{10}\).
Explanation:
In the abovegiven question,
given that,
21 tenths \(\frac{21}{10}\)
21 = 21/10.
Answer:
4.2 = 42 tenths \(\frac{42}{10}\).
Explanation:
In the abovegiven question,
given that,
42 tenths \(\frac{42}{10}\)
42 = 42/10.
Answer:
8.4 = 84 tenths \(\frac{84}{10}\).
Explanation:
In the abovegiven question,
given that,
84 tenths \(\frac{84}{10}\)
8.4 = 84/10.
Answer:
10.2 = 102 tenths \(\frac{102}{10}\).
Explanation:
In the abovegiven question,
given that,
102 tenths \(\frac{102}{10}\)
102 = 102/10.
Answer:
75.5 = 755 tenths \(\frac{755}{10}\).
Explanation:
In the abovegiven question,
given that,
755 tenths \(\frac{755}{10}\)
75.5 = 755/10.
Eureka Math Grade 4 Module 6 Lesson 8 Exit Ticket Answer Key
Question 1.
a. Draw place value disks to represent the following decomposition:
3 ones 2 tenths = _____32___ tenths
ones  .  tenths  hundredths 
32  3.2  320 tenths \(\frac{320}{10}\)  3200 hundredths \(\frac{320}{100}\) 
Answer:
3 ones 2 tenths = 32.
Explanation:
In the abovegiven question,
given that,
3 ones 2 tenths = 32.
3 + 2 x 10.
3 + 20 = 23.
b. 3 ones 2 tenths = ____32____ hundredths
Answer:
3 ones 2 tenths = 32 hundredths.
Explanation:
In the abovegiven question,
given that,
3 ones 2 tenths = 32 hundredths.
Question 2.
Decompose the units.
a. 2.6 = __26__ tenths
b. 6.1 = __61__ hundredths
Answer:
a. 2.6 = 26 tenths.
Explanation:
In the abovegiven question,
given that,
2.6 = 26/10.
Answer:
b. 6.1 = 610 hundredths.
Explanation:
In the abovegiven question,
given that,
6.1 = 610/10.
Eureka Math Grade 4 Module 6 Lesson 8 Homework Answer Key
Question 1.
Use the area model to represent \(\frac{220}{100}\). Complete the number sentence.
a. \(\frac{220}{100}\) = ___220___ tenths = __2____ ones __20____ tenths = _2_._2___
b. In the space below, explain how you determined your answer to part (a).
Answer:
2.2
Explanation:
In the abovegiven question,
given that,
220/100.
zero gets canceled on both sides.
22/10.
2.2
Question 2.
Draw place value disks to represent the following decompositions:
3 ones = ____30____ tenths
ones  .  tenths  hundredths 
3  3.0  30 tenths \(\frac{30}{10}\)  300 hundredths \(\frac{3}{100}\) 
Answer:
b. 3 ones = 30 tenths.
Explanation:
In the abovegiven question,
given that,
3 ones = 30/10.
30/10 = 3.
3 tenths = ___30_____ hundredths
ones  .  tenths  hundredths 
30  3.0  30 tenths \(\frac{30}{10}\)  300 hundredths \(\frac{3}{100}\) 
Answer:
b. 3 tenths = 30 hundredths.
Explanation:
In the abovegiven question,
given that,
3 tenth = 30/100.
30/10 = 0.3.
2 ones 3 tenths = _230___ tenths
ones  .  tenths  hundredths 
23  2.3  23 tenths \(\frac{30}{10}\)  2300 hundredths \(\frac{230}{100}\) 
Answer:
b. 2 ones = 230 tenths.
Explanation:
In the abovegiven question,
given that,
2 ones = 230/10.
3 tenths 3 hundredths = __330__ hundredths
ones  .  tenths  hundredths 
33  3.3  330 tenths \(\frac{33}{10}\)  3300 hundredths \(\frac{230}{100}\) 
Answer:
b. 3 tenths = 0.3
3 hundredths = 0.03.
