Eureka Math

Engage NY Eureka Math 4th Grade Module 6 Lesson 16 Answer Key

Eureka Math Grade 4 Module 6 Lesson 16 Sprint Answer Key

A
Add Decimal Fractions

Answer:
1/10 = 0.1, 1/100 = 0.01, 1/10 + 1/100 = 0.11, 3/10 = 0.3, 3/100 = 0.03, 3/10 + 3/100 = 0.33, 5/10 = 0.5, 5/100 = 0.05, 5/10 + 5/100 = 0.55, 7/10 = 0.7, 9/100 = 0.09, 7/10 + 9/100 = 0.79, 9/100 + 7/10 = 0.79, 4/10 = 0.4, 6/100 = 0.06, 4/10 + 6/100 = 0.46, 4/100 + 6/10 = 0.64, 8/10 + 5/100 = 0.85, 9/10 + 5/100 =0.59, 9/10 + 2/100 = 0.92, 1/100 + 8/10 = 0.81, 4/100 + 1/10 = 0.14, 7/100 + 4/10 = 0.47, 2/10 = 0.2, 20/100 = 0.2, 2/10 + 20/100 = 0.22, 3/10 = 0.3, 30/100 = 0.03, 3/10 + 30/100 = 0.33, 5/10 + 20/100 = 0.7, 8/10 + 10/100 = 0.9, 8/10 + 20/100 = 0.10, 8/10 + 30/100 = 0.11, 8/10 + 50/100 = 0.13, 9/10 + 40/100 = 0.13, 9/10 + 47/100 = 1.37, 7/10 + 50/100 = 0.12, 7/10 + 59/100 = 1.29, 6/10 + 60/100 = 0.12, 6/10 + 64/100 = 1.24, 65/100 + 6/10 = 1.25, 91/100 + 7/10 = 1.61, 8/10 + 73/100 = 1.53, 9/10 + 82/100 = 1.72, 98/100 + 9/10 = 1.88.

Explanation:
In the above-given question,
given that,
Add decimal fractions.
1/10 = 0.1, 1/100 = 0.01, 1/10 + 1/100 = 0.11, 3/10 = 0.3, 3/100 = 0.03, 3/10 + 3/100 = 0.33, 5/10 = 0.5, 5/100 = 0.05, 5/10 + 5/100 = 0.55, 7/10 = 0.7, 9/100 = 0.09, 7/10 + 9/100 = 0.79, 9/100 + 7/10 = 0.79, 4/10 = 0.4, 6/100 = 0.06, 4/10 + 6/100 = 0.46, 4/100 + 6/10 = 0.64, 8/10 + 5/100 = 0.85, 9/10 + 5/100 =0.59, 9/10 + 2/100 = 0.92, 1/100 + 8/10 = 0.81, 4/100 + 1/10 = 0.14, 7/100 + 4/10 = 0.47, 2/10 = 0.2, 20/100 = 0.2, 2/10 + 20/100 = 0.22, 3/10 = 0.3, 30/100 = 0.03, 3/10 + 30/100 = 0.33, 5/10 + 20/100 = 0.7, 8/10 + 10/100 = 0.9, 8/10 + 20/100 = 0.10, 8/10 + 30/100 = 0.11, 8/10 + 50/100 = 0.13, 9/10 + 40/100 = 0.13, 9/10 + 47/100 = 1.37, 7/10 + 50/100 = 0.12, 7/10 + 59/100 = 1.29, 6/10 + 60/100 = 0.12, 6/10 + 64/100 = 1.24, 65/100 + 6/10 = 1.25, 91/100 + 7/10 = 1.61, 8/10 + 73/100 = 1.53, 9/10 + 82/100 = 1.72, 98/100 + 9/10 = 1.88.

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.
\(\frac{1}{100}\) = 0.01

Answer:
1/100 = 0. 01.

Explanation:
In the above-given question,
given that,
\(\frac{1}{100}\).
1/100 = 0.01.

Question 3.
\(\frac{1}{10}\) + \(\frac{1}{100}\) = 0.11

Answer:
1/10  + 1/100 = 0.11.

Explanation:
In the above-given question,
given that,
\(\frac{1}{10}\) + \(\frac{1}{100}\)
1/10  + 1/100.
0.1 + 0.01.
0.11.

Question 4.
\(\frac{3}{10}\) = 0.3

Answer:
3/10 = 0.3.

Explanation:
In the above-given question,
given that,
\(\frac{3}{10}\).
3/10 = 0.3.

Question 5.
\(\frac{3}{100}\)

Answer:
3/100 = 0. 03.

Explanation:
In the above-given question,
given that,
\(\frac{3}{100}\).
3/100 = 0.03.

Question 6.
\(\frac{3}{10}\) + \(\frac{3}{100}\) = 0.33

Answer:
3/10  + 3/100 = 0.33.

Explanation:
In the above-given question,
given that,
\(\frac{3}{10}\) + \(\frac{3}{100}\)
3/10  + 3/100.
0.3 + 0.03.
0.33.

Question 7.
\(\frac{5}{10}\) = 0.5

Answer:
5/10 = 0.5.

Explanation:
In the above-given question,
given that,
\(\frac{5}{10}\).
5/10 = 0.5.

Question 8.
\(\frac{5}{100}\) = 0.05

Answer:
5/100 = 0.05.

Explanation:
In the above-given question,
given that,
\(\frac{5}{100}\).
5/100 = 0.05.

Question 9.
\(\frac{5}{10}\) + \(\frac{5}{100}\) = 0.55

Answer:
5/10 + 5/100 = 0.55.

Explanation:
In the above-given question,
given that,
\(\frac{5}{10}\) + \(\frac{5}{100}\).
5/10 + 5/100.
0.5 + 0.05.
0.55.

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

Answer:
7/10 = 0.7.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\).
7/10 = 0.7.

Question 11.
\(\frac{9}{100}\) = 0.09

Answer:
9/100 = 0.09.

Explanation:
In the above-given question,
given that,
\(\frac{9}{100}\).
9/100 = 0.09.

Question 12.
\(\frac{7}{10}\) + \(\frac{9}{100}\) = 0.79

Answer:
7/10 + 9/100 = 0.79.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\) + \(\frac{9}{100}\).
7/10 + 9/100.
0.7 + 0.09.
0.79.

Question 13.
\(\frac{9}{100}\) + \(\frac{7}{10}\) = 0.79

Answer:
7/10 + 9/100 = 0.79.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\) + \(\frac{9}{100}\).
7/10 + 9/100.
0.7 + 0.09.
0.79.

Question 14.
\(\frac{4}{10}\) = 0.4

Answer:
4/10 = 0.4.

Explanation:
In the above-given question,
given that,
\(\frac{4}{10}\).
4/10 = 0.4.

Question 15.
\(\frac{6}{100}\) = 0.06

Answer:
6/100 = 0.06

Explanation:
In the above-given question,
given that,
\(\frac{6}{100}\).
6/100 = 0.06.

Question 16.
\(\frac{4}{10}\) + \(\frac{6}{100}\) = 0.46

Answer:
4/10 + 6/100 = 0.46.

Explanation:
In the above-given question,
given that,
\(\frac{4}{10}\) + \(\frac{6}{100}\).
4/10 = 0.4.
6/100 = 0.06.
0.46.

Question 17.
\(\frac{4}{100}\) + \(\frac{6}{10}\) = 0.64

Answer:
6/10 + 4/100 = 0.64.

Explanation:
In the above-given question,
given that,
\(\frac{6}{10}\) + \(\frac{4}{100}\).
6/10 = 0.4.
6/100 = 0.06.
0.64.

Question 18.
\(\frac{8}{10}\) + \(\frac{5}{100}\) = 0.85

Answer:
8/10 + 5/100 = 0.46.

Explanation:
In the above-given question,
given that,
\(\frac{8}{10}\) + \(\frac{5}{100}\).
8/10 = 0.8.
5/100 = 0.05.
0.85.

Question 19.
\(\frac{9}{10}\) + \(\frac{2}{100}\) = 0.92

Answer:
9/10 + 2/100 = 0.92.

Explanation:
In the above-given question,
given that,
\(\frac{9}{10}\) + \(\frac{2}{100}\).
9/10 = 0.9.
2/100 = 0.02.
0.92.

Question 20.
\(\frac{1}{100}\) + \(\frac{8}{10}\) = 0.81

Answer:
8/10 + 1/100 = 0.81.

Explanation:
In the above-given question,
given that,
\(\frac{8}{10}\) + \(\frac{1}{100}\).
8/10 = 0.8.
1/100 = 0.01.
0.81.

Question 21.
\(\frac{4}{100}\) + \(\frac{1}{10}\) = 0.14

Answer:
1/10 + 4/100 = 0.14.

Explanation:
In the above-given question,
given that,
\(\frac{1}{10}\) + \(\frac{4}{100}\).
1/10 = 0.1.
4/100 = 0.04.
0.14.

Question 22.
\(\frac{7}{100}\) + \(\frac{4}{10}\) = 0.47

Answer:
4/10 + 7/100 = 0.47.

Explanation:
In the above-given question,
given that,
\(\frac{4}{10}\) + \(\frac{7}{100}\).
4/10 = 0.4.
7/100 = 0.07.
0.47.

Question 23.
\(\frac{2}{10}\) = 0.2.

Answer:
2/10 = 0.2.

Explanation:
In the above-given question,
given that,
\(\frac{2}{10}\).
2/10 = 0.2.

Question 24.
\(\frac{20}{100}\) = 0.2

Answer:
20/100 = 0.2.

Explanation:
In the above-given question,
given that,
\(\frac{20}{100}\).
20/100 = 0.2.

Question 25.
\(\frac{2}{10}\) + \(\frac{20}{100}\) = 0.22.

Answer:
2/10 + 20/100 = 0.4.

Explanation:
In the above-given question,
given that,
\(\frac{2}{10}\) + \(\frac{20}{100}\).
2/10 = 0.2.
20/100 = 0.2.
0.4.

Question 26.
\(\frac{3}{10}\) = 0.3

Answer:
3/10 = 0.3.

Explanation:
In the above-given question,
given that,
\(\frac{3}{10}\).
3/10 = 0.3.

Question 27.
\(\frac{30}{100}\) = 0.3

Answer:
30/100 = 0.3.

Explanation:
In the above-given question,
given that,
\(\frac{30}{100}\).
30/100 = 0.3.

Question 28.
\(\frac{3}{10}\) + \(\frac{30}{100}\) = 0.6

Answer:
3/10 + 30/100 = 0.6.

Explanation:
In the above-given question,
given that,
\(\frac{3}{10}\) + \(\frac{30}{100}\).
3/10 = 0.3.
30/100 = 0.3.
0.6.

Question 29.
\(\frac{5}{10}\) + \(\frac{20}{100}\) = 0.7

Answer:
5/10 + 20/100 = 0.7.

Explanation:
In the above-given question,
given that,
\(\frac{5}{10}\) + \(\frac{20}{100}\).
5/10 = 0.5.
20/100 = 0.2.
0.7.

Question 30.
\(\frac{8}{10}\) + \(\frac{20}{100}\) = 1.0

Answer:
8/10 + 20/100 = 1.0.

Explanation:
In the above-given question,
given that,
\(\frac{8}{10}\) + \(\frac{20}{100}\).
8/10 = 0.8.
20/100 = 0.2.
1.0.

Question 31.
\(\frac{8}{10}\) + \(\frac{20}{100}\) = 1.0

Answer:
8/10 + 20/100 = 1.0.

Explanation:
In the above-given question,
given that,
\(\frac{8}{10}\) + \(\frac{20}{100}\).
8/10 = 0.8.
20/100 = 0.2.
1.0.

Question 32.
\(\frac{8}{10}\) + \(\frac{30}{100}\) = 1.1

Answer:
8/10 + 30/100 = 1.1.