Explanation:
In the abovegiven question,
given that,
3 tenth = 0.3.
3 hundredths = 0.03.
0.3 + 0.03 = 0.33.
Question 3.
Decompose the units to represent each number as tenths.
a. 1 = __10___ tenths
b. 2 = __2___ tenths
c. 1.3 = __13___ tenths
d. 2.6 = ___26__ tenths
e. 10.3 = __103___ tenths
f. 20.6 = __206___ tenths
Answer:
a. 1 = 10 tenths.
Explanation:
In the abovegiven question,
given that,
1 = 10/10.
10/10 = 1.
Answer:
b. 2 = 20 tenths.
Explanation:
In the abovegiven question,
given that,
2 = 20/10.
20/10 = 2.
Answer:
c. 1.3 = 13 tenths.
Explanation:
In the abovegiven question,
given that,
1.3 = 13/10.
13/10 = 1.3.
Question 4.
Decompose the units to represent each number as hundredths.
a. 1 = __100___ hundredths
b. 2 = __200___ hundredths
c. 1.3 = __13___ hundredths
d. 2.6 = _26____ hundredths
e. 10.3 = __103___ hundredths
f. 20.6 = _206____ hundredths
Answer:
a. 1 = 100 hundredths.
Explanation:
In the abovegiven question,
given that,
1 = 100 hundredths.
100 hundredths = 100/100.
100/100 = 1.
Answer:
b. 2 = 200 hundredths.
Explanation:
In the abovegiven question,
given that,
2 = 200 hundredths.
200 hundredths = 200/100.
200/100 = 2.
Answer:
c. 1.3 = 130 hundredths.
Explanation:
In the abovegiven question,
given that,
1.3 = 130 hundredths.
130 hundredths = 130/100.
130/100 = 1.3.
Answer:
d. 2.6 = 260 hundredths.
Explanation:
In the abovegiven question,
given that,
2.6 = 260 hundredths.
260 hundredths = 260/100.
260/100 = 2.6
Answer:
e. 10.3 = 103 hundredths.
Explanation:
In the abovegiven question,
given that,
10.3 = 103 hundredths.
103 hundredths = 103/100.
103/100 = 10.3.
Answer:
f. 20.6 = 206 hundredths.
Explanation:
In the abovegiven question,
given that,
20.6 = 206 hundredths.
206 hundredths = 206/100.
206/100 = 2.6.
Question 5.
Complete the chart. The first one has been done for you
Decimal  Mixed Number  Tenths 
Hundredths 
4.1  4  41 tenths \(\frac{41}{10}\)  410 hundredths \(\frac{410}{100}\) 
5.3  5  53 tenths \(\frac{53}{10}\)  530 hundredths \(\frac{530}{100}\) 
9.7  9  97 tenths \(\frac{97}{10}\)  970 hundredths \(\frac{970}{100}\) 
10.9  10  109 tenths \(\frac{109}{10}\)  1090 hundredths \(\frac{1090}{100}\) 
68.5  68  685 tenths \(\frac{685}{10}\)  685 hundredths \(\frac{6850}{100}\) 
Answer:
4.1
Explanation:
In the abovegiven question,
given that,
41 tenths \(\frac{41}{10}\)
41/10.
4.1
Answer:
5.3
Explanation:
In the abovegiven question,
given that,
53 tenths \(\frac{53}{10}\)
53/10.
5.3
Answer:
9.7
Explanation:
In the abovegiven question,
given that,
97 tenths \(\frac{97}{10}\)
97/10.
9.7
Answer:
10.9
Explanation:
In the abovegiven question,
given that,
109 tenths \(\frac{109}{10}\)
109/10.
10.9
Answer:
68.5.
Explanation:
In the abovegiven question,
given that,
685 tenths \(\frac{685}{10}\)
685/10.
68.5.