Explanation:
In the above-given question,
given that,
\(\frac{8}{10}\) + \(\frac{30}{100}\).
8/10 = 0.8.
30/100 = 0.3.
1.1.

Question 33.
\(\frac{8}{10}\) + \(\frac{50}{100}\) = 1.3

Answer:
8/10 + 50/100 = 1.3.

Explanation:
In the above-given question,
given that,
\(\frac{8}{10}\) + \(\frac{50}{100}\).
8/10 = 0.8.
50/100 = 0.5.
1.3.

Question 34.
\(\frac{9}{10}\) + \(\frac{40}{100}\) = 1.3

Answer:
9/10 + 40/100 = 1.3.

Explanation:
In the above-given question,
given that,
\(\frac{9}{10}\) + \(\frac{40}{100}\).
9/10 = 0.9.
40/100 = 04.
1.3.

Question 35.
\(\frac{9}{10}\) + \(\frac{47}{100}\) = 1.37.

Answer:
9/10 + 47/100 = 1.37.

Explanation:
In the above-given question,
given that,
\(\frac{9}{10}\) + \(\frac{47}{100}\).
9/10 = 0.9.
47/100 = 0.47.
1.37.

Question 36.
\(\frac{7}{10}\) + \(\frac{59}{100}\) = 1.29

Answer:
7/10 + 59/100 = 1.29.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\) + \(\frac{59}{100}\).
7/10 = 0.7.
59/100 = 0.59.
1.29.

Question 37.
\(\frac{7}{10}\) + \(\frac{59}{100}\) = 1.29

Answer:
7/10 + 59/100 = 1.29.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\) + \(\frac{59}{100}\).
7/10 = 0.7.
59/100 = 0.59.
1.29.

Question 38.
\(\frac{6}{10}\) + \(\frac{60}{100}\) = 1.2

Answer:
6/10 + 60/100 = 1.2.

Explanation:
In the above-given question,
given that,
\(\frac{6}{10}\) + \(\frac{60}{100}\).
6/10 = 0.6.
60/100 = 0.6.
1.2.

Question 39.
\(\frac{6}{10}\) + \(\frac{64}{100}\) = 1.24

Answer:
6/10 + 64/100 = 1.24.

Explanation:
In the above-given question,
given that,
\(\frac{6}{10}\) + \(\frac{64}{100}\).
6/10 = 0.6.
64/100 = 0.64.
1.24.

Question 40.
\(\frac{65}{100}\) + \(\frac{6}{10}\) = 1.25

Answer:
6/10 + 65/100 = 1.25.

Explanation:
In the above-given question,
given that,
\(\frac{6}{10}\) + \(\frac{65}{100}\).
6/10 = 0.6.
65/100 = 0.65.
1.25.

Question 41.
\(\frac{91}{100}\) + \(\frac{7}{10}\) = 1.61

Answer:
7/10 + 91/100 = 1.61.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\) + \(\frac{91}{100}\).
7/10 = 0.7.
91/100 = 0.91.
1.61.

Question 42.
\(\frac{8}{10}\) + \(\frac{73}{100}\) = 1.53

Answer:
8/10 + 73/100 = 1.53.

Explanation:
In the above-given question,
given that,
\(\frac{8}{10}\) + \(\frac{73}{100}\).
8/10 = 0.8.
73/100 = 0.73.
1.53.

Question 43.
\(\frac{9}{10}\) + \(\frac{82}{100}\) = 1.72

Answer:
9/10 + 82/100 = 1.72.

Explanation:
In the above-given question,
given that,
\(\frac{9}{10}\) + \(\frac{82}{100}\).
9/10 = 0.9.
82/100 = 0.82.
1.72.

Question 44.
\(\frac{98}{100}\)+ \(\frac{9}{10}\) = 1.88

Answer:
9/10 + 98/100 = 1.88.

Explanation:
In the above-given question,
given that,
\(\frac{9}{10}\) + \(\frac{98}{100}\).
9/10 = 0.9.
98/100 = 0.98.
1.88.

B
Add Decimal Fractions

Answer:
2/10 = 0.2, 2/100 = 0.02, 2/10 + 2/100 = 0.22, 4/10 = 0.4, 4/100 = 0.04, 4/10 + 4/100 = 0.44, 6/10 = 0.6, 6/100 = 0.06, 6/10 + 6/100 = 0.66, 4/10 = 0.4, 8/100 = 0.08, 4/10 + 8/100 = 0.48, 8/100 + 4/10 = 0.48, 5/10 = 0.5, 7/100 = 0.07, 5/10 + 7/100 = 0.57, 7/100 + 5/10 = 0.57, 9/10 + 6/100 = 0.96, 8/10 + 3/100 = 0.83, 1/100 +7/10 = 0.71, 3/100 + 1/10 = 0.13, 8/100 + 3/10 = 0.38, 1/10 = 0.1, 10/100 = 0.1, 1/10 + 10/100 = 0.2, 4/10 = 0.4, 40/100 = 0.4, 4/10 + 40/100 = 0.8, 5/10 + 30/100 = 0.8, 7/10 + 20/100 = 0.9, 7/10 + 30/100 = 1.0, 7/10 + 40/100 = 1.1, 7/10 + 60/100 = 1.3, 9/10 +30/100 = 1.2, 9/10 + 37/100 = 1.27, 8/10 + 40/100 = 1.2, 8/10 + 49/100 = 1.29, 7/10 + 70/100 = 1.4, 7/10 + 76/100 = 1.46, 78/100 + 7/10 = 1.48, 81/100 + 7/10 = 1.51, 9/10 + 73/100 = 1.63, 9/10 + 84/100 = 1.74, 84/100 + 8/10 = 1.64.

Explanation:
In the above-given question,
given that,
Add decimal fractions.
2/10 = 0.2, 2/100 = 0.02, 2/10 + 2/100 = 0.22, 4/10 = 0.4, 4/100 = 0.04, 4/10 + 4/100 = 0.44, 6/10 = 0.6, 6/100 = 0.06, 6/10 + 6/100 = 0.66, 4/10 = 0.4, 8/100 = 0.08, 4/10 + 8/100 = 0.48, 8/100 + 4/10 = 0.48, 5/10 = 0.5, 7/100 = 0.07, 5/10 + 7/100 = 0.57, 7/100 + 5/10 = 0.57, 9/10 + 6/100 = 0.96, 8/10 + 3/100 = 0.83, 1/100 +7/10 = 0.71, 3/100 + 1/10 = 0.13, 8/100 + 3/10 = 0.38, 1/10 = 0.1, 10/100 = 0.1, 1/10 + 10/100 = 0.2, 4/10 = 0.4, 40/100 = 0.4, 4/10 + 40/100 = 0.8, 5/10 + 30/100 = 0.8, 7/10 + 20/100 = 0.9, 7/10 + 30/100 = 1.0, 7/10 + 40/100 = 1.1, 7/10 + 60/100 = 1.3, 9/10 +30/100 = 1.2, 9/10 + 37/100 = 1.27, 8/10 + 40/100 = 1.2, 8/10 + 49/100 = 1.29, 7/10 + 70/100 = 1.4, 7/10 + 76/100 = 1.46, 78/100 + 7/10 = 1.48, 81/100 + 7/10 = 1.51, 9/10 + 73/100 = 1.63, 9/10 + 84/100 = 1.74, 84/100 + 8/10 = 1.64.

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.
\(\frac{2}{100}\) = 0.02.

Answer:
2/100 = 0.02.

Explanation:
In the above-given question,
given that,
\(\frac{2}{100}\).
2/100 = 0.02.

Question 3.
\(\frac{2}{10}\) + \(\frac{2}{100}\) = 0.22.

Answer:
2/10 + 2/100 = 0.22.

Explanation:
In the above-given question,
given that,
\(\frac{2}{10}\) + \(\frac{2}{100}\).
2/10 + 2/100 = 0.22.

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

Answer:
4/10 = 0.4.

Explanation:
In the above-given question,
given that,
\(\frac{4}{10}\).
4/10 = 0.4.

Question 5.
\(\frac{4}{100}\) = 0.04

Answer:
4/100 = 0.04.

Explanation:
In the above-given question,
given that,
\(\frac{4}{100}\).
4/100 = 0.04.

Question 6.
\(\frac{4}{10}\) + \(\frac{4}{100}\) = 0.44

Answer:
4/10 + 4/100 = 0.44.

Explanation:
In the above-given question,
given that,
\(\frac{4}{10}\) + \(\frac{4}{100}\).
4/10 + 4/100 = 0.44.

Question 7.
\(\frac{6}{10}\) = 0.6

Answer:
6/10 = 0.6.

Explanation:
In the above-given question,
given that,
\(\frac{6}{10}\).
6/10 = 0.6.

Question 8.
\(\frac{6}{100}\) = 0.06

Answer:
6/100 = 0.06.

Explanation:
In the above-given question,
given that,
\(\frac{6}{100}\).
6/100 = 0.06.

Question 9.
\(\frac{6}{10}\) + \(\frac{6}{100}\) = 0.66

Answer:
6/10 + 6/100 = 0.66.

Explanation:
In the above-given question,
given that,
\(\frac{6}{10}\) + \(\frac{6}{100}\).
6/10 + 6/100 = 0.66.

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

Answer:
4/10 = 0.4.

Explanation:
In the above-given question,
given that,
\(\frac{4}{10}\).
4/10 = 0.4.

Question 11.
\(\frac{8}{100}\) = 0.08

Answer:
8/100 = 0.08.

Explanation:
In the above-given question,
given that,
\(\frac{8}{100}\).
8/100 = 0.08.

Question 12.
\(\frac{4}{10}\) + \(\frac{8}{100}\) = 0.48

Answer:
4/10 + 8/100 = 0.48.

Explanation:
In the above-given question,
given that,
\(\frac{4}{10}\) + \(\frac{8}{100}\).
4/10 + 8/100 = 0.48.

Question 13.
\(\frac{8}{100}\) + \(\frac{4}{10}\) = 0.48

Answer:
4/10 + 8/100 = 0.48.

Explanation:
In the above-given question,
given that,
\(\frac{4}{10}\) + \(\frac{8}{100}\).
4/10 + 8/100 = 0.48.

Question 14.
\(\frac{5}{10}\) = 0.5

Answer:
5/10 = 0.5.

Explanation:
In the above-given question,
given that,
\(\frac{5}{10}\).
5/10 = 0.5.

Question 15.
\(\frac{7}{100}\) = 0.07.

Answer:
7/100 = 0.07.

Explanation:
In the above-given question,
given that,
\(\frac{7}{100}\).
7/100 = 0.07.

Question 16.
\(\frac{5}{10}\) + \(\frac{7}{100}\) = 0.57.

Answer:
5/10 + 7/100 = 0.57.

Explanation:
In the above-given question,
given that,
\(\frac{5}{10}\) + \(\frac{7}{100}\).
5/10 + 7/100 = 0.57.

Question 17.
\(\frac{7}{100}\) + \(\frac{5}{10}\) = 0.57

Answer:
5/10 + 7/100 = 0.57.

Explanation:
In the above-given question,
given that,
\(\frac{5}{10}\) + \(\frac{7}{100}\).
5/10 + 7/100 = 0.57.

Question 18.
\(\frac{9}{10}\) + \(\frac{6}{100}\) = 0.96

Answer:
9/10 + 6/100 = 0.96.

Explanation:
In the above-given question,
given that,
\(\frac{9}{10}\) + \(\frac{6}{100}\).
9/10 + 6/100 = 0.96.

Question 19.
\(\frac{8}{10}\) + \(\frac{3}{100}\) = 0.83

Answer:
8/10 + 3/100 = 0.83.

Explanation:
In the above-given question,
given that,
\(\frac{8}{10}\) + \(\frac{3}{100}\).
8/10 + 3/100 = 0.83.

Question 20.
\(\frac{1}{100}\) + \(\frac{7}{10}\) = 0.71

Answer:
7/10 + 1/100 = 0.71.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\) + \(\frac{1}{100}\).
7/10 + 1/100 = 0.71.

Question 21.
\(\frac{3}{100}\) + \(\frac{1}{10}\) = 0.13

Answer:
1/10 + 3/100 = 0.13.

Explanation:
In the above-given question,
given that,
\(\frac{1}{10}\) + \(\frac{3}{100}\).
1/10 + 3/100 = 0.13.

Question 22.
\(\frac{8}{100}\) + \(\frac{3}{10}\) = 0.38

Answer:
3/10 + 8/100 = 0.38.

Explanation:
In the above-given question,
given that,
\(\frac{3}{10}\) + \(\frac{8}{100}\).
3/10 + 8/100 = 0.38.

Question 23.
\(\frac{1}{10}\) = 0.1

Answer:
1/10 = 0.1.

Explanation:
In the above-given question,
given that,
\(\frac{1}{10}\).
1/10 = 0.1.

Question 24.
\(\frac{10}{100}\) = 0.1

Answer:
10/100 = 0.1.

Explanation:
In the above-given question,
given that,
\(\frac{10}{100}\).
10/100 = 0.1.

Question 25.
\(\frac{1}{10}\) + \(\frac{10}{100}\) = 0.11

Answer:
1/10 + 10/100 = 0.11.

Explanation:
In the above-given question,
given that,
\(\frac{1}{10}\) + \(\frac{10}{100}\).
1/10 + 10/100 = 0.11.

Question 26.
\(\frac{4}{10}\) = 0.4

Answer:
4/10 = 0.4.

Explanation:
In the above-given question,
given that,
\(\frac{4}{10}\).
4/10 = 0.4.

Question 27.
\(\frac{40}{100}\) = 0.4

Answer:
40/100 = 0.4.

Explanation:
In the above-given question,
given that,
\(\frac{40}{100}\).
40/100 = 0.4.

Question 28.
\(\frac{4}{10}\) + \(\frac{40}{100}\) = 0.44

Answer:
4/10 + 40/100 = 0.44.

Explanation:
In the above-given question,
given that,
\(\frac{4}{10}\) + \(\frac{40}{100}\).
4/10 + 40/100 = 0.44.

Question 29.
\(\frac{5}{10}\) + \(\frac{30}{100}\) = 0.53

Answer:
5/10 + 30/100 = 0.53.

Explanation:
In the above-given question,
given that,
\(\frac{5}{10}\) + \(\frac{30}{100}\).
5/10 + 30/100 = 0.53.

Question 30.
\(\frac{7}{10}\) + \(\frac{20}{100}\) = 0.72

Answer:
7/10 + 20/100 = 0.72.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\) + \(\frac{20}{100}\).
7/10 + 20/100 = 0.72.

Question 31.
\(\frac{7}{10}\) + \(\frac{30}{100}\) = 0.73

Answer:
7/10 + 30/100 = 0.73.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\) + \(\frac{30}{100}\).
7/10 + 30/100 = 0.73.

Question 32.
\(\frac{7}{10}\) + \(\frac{40}{100}\) = 1.1

Answer:
7/10 + 40/100 = 1.1.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\) + \(\frac{40}{100}\).
7/10 + 40/100 = 1.1.

Question 33.
\(\frac{7}{10}\) + \(\frac{60}{100}\) = 1.3

Answer:
7/10 + 60/100 = 1.3.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\) + \(\frac{60}{100}\).
7/10 + 60/100 = 1.3.

Question 34.
\(\frac{9}{10}\) + \(\frac{30}{100}\) = 1.2

Answer:
9/10 + 30/100 = 1.2

Explanation:
In the above-given question,
given that,
\(\frac{9}{10}\) + \(\frac{30}{100}\).
9/10 + 30/100 = 1.2.

Question 35.
\(\frac{9}{10}\) + \(\frac{37}{100}\) = 1.27

Answer:
9/10 + 37/100 = 1..27.

Explanation:
In the above-given question,
given that,
\(\frac{9}{10}\) + \(\frac{37}{100}\).
9/10 + 37/100 = 1.27.

Question 36.
\(\frac{8}{10}\) + \(\frac{40}{100}\) = 1.2

Answer:
1/10 + 10/100 = 0.11.

Explanation:
In the above-given question,
given that,
\(\frac{1}{10}\) + \(\frac{10}{100}\).
1/10 + 10/100 = 0.11.

Question 37.
\(\frac{8}{10}\) + \(\frac{49}{100}\) = 1.29

Answer:
8/10 + 49/100 = 1.29.

Explanation:
In the above-given question,
given that,
\(\frac{8}{10}\) + \(\frac{49}{100}\).
8/10 + 49/100 = 1.29.

Question 38.
\(\frac{7}{10}\) + \(\frac{70}{100}\) = 1.4

Answer:
7/10 + 70/100 = 1.4.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\) + \(\frac{70}{100}\).
7/10 + 70/100 = 1.4.

Question 39.
\(\frac{7}{10}\) + \(\frac{76}{100}\) = 1.46

Answer:
7/10 + 76/100 = 1.46.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\) + \(\frac{76}{100}\).
7/10 + 76/100 = 1.46.

Question 40.
\(\frac{78}{100}\) + \(\frac{7}{10}\) = 1.48

Answer:
7/10 + 78/100 = 1.48.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\) + \(\frac{78}{100}\).
7/10 + 78/100 = 1.48.

Question 41.
\(\frac{81}{100}\) + \(\frac{7}{10}\) = 1.51

Answer:
7/10 + 81/100 = 1.51.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\) + \(\frac{81}{100}\).
7/10 + 81/100 = 1.51.

Question 42.
\(\frac{9}{10}\) + \(\frac{73}{100}\) = 1.63

Answer:
9/10 + 73/100 = 1.63.

Explanation:
In the above-given question,
given that,
\(\frac{9}{10}\) + \(\frac{73}{100}\).
9/10 + 73/100 = 1.63.

Question 43.
\(\frac{9}{10}\) + \(\frac{84}{100}\) = 1.74

Answer:
9/10 + 84/100 = 1.74.

Explanation:
In the above-given question,
given that,
\(\frac{9}{10}\) + \(\frac{84}{100}\).
9/10 + 84/100 = 1.74.

Question 44.
\(\frac{84}{100}\)+ \(\frac{8}{10}\) = 1.64

Answer:
8/10 + 84/100 = 1.64.

Explanation:
In the above-given question,
given that,
\(\frac{8}{10}\) + \(\frac{84}{100}\).
8/10 + 84/100 = 1.64.

Eureka Math Grade 4 Module 6 Lesson 16 Problem Set Answer Key

Use the RDW process to solve. Write your answer as a decimal.
Question 1.
Miguel has 1 dollar bill, 2 dimes, and 7 pennies. John has 2 dollar bills, 3 quarters, and 9 pennies. How much money do the two boys have in all?

Answer:
The money two boys have in all = 1.04.

Explanation:
In the above-given question,
given that,
Miguel has a 1 dollar bill, 2 dimes, and 7 pennies.
John has 2 dollar bills, 3 quarters, and 9 pennies.
1 dollar = 100 = 0.01.
1 dime = 10 pennies.
10 pennies = 10 cents.
0.10 + 0.07 + 0.01 = 0.18.
0.02 + 0.09 + 0.75 = 0.86.
0.18 + 0.86 = 1.04.

Question 2.
Suilin needs 7 dollars 13 cents to buy a book. In her wallet, she finds 3 dollar bills, 4 dimes, and 14 pennies. How much more money does Suilin need to buy the book?

Answer:
The more money Suilin needs to buy the book = 1.36.

Explanation:
In the above-given question,
given that,
Suilin needs 7 dollars 13 cents to buy a book.
In her wallet, she finds 3 dollar bills, 4 dimes, and 14 pennies.
0.03 + 0.40 + 0.14 = 1.57.
0.07 + 0.13 = 0.21.
1.57 – 0.21 = 1.36

Question 3.
Vanessa has 6 dimes and 2 pennies. Joachim has 1 dollar, 3 dimes, and 5 pennies. Jimmy has 5 dollars and 7 pennies. They want to put their money together to buy a game that costs $8.00. Do they have enough money to buy the game? If not, how much more money do they need?

Answer:
Enough money to buy the game = 0.03.

Explanation:
In the above-given question,
given that,
Vanessa has 6 dimes and 2 pennies.
Joachim has 1 dollar, 3 dimes, and 5 pennies.
Jimmy has 5 dollars and 7 pennies.
They want to put their money together to buy a game that costs $8.
0.62 + 0.09 + 0.12.
0.83.

Question 4.
A pen costs $2.29. A calculator costs 3 times as much as a pen. How much do a pen and a calculator cost together?

Answer:
The pen and a calculator cost together = $6.87.

Explanation:
In the above-given question,
given that,
A pen costs $2.29.
A calculator costs 3 times as much as a pen.
$6.87.

Question 5.
Krista has 7 dollars and 32 cents. Malory has 2 dollars and 4 cents. How much money does Krista need to give Malory so that each of them has the same amount of money?

Answer:
The money Krista need to give Malory so that each of them has the same amount of money = 0.13.

Explanation:
Krista has 7 dollars and 32 cents.
Malory has 2 dollars and 4 cents.
0.07 + 0.32 = 0.39.
0.02 + 0.04 = 0.06.
0.13 + 0.06 = 0.38.

Eureka Math Grade 4 Module 6 Lesson 16 Exit Ticket Answer Key

Use the RDW process to solve. Write your answer as a decimal.
David’s mother told him that he could keep all the money he finds under the sofa cushions in their house. David finds 6 quarters, 4 dimes, and 26 pennies. How much money does David find altogether?

Answer:
The much money David find altogether = 0.37.

Explanation:
In the above-given question,
given that,
6 quarters + 0.04 + 0.26 = 0.37.

Eureka Math Grade 4 Module 6 Lesson 16 Homework Answer Key

Use the RDW process to solve. Write your answer as a decimal.
Question 1.
Maria has 2 dollars, 3 dimes, and 4 pennies. Lisa has 1 dollar and 5 quarters. How much money do the two girls have in all?

Answer:
The two girls have in all = 0.30.

Explanation:
In the above-given question,
given that,
Maria has 2 dollars, 3 dimes, and 4 pennies.
Lisa has 1 dollar and 5 quarters.
0.02 + 0.03 + 0.04 = 0.09.
0.01 + 0.20 = 0.21.
0.09 + 0.21 = 0.30.

Question 2.
Meiling needs 5 dollars 35 cents to buy a ticket to a show. In her wallet, she finds 2 dollar bills, 11 dimes, and 5 pennies. How much more money does Meiling need to buy the ticket?

Answer:
The more money Meiling need to buy the ticket = 0.46

Explanation:
In the above-given question,
given that,
Meiling needs 5 dollars 35 cents to buy a ticket to a show.
In her wallet, she finds 2 dollar bills, 11 dimes, and 5 pennies.
0.05 + 0.35 + 0.02 + 0.11 + 0.05 = 0.46.

Question 3.
Joe has 5 dimes and 4 pennies. Jamal has 2 dollars, 4 dimes, and 5 pennies. Jimmy has 6 dollars and 4 dimes. They want to put their money together to buy a book that costs $10.00. Do they have enough? If not, how much more do they need?

Answer:
Yes, they have enough money.

Explanation:
In the above-given question,
given that,
Joe has 5 dimes and 4 pennies.
Jamal has 2 dollars, 4 dimes, and 5 pennies.
Jimmy has 6 dollars and 4 dimes.
0.09 + 0.11 + 0.10 = 0.30.

Question 4.
A package of mechanical pencils costs $4.99. A package of pens costs twice as much as a package of pencils. How much do a package of pens and a package of pencils cost together?

Answer:
The package of pens and a package of pencils cost together = $9.98.

Explanation:
In the above-given question,
given that,
A package of mechanical pencils costs $4.99.
A package of pens costs twice as much as a package of pencils.
$4.99 x 2 = $9.98.

Question 5.
Carlos has 8 dollars and 48 cents. Alissa has 4 dollars and 14 cents. How much money does Carlos need to give Alissa so that each of them has the same amount of money?

Answer:
The money does Carlos needs to give Alissa so that each of them has the same amount of money = 0.48.

Explanation:
In the above-given question,
given that,
Carlos has 8 dollars and 48 cents.
Alissa has 4 dollars and 14 cents.
0.08 + 0.48 + 0.04 + 0.14 = 0.48

Engage NY Eureka Math 4th Grade Module 6 Lesson 13 Answer Key

Eureka Math Grade 4 Module 6 Lesson 13 Problem Set Answer Key

Question 1.
Solve. Convert tenths to hundredths before finding the sum. Rewrite the complete number sentence in decimal form. Problems 1(a) and 1(b) are partially completed for you.
a. 2\(\frac{1}{10}\) + \(\frac{3}{100}\) = 2\(\frac{10}{100}\) + \(\frac{3}{100}\) = ___2.13____
2.1 + 0.03 = __2.13_____

Answer:
2.1 + 0.03 = 2.13.

Explanation:
In the above-given question,
given that,
2\(\frac{1}{10}\) + \(\frac{3}{100}\).
2\(\frac{10}{100}\) + \(\frac{3}{100}\).
2 + 1/10 = 2 + 0.1 = 2.1.
3/100 = 0.03.
2.1 + 0.03.
2.13.

b. 2\(\frac{1}{10}\) + 5\(\frac{3}{100}\) = 2\(\frac{10}{100}\) + 5\(\frac{3}{100}\) = _7.13_____

Answer:
2.1 + 5.03 = 7.13.

Explanation:
In the above-given question,
given that,
2\(\frac{1}{10}\) + 5\(\frac{3}{100}\).
2\(\frac{10}{100}\) +5 \(\frac{3}{100}\).
2 + 1/10 = 2 + 0.1 = 2.1.
5 + 3/100 = 5 + 0.03 = 5.03.
2.1 + 5.03.
7.13.

c. 3\(\frac{24}{100}\) + \(\frac{7}{10}\)

Answer:
0.7 + 3.24 = 3.94.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}\) + 3\(\frac{24}{100}\).
\(\frac{70}{100}\) + 3\(\frac{24}{100}\).
7/10 = 0.7 = 0.7.
3 + 24/100 = 3 + 0.24 = 3.24.
0.7 + 3.24.
3.94.

d. 3\(\frac{24}{100}\) + 8\(\frac{7}{10}\)

Answer:
8.7 + 3.24 = 11.94.

Explanation:
In the above-given question,
given that,
8\(\frac{7}{10}\) + 3\(\frac{24}{100}\).
8\(\frac{70}{100}\) + 3\(\frac{24}{100}\).
8 + 7/10 = 8 + 0.7 = 8.7.
3 + 24/100 = 3 + 0.24 = 3.24.
8.7 + 3.24.
11.94.

Question 2.
Solve. Then, rewrite the complete number sentence in decimal form.
a. 6\(\frac{9}{10}\) + 1\(\frac{10}{100}\)
b. 9\(\frac{9}{10}\) + 2\(\frac{45}{100}\)
c. 2\(\frac{4}{10}\) + 8\(\frac{90}{100}\)
d. 6\(\frac{37}{100}\) + 7\(\frac{7}{10}\)

Answer:
a. 7.91.

Explanation:
In the above-given question,
given that,
6\(\frac{9}{10}\) + 1\(\frac{10}{100}\).
6 + 9/10 = 6 + 0.9 = 6.9.
1 + 10/100 = 1 + 0.01 = 1.01.
6.9 + 1.01.
7.91.

Answer:
b. 11.115.

Explanation:
In the above-given question,
given that,
9\(\frac{9}{10}\) + 2\(\frac{45}{100}\).
9 + 9/10 = 9 + 0.9 = 9.9.
2 + 45/100 = 2 + 0.45 = 2.45.
9.9 + 2.45.
11. 115.

Answer:
c. 10.49.

Explanation:
In the above-given question,
given that,
2\(\frac{4}{10}\) + 8\(\frac{90}{100}\).
2 + 4/10 = 2 + 0.4 = 2.4.
8 + 90/100 = 8 + 0.09 = 8.09.
2.4 + 8.09.
10.49.

Answer:
d. 13.107.

Explanation:
In the above-given question,
given that,
7\(\frac{7}{10}\) + 6\(\frac{37}{100}\).
7 + 7/10 = 7 + 0.7 = 7.7.
6 + 37/100 = 6 + 0.37 = 6.37.
7.7 + 6.37.
13.107.

Question 3.
Solve by rewriting the number sentence in fraction form. After solving, rewrite the complete number sentence in decimal form.
a. 6.4 + 5.3
b. 6.62 + 2.98
c. 2.1 + 0.94
d. 2.1 + 5.94
e. 5.7 + 4.92
f. 5.68 + 4.9
g. 4.8 + 3.27
h. 17.6 + 3.59

Answer:
a. 11.7.

Explanation:
In the above-given question,
given that,
6\(\frac{4}{10}\) + 5\(\frac{3}{10}\).
6 + 4/10 = 6 + 0.4 = 6.4.
5 + 3/10 = 5 + 0.3 = 5.3.
6.4 + 5.3.
11.7.

Answer:
b. 8.1510.

Explanation:
In the above-given question,
given that,
6\(\frac{9}{10}\) + 2\(\frac{98}{100}\).
6 + 62/100 = 6 + 0.62 = 6.62.
2 + 98/100 = 2 + 0.98 = 2.98.
6.62 + 2.98.
8.1510.

Answer:
c. 2.104.

Explanation:
In the above-given question,
given that,
2\(\frac{1}{10}\) + \(\frac{94}{100}\).
2 + 1/10 = 2 + 0.1 = 2.1.
94/100 =  0.94 = 0.94.
2.1 + 0.94.
2.104.

Answer:
d. 7.104.

Explanation:
In the above-given question,
given that,
2\(\frac{1}{10}\) + 5\(\frac{94}{100}\).
2 + 1/10 = 2 + 0.1 = 2.1.
5 + 94/100 = 5 + 0.94 = 5.94.
2.1 + 5.94.
7.104.

Answer:
e. 9.162.

Explanation:
In the above-given question,
given that,
5\(\frac{7}{10}\) + 4\(\frac{92}{100}\).
5 + 7/10 = 5 + 0.7 = 5.7.
4 + 92/100 = 4 + 0.92 = 4.92.
5.7 + 4.92.
9.162.

Answer:
f. 4.9 + 5.68.

Explanation:
In the above-given question,
given that,
4\(\frac{9}{10}\) + 5\(\frac{68}{100}\).
4 + 9/10 = 4 + 0.9 = 4.9.
5 + 68/100 = 5 + 0.68 = 5.68.
4.9 + 5.68.

Answer:
g. 4.8 + 3.27.

Explanation:
In the above-given question,
given that,
4\(\frac{8}{10}\) + 3\(\frac{27}{100}\).
4 + 8/10 = 4 + 0.8 = 4.8.
3 + 27/100 = 3 + 0.27 = 3.27.
4.8 + 3.27.

Answer:
h. 17.6 + 3.59.

Explanation:
In the above-given question,
given that,
17\(\frac{6}{10}\) + 3\(\frac{59}{100}\).
17 + 6/10 = 17 + 0.6 = 17.6.
3 + 59/100 = 3 + 0.59 = 3.59.
17.6 + 3.59.

Eureka Math Grade 4 Module 6 Lesson 13 Exit Ticket Answer Key

Solve by rewriting the number sentence in fraction form. After solving, rewrite the complete number sentence in decimal form.
Question 1.
7.3 + 0.95

Answer:
8.25.

Explanation:
In the above-given question,
given that,
7\(\frac{3}{10}\) + \(\frac{95}{100}\).
7 + 3/10 = 7 + 0.3 = 7.3.
0 + 95/100 = 0 + 0.95 = 0.95.
7.3 + 0.95.

Question 2.
8.29 + 5.9

Answer:
14.19.

Explanation:
In the above-given question,
given that,
5\(\frac{9}{10}\) + 8\(\frac{29}{100}\).
5 + 9/10 = 5 + 0.9 = 5.9.
8 + 29/100 = 8 + 0.29 = 8.29.
5.9 + 8.29.
14.19.

Eureka Math Grade 4 Module 6 Lesson 13 Homework Answer Key

Question 1.
Solve. Convert tenths to hundredths before finding the sum. Rewrite the complete number sentence in decimal form. Problems 1(a) and 1(b) are partially completed for you.
a. 5\(\frac{2}{10}\) + \(\frac{7}{100}\) = 5\(\frac{20}{100}\) + \(\frac{7}{100}\) = ___5.27_____
5.2 + 0.07 = __5.27____

Answer:
5.2 + 0.07 = 5.27.

Explanation:
In the above-given question,
given that,
5\(\frac{2}{10}\) + \(\frac{7}{100}\).
5\(\frac{20}{100}\) + \(\frac{7}{100}\).
5 + 2/10 = 5 + 0.2 = 5.2.
7/100 = 0.07.
5.2 + 0.07.
5.27.

b. 5\(\frac{2}{10}\) + 3\(\frac{7}{100}\) = 8\(\frac{20}{100}\) + \(\frac{7}{100}\) = ___8.27_____

Answer:
5.2 + 3.07 = 8.27.

Explanation:
In the above-given question,
given that,
5\(\frac{2}{10}\) +3 \(\frac{7}{100}\).
5\(\frac{20}{100}\) +3 \(\frac{7}{100}\).
5 + 20/100 = 5 + 0.2 = 5.2.
7/100 = 0.07 + 3 = 3.07.
5.2 + 3.07.
8.27.

c. 6\(\frac{5}{10}\) + \(\frac{1}{100}\)

Answer:
6.5 + 0.01 = 6.51.

Explanation:
In the above-given question,
given that,
6\(\frac{5}{10}\) + \(\frac{1}{100}\).
6\(\frac{50}{100}\) + \(\frac{1}{100}\).
6 + 5/10 = 6 + 0.5 = 6.5.
1/100 = 0.01.
6.5 + 0.01.
6.51.

d. 6\(\frac{5}{10}\) + 7\(\frac{1}{100}\)

Answer:
2.1 + 0.03 = 2.13.

Explanation:
In the above-given question,
given that,
6\(\frac{5}{10}\) + 7\(\frac{1}{100}\).
6\(\frac{50}{100}\) +7 \(\frac{1}{100}\).
6 + 5/10 = 6 + 0.5 = 6.5.
7 + 1/100 = 0.01 + 7.
6.5 + 0.07.
6.57.

Question 2.
Solve. Then, rewrite the complete number sentence in decimal form.
a. 4\(\frac{9}{10}\) + 5\(\frac{10}{10}\)
b. 8\(\frac{7}{10}\) + 2\(\frac{65}{100}\)
c. 7\(\frac{3}{10}\) + 6\(\frac{87}{100}\)
d. 5\(\frac{48}{100}\) + 7\(\frac{8}{10}\)

Answer:
4.9 + 6 = 10.9.

Explanation:
In the above-given question,
given that,
4\(\frac{9}{10}\) + 5\(\frac{10}{10}\).
4\(\frac{90}{100}\) + 5\(\frac{100}{100}\).
4 + 9/10 = 4 + 0.9 = 4.9.
5 + 10/10 = 6.
4.9 + 6.
10.9.

Answer:
8.7 + 2.65 = 11.35.

Explanation:
In the above-given question,
given that,
8\(\frac{7}{10}\) + 2 \(\frac{65}{100}\).
8\(\frac{70}{100}\) + 2\(\frac{65}{100}\).
8 + 7/10 = 8 + 0.7 = 8.7.
2 + 65/100 = 2 + 0.65 = 2.65.
8.7 + 2.65.
11.35.

Answer:
7.3 + 0.87 = 8.17.

Explanation:
In the above-given question,
given that,
7\(\frac{3}{10}\) +6 \(\frac{87}{100}\).
7\(\frac{30}{100}\) +6 \(\frac{87}{100}\).
7 + 3/10 = 7 + 0.3 = 7.3.
6 + 87/100 = 6 + 0.87.
7.3 + 0.87.
8.17.

Answer:
7.8 + 0.48 = 8.28.

Explanation:
In the above-given question,
given that,
7\(\frac{8}{10}\) + 5\(\frac{48}{100}\).
7\(\frac{80}{100}\) + 5\(\frac{48}{100}\).
7 + 8/10 = 7 + 0.8 = 7.8.
48/100 = 0.48.
7.8 + 0.48.
8.28.

Question 3.
Solve by rewriting the number sentence in fraction form. After solving, rewrite the complete number sentence in decimal form.
a. 2.1 + 0.87 = 2\(\frac{1}{10}\) + \(\frac{87}{100}\)
b. 7.2 + 2.67 = 7\(\frac{2}{10}\) + 2\(\frac{67}{100}\)
c. 7.3 + 1.8 = 7\(\frac{3}{10}\) +1 \(\frac{8}{10}\)
d. 7.3 + 1.86 = 7\(\frac{3}{10}\) + 1 \(\frac{86}{100}\)
e. 6.07 + 3.93 = 6\(\frac{7}{100}\) + 3\(\frac{93}{100}\)
f. 6.87 + 3.9 = 3\(\frac{9}{10}\) +6 \(\frac{87}{100}\)
g. 8.6 + 4.67 = 8\(\frac{6}{10}\) + 4\(\frac{67}{100}\)
h. 18.62 + 14.7 = 14\(\frac{7}{10}\) + 18\(\frac{62}{100}\)

Answer:
a. 7\(\frac{2}{10}\) +2 \(\frac{67}{100}\).

Explanation:
In the above-given question,
given that,
7\(\frac{2}{10}\) +2 \(\frac{67}{100}\).
7 + 2/10 = 7 + 0.2 = 7.2.
2 + 67/100 = 2 + 0.67.
7.2 + 0.67.
7.87.

Answer:
b. 2\(\frac{1}{10}\) + \(\frac{87}{100}\).

Explanation:
In the above-given question,
given that,
2\(\frac{1}{10}\) + \(\frac{87}{100}\).
2 + 1/10 = 2 + 0.1 = 2.1.
87/100 =  0.87.
2.1 + 0.87.
2.97.

Answer:
c. 7\(\frac{3}{10}\) +1 \(\frac{8}{10}\).

Explanation:
In the above-given question,
given that,
7\(\frac{3}{10}\) + 1\(\frac{87}{100}\).
7 + 3/10 = 7 + 0.3 = 7.3.
1 + 87/100 = 1 +0.87.= 1.87
7.3 + 1.87.
9.17.

Answer:
d. 7\(\frac{3}{10}\) + 1\(\frac{86}{100}\).

Explanation:
In the above-given question,
given that,
7\(\frac{3}{10}\) + 1\(\frac{86}{100}\).
7 + 3/10 = 7 + 0.3 = 7.3.
86/100 = 1 + 0.86.
7 .3+ 1.86.
9.16.

Answer:
e. 6\(\frac{7}{100}\) +3 \(\frac{93}{100}\).

Explanation:
In the above-given question,
given that,
6\(\frac{7}{100}\) +3 \(\frac{93}{100}\).
6 + 7/100 = 6 + 0.07 = 6.07.
3 + 93/100 = 3 + 0.93.
6.07 + 0.93.
7.00.

Answer:
f. 3\(\frac{9}{10}\) +6 \(\frac{87}{100}\).

Explanation:
In the above-given question,
given that,
3\(\frac{9}{10}\) +6 \(\frac{87}{100}\).
3 + 9/10 = 3 + 0.9 = 3.9.
6 + 87/100 =  6 + 0.87 = 6.87.
3.9 + 6.87.
10.77.

Answer:
g. 8\(\frac{6}{10}\) + 4\(\frac{67}{100}\).

Explanation:
In the above-given question,
given that,
8\(\frac{6}{10}\) +4 \(\frac{67}{100}\).
8 + 6/10 = 8 + 0.6 = 8.6.
67/100 = 4 + 0.67 = 4.67.
8.6 + 4.67.
13.27.

Answer:
h. 14\(\frac{7}{10}\) +18 \(\frac{62}{100}\).

Explanation:
In the above-given question,
given that,
14\(\frac{7}{10}\) +18 \(\frac{62}{100}\).
14 + 7/10 = 14 + 0.7 = 14.7.
18 +62/100 = 18 +  0.62.
14.7 + 18.62.
33.32.

Engage NY Eureka Math 4th Grade Module 6 Lesson 14 Answer Key

Eureka Math Grade 4 Module 6 Lesson 14 Problem Set Answer Key

Question 1.
Barrel A contains 2.7 liters of water. Barrel B contains 3.09 liters of water. Together, how much water do the two barrels contain? ₵

Answer:
The amount of water did the two barrels contains = 5.79.

Explanation:
In the above-given question,
given that,
Barrel A contains 2.7 liters of water.
Barrel B contains 3.09 liters of water.
Barrel A + Barrel B.
2.7 + 3.09.
5.79.

Question 2.
Alissa ran a distance of 15.8 kilometers one week and 17.34 kilometers the following week. How far did she run in the two weeks?

Answer:
The far did she run in the two weeks = 33.14.

Explanation:
In the above-given question,
given that,
Alissa ran a distance of 15.8 kilometers one week and 17.34 kilometers the following week.
15.8 + 17.34.
33.14.

Question 3.
An apple orchard sold 140.5 kilograms of apples in the morning and 15.85 kilograms more apples in the afternoon than in the morning. How many total kilograms of apples were sold that day?

Answer:
The total kilograms of apple were sold that day = 156.35.

Explanation:
In the above-given question,
given that,
An apple orchard sold 140.5 kilograms of apples in the morning and 15.85 kilograms more apples in the afternoon than in the morning.
140.5 + 15.85.
156.35.

Question 4.
A team of three ran a relay race. The final runner’s time was the fastest, measuring 29.2 seconds. The middle runner’s time was 1.89 seconds slower than the final runner’s. The starting runner’s time was 0.9 seconds slower than the middle runner’s. What was the team’s total time for the race?

Answer:
The team’s total time for the race= 5.79.

Explanation:
In the above-given question,
given that,
A team of three ran a relay race.
The final runner’s time was the fastest, measuring 29.2 seconds.
the middle runner’s time was 1.89 seconds slower than the final runner’s.
the starting runner’s time was 0.9 seconds slower than the middle runners.
29.2 + 1.89 + 0.9.
31.99.

Eureka Math Grade 4 Module 6 Lesson 14 Exit Ticket Answer Key

Elise ran 6.43 kilometers on Saturday and 5.6 kilometers on Sunday. How many total kilometers did she run on Saturday and Sunday?
Eureka Math Grade 4 Module 6 Lesson 14 Homework Answer Key

Answer:
The kilometers she runs on Saturday and Sunday = 12.03.

Explanation:
In the above-given question,
given that,
Elise ran 6.43 kilometers on Saturday and 5.6 kilometers on Sunday.
6.43 + 5.6.
12.03.

Question 1.
The snowfall in Year 1 was 2.03 meters. The snowfall in Year 2 was 1.6 meters. How many total meters of snow fell in Years 1 and 2?

Answer:
The total meters of snow fell in years 1 and 2 = 3.06 meters.

Explanation:
In the above-given question,
given that,
The snowfall in year 1 was 2.03 meters.
the snowfall in year 2 was 1.6 meters.
2.03 + 1.6.
3.06.

Question 2.
A deli sliced 22.6 kilograms of roast beef one week and 13.54 kilograms the next. How many total kilograms of roast beef did the deli slice in the two weeks?

Answer:
The total kilograms of roast beef did the deli slice in the two weeks = 5.79.

Explanation:
In the above-given question,
given that,
A deli sliced 22.6 kilograms of roast beef one week and 13.54 kilograms the next.
22.6 + 13.54.
36.14.

Question 3.
The school cafeteria served 125.6 liters of milk on Monday and 5.34 more liters of milk on Tuesday than on Monday. How many total liters of milk were served on Monday and Tuesday?

Answer:
The number of total liters of milk was served on Monday and Tuesday = 130.94.

Explanation:
In the above-given question,
given that,
The school cafeteria served 125.6 liters of milk on Monday and 5.34 more liters of milk on Tuesday than on Monday.
125.6 + 5.34.
130.94.

Question 4.
Max, Maria, and Armen were a team in a relay race. Max ran his part in 17.3 seconds. Maria was 0.7 seconds slower than Max. Armen was 1.5 seconds slower than Maria. What was the total time for the team?

Answer:
The total time for the team = 19.5.

Explanation:
In the above-given question,
given that,
Max, Maria, and Armen were a team in a relay race.
Max ran his part in 17.3 seconds.
Maria was 0.7 seconds than Max.
Armen was 1.5 seconds slower than Maria.
17.3 + 0.7 + 1.5.
19.5.

Engage NY Eureka Math 4th Grade Module 6 Lesson 12 Answer Key

Eureka Math Grade 4 Module 6 Lesson 12 Problem Set Answer Key

Question 1.
Complete the number sentence by expressing each part using hundredths. Model using the place value chart, as shown in part (a).

a. 1 tenth + 5 hundredths = __15____ hundredths

Answer:
1 tenth + 5 hundredths = 15 hundredths.

Explanation:
In the above-given question,
given that,
1 tenth = 1/10.
1/10 = 0.1.
5 hundredths = 5/100.
5/100 = 0.05.
0.1 + 0.05 = 0.15.

b. 2 tenths + 1 hundredth = ___21___ hundredths

Answer:
2 tenths + 1 hundredths = 21 hundredths.

Explanation:
In the above-given question,
given that,
2 tenths = 2/10.
2/10 = 0.2.
1 hundredths = 1/100.
1/100 = 0.01.
0.2 + 0.01 = 0.21.

c. 1 tenth + 12 hundredths = ___22___ hundredths

Answer:
1 tenth + 12 hundredths = 22 hundredths.

Explanation:
In the above-given question,
given that,
1 tenth = 1/10.
1/10 = 0.1.
12 hundredths = 12/100.
12/100 = 0.12.
0.1 + 0.12 = 0.22.

Question 2.
Solve by converting all addends to hundredths before solving.
a. 1 tenth + 3 hundredths = ____10______ hundredths + 3 hundredths = _____13_____ hundredths
b. 5 tenths + 12 hundredths = _____60_____ hundredths + ___2_______ hundredths = _____62_____ hundredths
c. 7 tenths + 27 hundredths = ____90______ hundredths + _____7_____ hundredths = ____97______hundredths
d. 37 hundredths + 7 tenths = _____100_____ hundredths + _____7_____ hundredths = ___107_______ hundredths

Answer:
a.1 tenth + 3 hundredths = 13 hundredths.

Explanation:
In the above-given question,
given that,
1 tenth = 1/10.
1/10 = 0.1.
3 hundredths = 3/100.
3/100 = 0.03.
0.1 + 0.03 = 0.13.

Answer:
b. 5 tenths + 12 hundredths = 62 hundredths.

Explanation:
In the above-given question,
given that,
5 tenths = 5/10.
5/10 = 0.5.
12 hundredths = 12/100.
12/100 = 0.12.
0.5 + 0.12 = 0.62.

Answer:
c. 7 tenths + 27 hundredths = 97 hundredths.

Explanation:
In the above-given question,
given that,
7 tenths = 7/10.
7/10 = 0.7.
27 hundredths = 27/100.
27/100 = 0.27.
0.7 + 0.27 = 0.97.

Answer:
d.7 tenths + 37 hundredths = 107 hundredths.

Explanation:
In the above-given question,
given that,
7 tenths = 7/10.
7/10 = 0.7.
37 hundredths = 37/100.
37/100 = 0.37.
0.7 + 0.37 = 0.107.

Question 3.
Find the sum. Convert tenths to hundredths as needed. Write your answer as a decimal.
a. \(\frac{2}{10}+\frac{8}{100}\)
b. \(\frac{13}{100}+\frac{4}{10}\)
c. \(\frac{6}{10}+\frac{39}{100}\)
d. \(\frac{70}{100}+\frac{3}{10}\)

Answer:
b. 0.53.

Explanation:
In the above-given question,
given that,
\(\frac{13}{100}+\frac{4}{10}\).
13/100 + 4/10.
0.13 + 0.4.
0.53.

Answer:
a. 0.28.

Explanation:
In the above-given question,
given that,
\(\frac{2}{10}+\frac{8}{100}\).
2/10 + 8/100.
0.2 + 0.08.
0.28.

Answer:
c. 0.99.

Explanation:
In the above-given question,
given that,
\(\frac{6}{10}+\frac{39}{100}\).
6/10 + 39/100.
0.6 + 0.39.
0.99.

Answer:
d. 0.28.

Explanation:
In the above-given question,
given that,
\(\frac{3}{10}+\frac{70}{100}\).
3/10 + 70/100.
0.3 + 0.07.
0.37.

Question 4.
Solve. Write your answer as a decimal.
a. \(\frac{9}{10}+\frac{42}{100}\)
b. \(\frac{70}{100}+\frac{5}{10}\)
c. \(\frac{68}{100}+\frac{8}{10}\)
d. \(\frac{7}{10}+\frac{8}{1000}\)

Answer:
a. 0.132.

Explanation:
In the above-given question,
given that,
\(\frac{9}{10}+\frac{42}{100}\).
9/10 + 42/100.
0.9 + 0.42.
0.132.

Answer:
b. 0.12.

Explanation:
In the above-given question,
given that,
\(\frac{5}{10}+\frac{70}{100}\).
5/10 + 70/100.
0.5 + 0.70.
0.12.

Answer:
c. 0.28.

Explanation:
In the above-given question,
given that,
\(\frac{8}{10}+\frac{68}{100}\).
8/10 + 68/100.
0.8 + 0.68.
0.148.

Answer:
a. 0.708.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}+\frac{8}{1000}\).
7/10 + 8/1000.
0.7 + 0.008.
0.708.

Question 5.
Beaker A has \(\frac{63}{100}\) liter of iodine. It is filled the rest of the way with water up to 1 liter. Beaker B has \(\frac{4}{10}\) liter of iodine. It is filled the rest of the way with water up to 1 liter. If both beakers are emptied into a large beaker, how much iodine does the large beaker contain?

Answer:
The amount of iodine does the large beaker contains = 0.63 liters.

Explanation:
In the above-given question,
given that,
Beaker A has 63/100 liters of iodine = 0.63.
Beaker B has 4/10 liters of iodine = 0.4.
The large beaker contains = 0.63 liters.

Eureka Math Grade 4 Module 6 Lesson 12 Exit Ticket Answer Key

Question 1.
Complete the number sentence by expressing each part using hundredths. Use the place value chart to model.

1 tenth + 9 hundredths = 19 hundredths

Answer:
1 tenth + 9 hundredths = 19 hundredths.

Explanation:
In the above-given question,
given that,
1 tenth = 1/10.
1/10 = 0.1.
9 hundredths = 9/100.
9/100 = 0.09.
0.1 + 0.09 = 0.19.

Question 2.
Find the sum. Write your answer as a decimal.
\(\frac{4}{10}+\frac{73}{100}\)

Answer:
c. 0.113.

Explanation:
In the above-given question,
given that,
\(\frac{4}{10}+\frac{73}{100}\).
4/10 + 73/100.
0.4 + 0.73.
0.113.

Eureka Math Grade 4 Module 6 Lesson 12 Homework Answer Key

Question 1.
Complete the number sentence by expressing each part using hundredths. Model using the place value chart, as shown in part (a).

a. 1 tenth + 8 hundredths = __18___ hundredths

Answer:
1 tenth + 8 hundredths = 18 hundredths.

Explanation:
In the above-given question,
given that,
1 tenth = 1/10.
1/10 = 0.1.
8 hundredths = 8/100.
8/100 = 0.08.
0.1 + 0.08 = 0.18.

b. 2 tenths + 3 hundredths = __23___ hundredths

Answer:
2 tenths + 3 hundredths = 23 hundredths.

Explanation:
In the above-given question,
given that,
2 tenths = 2/10.
2/10 = 0.2.
3 hundredths = 3/100.
3/100 = 0.03.
0.2 + 0.03 = 0.23.

c. 1 tenth + 14 hundredths = __24___ hundredths

Answer:
1 tenth + 14 hundredths = 24 hundredths.

Explanation:
In the above-given question,
given that,
1 tenth = 1/10.
1/10 = 0.1.
14 hundredths = 14/100.
14/100 = 0.14.
0.1 + 0.14 = 0.24.

Question 2.
Solve by converting all addends to hundredths before solving.
a. 1 tenth + 2 hundredths = ___10___ hundredths + 2 hundredths = ___12___ hundredths
b. 4 tenths + 11 hundredths = __50____ hundredths + ___1___ hundredths = ___51___ hundredths
c. 8 tenths + 25 hundredths = __100____ hundredths + __5____ hundredths = _105_____ hundredths
d. 43 hundredths + 6 tenths = ___100___ hundredths + ___3___ hundredths = ___103___ hundredths

Answer:
a.1 tenth + 2 hundredths = 12 hundredths.

Explanation:
In the above-given question,
given that,
1 tenth = 1/10.
1/10 = 0.1.
2 hundredths = 2/100.
2/100 = 0.02.
0.1 + 0.02 = 0.12.

Answer:
b.4 tenths + 11 hundredths = 51 hundredths.

Explanation:
In the above-given question,
given that,
4 tenths = 4/10.
4/10 = 0.4.
11 hundredths = 11/100.
11/100 = 0.11.
0.4 + 0.11 = 0.51.

Answer:
c.8 tenths + 25 hundredths = 105 hundredths.

Explanation:
In the above-given question,
given that,
8 tenths = 8/10.
8/10 = 0.8.
25 hundredths = 25/100.
25/100 = 0.25.
0.8 + 0.25 = 0.105.

Answer:
d.6 tenths + 43 hundredths = 103 hundredths.

Explanation:
In the above-given question,
given that,
6 tenths = 6/10.
6/10 = 0.6.
43 hundredths = 43/100.
43/100 = 0.43.
0.6 + 0.43 = 0.103.

Question 3.
Find the sum. Convert tenths to hundredths as needed. Write your answer as a decimal.
a. \(\frac{3}{10}+\frac{7}{100}\)
b. \(\frac{16}{100}+\frac{5}{10}\)
c. \(\frac{5}{10}+\frac{40}{100}\)
d. \(\frac{20}{100}+\frac{8}{10}\)

Answer:
a. 0.37.

Explanation:
In the above-given question,
given that,
\(\frac{3}{10}+\frac{7}{100}\).
3/10 + 7/100.
0.3 + 0.07.
0.37.

Answer:
b. 0.66.

Explanation:
In the above-given question,
given that,
\(\frac{5}{10}+\frac{16}{100}\).
5/10 + 16/100.
0.5 + 0.16.
0.66.

Answer:
c. 0.9.

Explanation:
In the above-given question,
given that,
\(\frac{5}{10}+\frac{40}{100}\).
5/10 + 40/100.
0.5 + 0.4.
0.9.

Answer:
d. 0.10.

Explanation:
In the above-given question,
given that,
\(\frac{8}{10}+\frac{20}{100}\).
8/10 + 20/100.
0.8 + 0.2.
0.10.

Question 4.
Solve. Write your answer as a decimal.
a. \(\frac{5}{10}+\frac{53}{100}\)
b. \(\frac{27}{100}+\frac{8}{10}\)
c. \(\frac{4}{10}+\frac{78}{100}\)
d. \(\frac{98}{100}+\frac{7}{10}\)

Answer:
a. 0.103.

Explanation:
In the above-given question,
given that,
\(\frac{5}{10}+\frac{53}{100}\).
5/10 + 53/100.
0.5 + 0.53.
0.103.

Answer:
a. 0.107.

Explanation:
In the above-given question,
given that,
\(\frac{8}{10}+\frac{27}{100}\).
8/10 + 27/100.
0.8 + 0.27.
0.107.

Answer:
c. 0.118.

Explanation:
In the above-given question,
given that,
\(\frac{4}{10}+\frac{78}{100}\).
4/10 + 78/100.
0.4 + 0.78.
0.118.

Answer:
d. 0.168.

Explanation:
In the above-given question,
given that,
\(\frac{7}{10}+\frac{98}{100}\).
7/10 + 98/100.
0.7 + 0.98.
0.168.

Question 5.
Cameron measured \(\frac{65}{100}\) inch of rainwater on the first day of April. On the second day of April, he measured \(\frac{83}{100}\) inch of rainwater. How many total inches of rainwater did Cameron measure on the first two days of April?

Answer:
The Cameron measures on the first two days of April = 0.138 inches.

Explanation:
In the above-given question,
given that,
Cameron measured 65/100 = 0.65 inches of rainwater on the first day of April.
Cameron measured 83/100 = 0.83 inches of rainwater on the second day of April.
0.65 + 0.83.
0.138 inches.

Engage NY Eureka Math 4th Grade Module 6 Lesson 11 Answer Key

Eureka Math Grade 4 Module 6 Lesson 11 Problem Set Answer Key

Question 1.
Plot the following points on the number line.
a. 0.2, \(\frac{1}{10}\), 0.33, \(\frac{12}{100}\), 0.21, \(\frac{32}{100}\)

Answer:
The points are 0.2, 0.1, 0.33, 0.12, 0.21, 0.32.

Explanation:
In the above-given question,
given that,
the points on the number line are
0.2.
\(\frac{1}{10}\) = 1/10 = 0.1.
0.33.
\(\frac{12}{100}\) = 0.12.
0.21.
\(\frac{32}{100}\) = 0.32.

b. 3.62, 3.7, 3\(\frac{85}{100}\), \(\frac{38}{10}\), \(\frac{364}{100}\)

Answer:
The points are 3.62, 3.7, 3.85, 3.8, 3.64.

Explanation:
In the above-given question,
given that,
the points on the number line are
3.62.
3\(\frac{85}{100}\) = 385/100 = 3.85.
3.7.
\(\frac{38}{10}\) = 3.8.
\(\frac{364}{100}\) = 3.64.

c. 6\(\frac{3}{10}\), 6.31, \(\frac{628}{100}\), \(\frac{62}{10}\), 6.43, 6.40

Answer:
The points are 6.3, 6.31, 6.28, 6.2, 6.43, 6.40.

Explanation:
In the above-given question,
given that,
the points on the number line are
6.31.
6\(\frac{3}{10}\) = 63/10 = 6.3.
6.43.
\(\frac{628}{100}\) = 6.28.
6.40.
\(\frac{62}{10}\) = 6.2.

Question 2.
Arrange the following numbers in order from greatest to least using decimal form. Use the > symbol between each number.
a. \(\frac{27}{10}\), 2.07, \(\frac{27}{100}\), 2\(\frac{71}{100}\), \(\frac{227}{100}\), 2.72
b. 12\(\frac{3}{10}\), 13.2, \(\frac{134}{100}\), 13.02, 12\(\frac{20}{100}\)
c. 7\(\frac{34}{100}\), 7\(\frac{4}{10}\), 7\(\frac{3}{10}\), \(\frac{750}{100}\), 75, 7.2

Answer:
a. The points are 2.7, 2.07, 0.27, 2.71, 2.27, 2.72.

Explanation:
In the above-given question,
given that,
the points on the number line are
27/10 = 2.7.
2.07.
0.27.
2.71.
2.27.
2.72.
the numbers from greatest to least are 2.72, 2.71, 2.7, 2.27, 2.07, 0.27.

Answer:
b. The points are 12.3, 13.2, 1.34, 13.02, 12.2.

Explanation:
In the above-given question,
given that,
the points on the number line are 12\(\frac{3}{10}\), 13.2, \(\frac{134}{100}\), 13.02, 12\(\frac{20}{100}\)
123/10 = 12.3.
\(\frac{134}{100}\) = 134/100= 1.34.
13.2.
12\(\frac{20}{100}\) = 1220/100 = 12.2.
13.02.
the numbers from greatest to least are 13.2, 13.02, 12.3, 12.2, 1.34.

Answer:
c. The points are 7.34, 7.4, 7.3, 7.5, 75, 7.2.

Explanation:
In the above-given question,
given that,
the points on the number line are 7\(\frac{34}{100}\), 7\(\frac{4}{10}\), 7\(\frac{3}{10}\), \(\frac{750}{100}\), 75, 7.2
75.
7\(\frac{34}{100}\) = 734/100= 7.34.
7.2.
7\(\frac{4}{10}\) = 74/10 = 7.4.
7\(\frac{3}{10}\) = 73/10 = 7.3.
750/100 = 7.5.
the numbers from greatest to least are 75, 7.5, 7.4, 7.34, 7.3, 7.2..

Question 3.
In the long jump event, Rhonda jumped 1.64 meters. Mary jumped 1\(\frac{6}{10}\) meters. Kerri jumped \(\frac{94}{100}\) meter. Michelle jumped 1.06 meters. Who jumped the farthest?

Answer:
Rhonda jumped the farthest = 1.64 meters.

Explanation:
In the above-given question,
given that,
Rhonda jumped 1.64 meters.
Mary jumped 16/10 = 1.6 meters.
Kerri jumped 0.94 meters.
Michelle jumped 1.06 meters.
the farthest jumped = 1.64 meters.

Question 4.
In December, 2\(\frac{3}{10}\) feet of snow fell. In January, 2.14 feet of snow fell. In February, 2\(\frac{19}{100}\) feet of snow fell, and in March, 1\(\frac{1}{10}\) feet of snow fell. During which month did it snow the most? During which month did it snow the least?

Answer:
The month in which it snows the most = December.
The month in which it snows the least = march.

Explanation:
In the above-given question,
given that,
In December, 2\(\frac{3}{10}\) feet of snow fell = 23/10 = 2.3.
In January, 2.14 feet of snow fell.
In February, 2\(\frac{19}{100}\) feet of snow fell = 2.19.
In March, 1\(\frac{1}{10}\) feet of snow fell = 1.1.
the month in which it snows the most = December.
the month in which it snows the least = march.

Eureka Math Grade 4 Module 6 Lesson 11 Exit Ticket Answer Key

Question 1.
Plot the following points on the number line using decimal form.
1 one and 1 tenth, \(\frac{13}{10}\), 1 one and 20 hundredths, \(\frac{129}{100}\), 1.11, \(\frac{102}{100}\)

Answer:
The points are 1.1, 1.3, 1.20, 1.29, 1.11, 1.02.

Explanation:
In the above-given question,
given that,
1 one and 1 tenth = 1.1.
13/10 = 1.3.
1 one and 20 hundredths = 120/100 = 1.20.
129/100 = 1.29.
102/100 = 1.02.

Question 2.
Arrange the following numbers in order from greatest to least using decimal form. Use the > symbol between each number.
5.6, \(\frac{605}{100}\), 6.15, 6\(\frac{56}{100}\), \(\frac{516}{100}\), 6 ones and 5 tenths

Answer:
5.6 > 5.16 > 6.5 > 6.05 > 6.15 > 6.56.

Explanation:
In the above-given question,
given that,
the points are 605/100 = 6.05.
656/100 = 6.56.
516/100 = 5.16.
the points from least to greatest are
5.6 > 5.16 > 6.5 > 6.05 > 6.15 > 6.56.

Eureka Math Grade 4 Module 6 Lesson 11 Homework Answer Key

Question 1.
Plot the following points on the number line using decimal form.
a. 0.6, \(\frac{5}{10}\), 0.76, \(\frac{79}{100}\), 0.53, \(\frac{67}{100}\)

Answer:
The points on the number line = 0.6, 0.5, 0.76, 0.79, 0.53, 0.67.

Explanation:
In the above-given question,
given that,
the points on the number line are.
0.6.
5/10 = 0.5.
79/100 = 0.79.
67/100 = 0.67.
The points on the number line = 0.6, 0.5, 0.76, 0.79, 0.53, 0.67.

b. 8 ones and 15 hundredths, \(\frac{832}{100}\), 8\(\frac{27}{100}\), \(\frac{82}{10}\), 8.1

Answer:
The points on the number line = 8.15, 8.32, 8.27, 8.2, 8.1.

Explanation:
In the above-given question,
given that,
the points on the number line are.
8 ones and 15 hundredths = 8.15.
832/100 = 8.32.
827/100 = 8.27.
82/10 = 8.2.
The points on the number line = 8.15, 8.32, 8.27, 8.2, 8.1.

c. 13\(\frac{12}{100}\), \(\frac{130}{10}\), 13 ones and 3 tenths, 13.21, 13\(\frac{3}{100}\)

Answer:
The points on the number line = 13.12, 13.0, 13.3, 13.21, 1.33.

Explanation:
In the above-given question,
given that,
the points on the number line are.
13 ones and 3 tenths = 13.3.
1312/100 = 13.12.
130/10 = 13.0.
133/100 = 13.3.
The points on the number line = 13.12, 13.0, 13.3, 13.21, 1.33.

Question 2.
Arrange the following numbers in order from greatest to least using decimal form. Use the > symbol between each number.
a. 4.03, 4 ones and 33 hundredths, \(\frac{34}{100}\), 4\(\frac{43}{100}\), \(\frac{430}{100}\), 4.31
b. 17\(\frac{5}{10}\), 17.55, \(\frac{157}{10}\) 17 ones and 5 hundredths, 15.71, 15\(\frac{75}{100}\)
c. 8 ones and 19 hundredths, 9\(\frac{8}{10}\), 81, \(\frac{809}{100}\), 8.9, 8\(\frac{1}{10}\)

Answer:
0.34 > 4.03 > 4.30 > 4.31 > 4.33 > 4.43.

Explanation:
In the above-given question,
given that,
the points on the number line are.
4 ones and 33 hundredths = 4.33.
34/100 = 0.34.
443/100 = 4.43.
430/100 = 4.30.
0.34 > 4.03 > 4.30 > 4.31 > 4.33 > 4.43.

Question 3.
In a paper airplane contest, Matt’s airplane flew 9.14 meters. Jenna’s airplane flew 9\(\frac{4}{10}\) meters. Ben’s airplane flew \(\frac{904}{100}\) meters. Leah’s airplane flew 9.1 meters. Whose airplane flew the farthest?

Answer:
The airplane flew the farthest = Jenna airplane.

Explanation:
In the above-given question,
given that,
Matt’s airplane flew = 9.14 meters.
Jenna’s airplane flew = 94/10 = 9.4 meters.
Ben’s airplane flew = 904/100 = 9.04 meters.
Leah’s airplane flew = 9.1 meters.
jenna’s airplane flew the farthest.

Question 4.
Becky drank 1\(\frac{41}{100}\) liters of water on Monday, 1.14 liters on Tuesday, 1.04 liters on Wednesday, \(\frac{11}{10}\) liters on Thursday, and 1\(\frac{40}{100}\) liters on Friday. Which day did Becky drink the most? Which day did Becky drink the least?

Answer:
The Becky drink the most = Friday.
The Becky drink the least = Wednesday.

Explanation:
In the above-given question,
given that,
Becky drinks water on Monday = 1.41 liters.
Becky drinks water on Tuesday = 1.14 liters.
Becky drinks water on Wednesday = 1.04 liters.
Becky drinks water on Thursday = 1.1 liters.
Becky drinks water on Friday = 1.40 liters.
The Becky drink the most = Friday.
The Becky drink the least = Wednesday.

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.

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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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 above-given 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

Answer:
2 0nes = 20 tenths.

Explanation:
In the above-given question,
given that,
2 ones = 20 tenths.
20 tenths = 20/10.
20/10 = 2.

2 tenths = ____20____ hundredths

Answer:
2 tenths = 20 hundredths.

Explanation:
In the above-given question,
given that,
2 tenths = 20 hundredths.
20 hundredths = 20/100.
20/100 = 0.2.

1 one 3 tenths = __30__ tenths

Answer:
1 0ne 3 tenths = 30 tenths.

Explanation:
In the above-given question,
given that,
1 one 3 tenths = 30 tenths.
30 tenths = 30/10.
30/10 = 3.

2 tenths 3 hundredths = __23__ hundredths

Answer:
2 tenths 3 hundredths = 23 hundredths.

Explanation:
In the above-given 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 above-given question,
given that,
1 tenth = 10/10.
10/10 =1.

Answer:
b. 2 = 20 tenths.

Explanation:
In the above-given question,
given that,
2 tenth = 20/10.
20/10 = 2.

Answer:
c 1.7 = 17 tenths.

Explanation:
In the above-given question,
given that,
1.7 = 17/10.
17/10 = 1.7.

Answer:
d. 2.9 = 29 tenths.

Explanation:
In the above-given question,
given that,
2.9 tenth = 29/10.
29/10 = 2.9.

Answer:
e 10.7 = 107 tenths.

Explanation:
In the above-given question,
given that,
10.7  = 107/10.
17/10 = 10.7.

Answer:
f 20.9 = 209 tenths.

Explanation:
In the above-given 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 above-given question,
given that,
1 = 100 hundredths.
100 hundredths = 100/100.
100/100 = 1.

Answer:
b. 2 = 200 hundredths.

Explanation:
In the above-given question,
given that,
2 = 200 hundredths.
200 hundredths = 200/100.
200/100 = 2.

Answer:
c. 1.7 = 17 hundredths.

Explanation:
In the above-given 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 above-given question,
given that,
2.9 = 29 hundredths.
29 hundredths = 29/100.
29/100 = 0.29.

Answer:
e. 1 = 100 hundredths.

Explanation:
In the above-given question,
given that,
1 = 100 hundredths.
100 hundredths = 100/100.
100/100 = 1.

Answer:
f. 10.7 = 107 hundredths.

Explanation:
In the above-given question,
given that,
10.7 = 107 hundredths.
107 hundredths = 107/100.
107/100 = 1.07.

Answer:
g. 20.9 = 209 hundredths.

Explanation:
In the above-given 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.

Answer:
2.1 = 21 tenths \(\frac{21}{10}\).

Explanation:
In the above-given question,
given that,
21 tenths \(\frac{21}{10}\)
21 = 21/10.

Answer:
4.2 = 42 tenths \(\frac{42}{10}\).

Explanation:
In the above-given question,
given that,
42 tenths \(\frac{42}{10}\)
42 = 42/10.

Answer:
8.4 = 84 tenths \(\frac{84}{10}\).

Explanation:
In the above-given question,
given that,
84 tenths \(\frac{84}{10}\)
8.4 = 84/10.

Answer:
10.2 = 102 tenths \(\frac{102}{10}\).

Explanation:
In the above-given question,
given that,
102 tenths \(\frac{102}{10}\)
102 = 102/10.

Answer:
75.5 = 755 tenths \(\frac{755}{10}\).

Explanation:
In the above-given 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

Answer:
3 ones 2 tenths = 32.

Explanation:
In the above-given 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 above-given 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 above-given question,
given that,
2.6  = 26/10.

Answer:
b. 6.1 = 610 hundredths.

Explanation:
In the above-given 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 above-given 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

Answer:
b. 3 ones = 30 tenths.

Explanation:
In the above-given question,
given that,
3 ones = 30/10.
30/10 = 3.

3 tenths = ___30_____ hundredths

Answer:
b. 3 tenths = 30 hundredths.

Explanation:
In the above-given question,
given that,
3 tenth = 30/100.
30/10 = 0.3.

2 ones 3 tenths = _230___ tenths

Answer:
b. 2 ones = 230 tenths.

Explanation:
In the above-given question,
given that,
2 ones = 230/10.

3 tenths 3 hundredths = __330__ hundredths

Answer:
b. 3 tenths = 0.3
3 hundredths = 0.03.

Explanation:
In the above-given 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 above-given question,
given that,
1 = 10/10.
10/10 = 1.

Answer:
b. 2 = 20 tenths.

Explanation:
In the above-given question,
given that,
2  = 20/10.
20/10 = 2.

Answer:
c. 1.3 = 13 tenths.

Explanation:
In the above-given 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 above-given question,
given that,
1 = 100 hundredths.
100 hundredths = 100/100.
100/100 = 1.

Answer:
b. 2 = 200 hundredths.

Explanation:
In the above-given question,
given that,
2 = 200 hundredths.
200 hundredths = 200/100.
200/100 = 2.

Answer:
c. 1.3 = 130 hundredths.

Explanation:
In the above-given question,
given that,
1.3 = 130 hundredths.
130 hundredths = 130/100.
130/100 = 1.3.

Answer:
d. 2.6 = 260 hundredths.

Explanation:
In the above-given question,
given that,
2.6 = 260 hundredths.
260 hundredths = 260/100.
260/100 = 2.6

Answer:
e. 10.3 = 103 hundredths.

Explanation:
In the above-given question,
given that,
10.3 = 103 hundredths.
103 hundredths = 103/100.
103/100 = 10.3.

Answer:
f. 20.6 = 206 hundredths.

Explanation:
In the above-given 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

Answer:
4.1

Explanation:
In the above-given question,
given that,
41 tenths \(\frac{41}{10}\)
41/10.
4.1

Answer:
5.3

Explanation:
In the above-given question,
given that,
53 tenths \(\frac{53}{10}\)
53/10.
5.3

Answer:
9.7

Explanation:
In the above-given question,
given that,
97 tenths \(\frac{97}{10}\)
97/10.
9.7

Answer:
10.9

Explanation:
In the above-given question,
given that,
109 tenths \(\frac{109}{10}\)
109/10.
10.9

Answer:
68.5.

Explanation:
In the above-given question,
given that,
685 tenths \(\frac{685}{10}\)
685/10.
68.5.

Engage NY Eureka Math 4th Grade Module 6 Lesson 9 Answer Key

Eureka Math Grade 4 Module 6 Lesson 9 Problem Set Answer Key

Question 1.
Express the lengths of the shaded parts in decimal form. Write a sentence that compares the two lengths. Use the expression shorter than or longer than in your sentence.
a.
b.
c. List all four lengths from least to greatest.

Answer:
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

Answer:
0.35 m.

Explanation:
In the above-given question,
given that,
\(\frac{3}{10}\)m + \(\frac{5}{100}\)m = \(\frac{35}{100}\)m = 0.35m
3/10 = 0.3.
5/100 = 0.05.
0.3 + 0.05 = 0.35 m

Answer:
c. 0.27, 0.3, 0.35, 0.4.
0.4, 0.35, 0.3, 0.27.

Explanation:
In the above-given figures,
given that,
the 1-meter stick.
least to greatest = 0.27, 0.3, 0.35, 0.4.
greatest to least = 0.4, 0.3, 0.35, 0.4.

Question 2.
a. Examine the mass of each item as shown below on the 1-kilogram scales. Put an X over the items that are heavier than the avocado.

Answer:
a. Avocado = 0.2 kg.
Apple = 0.12 kg.
Banana = 0.6 kg.
grapes = 0.61 kg.

Explanation:
In the above-given question,
given that,
the items that are heavier than Avacado is bananas and grapes.
bananas = 0.6 kg.
grapes = 0.61 kg.

b. Express the mass of each item on the place value chart.

Mass of Fruit (kilograms)

c. Complete the statements below using the words heavier than or lighter than in your statements.
The avocado is ____geater_____ the apple.
The bunch of bananas is ___less than_____ the bunch of grapes.

Answer:
The avocado is greater than the apple.
the bunch of bananas is less than the bunch of grapes.

Explanation:
In the above-given question,
given that,
The avocado is greater than the apple.
the bunch of bananas is less than the bunch of grapes.
avocado = 0.2 kg.
bananas = 0.6 kg.
grapes = 0.61 kg.
apple – 0.12 kg.

Question 3.
Record the volume of water in each graduated cylinder on the place value chart below.

Volume of Water (liters)

Compare the values using >, <, or =.
a. 0.9 L __>___ 0.6 L
b. 0.48 L ___<____ 0.6 L
c. 0.3 L __>___ 0.19 L
d. Write the volume of water in each graduated cylinder in order from least to greatest.

Answer:
The volume of water in cylinder  A = 0.6 liters.
The volume of water in cylinder  B = 0.3 liters.
The volume of water in cylinder  C = 0.9 liters.
The volume of water in cylinder  D = 0.97 liters.
The volume of water in cylinder  E = 0.19 liters.
The volume of water in cylinder  F = 0.48 liters.

Explanation:
In the above-given question,
given that,
The volume of water in cylinder  A = 0.6 liters.
The volume of water in cylinder  B = 0.3 liters.
The volume of water in cylinder  C = 0.9 liters.
The volume of water in cylinder  D = 0.97 liters.
The volume of water in cylinder  E = 0.19 liters.
The volume of water in cylinder  F = 0.48 liters.
least to greatest in cylinders.
0.19, 0.3, 0.48, 0.6, 0.9, 0.97.

Eureka Math Grade 4 Module 6 Lesson 9 Exit Ticket Answer Key

Question 1.
a. Doug measures the lengths of three strings and shades tape diagrams to represent the length of each string as show below. Express, in decimal form, the length of each string.

Answer:
String 1 = 0.54 cm.
string 2 = 0.5 cm.
string 3 = 0.47 cm.

Explanation:
In the above-given question,
given that,
the length of the string in meter.
String 1 = 0.54 cm.
string 2 = 0.5 cm.
string 3 = 0.47 cm.

b. List the lengths of the strings in order from greatest to least.

Answer:
The strings in order from greatest to least = string 1, string 2, string 3.

Explanation:
In the above-given question,
given that,
the length of the string in the meter.
String 1 = 0.54 cm.
string 2 = 0.5 cm.
string 3 = 0.47 cm.
The strings in order from greatest to least = string 1, string 2, string 3.

Question 2.
Compare the values below using >, <, or =.
a. 0.8 kg ___>___ 0.6 kg
b. 0.36 kg __<___ 0.5 kg
c. 0.4 kg ___<___ 0.47 kg

Answer:
0.8 kg > 0.6 kg.
0.36 kg < 0.5 kg.
0.4 kg < 0.47 kg.

Explanation:
In the above-given question,
given that,
0.8 kg > 0.6 kg.
0.36 kg < 0.5 kg.
0.4 kg < 0.47 kg.

Eureka Math Grade 4 Module 6 Lesson 9 Homework Answer Key

Question 1.
Express the lengths of the shaded parts in decimal form. Write a sentence that compares the two lengths. Use the expression shorter than or longer than in your sentence.

Answer:
a. 1. 6.8 cm.
a. 2. 7 cm.
b. 1. 5 cm.
b. 2. 4.4 cm.

Explanation:
In the above-given question,
given that,
the lengths of the meter sticks.
a. 1. 6.8 cm.
a. 2. 7 cm.
b. 1. 5 cm.
b. 2. 4.4 cm.

c. List all four lengths from least to greatest.

Answer:
The four lengths from least to greatest = 4.4, 5, 6.8, 7cm.

Explanation:
In the above-given question,
given that,
the lengths of the meter sticks.
a. 1. 6.8 cm.
a. 2. 7 cm.
b. 1. 5 cm.
b. 2. 4.4 cm.
The four lengths from least to greatest = 4.4, 5, 6.8, 7cm.

Question 2.
a. Examine the mass of each item as shown below on the 1-kilogram scales. Put an X over the items that are heavier than the volleyball

Answer:
a. baseball = 0.15 kg.
volleyball= 0.62 kg.
basketball = 0.43 kg.
soccer ball = 0.25 kg.

Explanation:
In the above-given question,
given that,
the items that are heavier than volleyball are no items.
a. baseball = 0.15 kg.
volleyball= 0.62 kg.
basketball = 0.43 kg.
soccer ball = 0.25 kg.

b. Express the mass of each item on the place value chart.

Mass of Sport Balls (kilograms)

Answer:
a. baseball = 0.15 kg.
volleyball= 0.62 kg.
basketball = 0.43 kg.
soccer ball = 0.25 kg.

Explanation:
In the above-given question,
given that,
the items that are heavier than volleyball are no items.
a. baseball = 0.15 kg.
volleyball= 0.62 kg.
basketball = 0.43 kg.
soccer ball = 0.25 kg.

c. Complete the statements below using the words heavier than or lighter than in your statements.
The soccer ball is _________heavier than______ the baseball.
The volleyball is _____heavier than_________ the basketball.

Answer:
The soccer ball is heavier than the baseball.
The volleyball is heavier than the basketball.

Explanation:
In the above-given question,
given that,
a. baseball = 0.15 kg.
volleyball= 0.62 kg.
basketball = 0.43 kg.
soccer ball = 0.25 kg.
The soccer ball is heavier than the baseball.
The volleyball is heavier than the basketball.

Question 3.
Record the volume of water in each graduated cylinder on the place value chart below.

Volume of Water (liters)

Compare the values using >, <, or =.
a. 0.4 L ___>__ 0.2 L
b. 0.62 L _<____ 0.7 L
c. 0.2 L ___<___ 0.28 L
d. Write the volume of water in each graduated cylinder in order from least to greatest.

Answer:
The volume of water in cylinder  A = 0.7 liters.
The volume of water in cylinder  B = 0.62 liters.
The volume of water in cylinder  C = 0.28 liters.
The volume of water in cylinder  D = 0.4 liters.
The volume of water in cylinder  E = 0.85 liters.
The volume of water in cylinder  F = 0.2 liters.

Explanation:
In the above-given question,
given that,
The volume of water in cylinder  A = 0.7 liters.
The volume of water in cylinder  B = 0.62 liters.
The volume of water in cylinder  C = 0.28 liters.
The volume of water in cylinder  D = 0.4 liters.
The volume of water in cylinder  E = 0.85 liters.
The volume of water in cylinder  F = 0.2 liters.
least to greatest in cylinders.
0.2, 0.28, 0.4, 0.62, 0.7, 0.85.

Engage NY Eureka Math 4th Grade Module 6 Lesson 7 Answer Key

Eureka Math Grade 4 Module 6 Lesson 7 Problem Set Answer Key

Question 1.
Write a decimal number sentence to identify the total value of the place value disks.

Answer:
a.20.53.

Explanation:
In the above-given question,
given that,
2 tens + 5 tenths + 3 hundredths.
2 tens = 20.
5 tenths = 5/10.
5/10 = 0.5.
3 hundredths = 3/100.
3/100 = 0.03.
20 + 0.5 + 0.03 = 20.53.

Answer:
b.20.53.

Explanation:
In the above-given question,
given that,
5 hundred + 4 hundredths.
5 hundred = 500.
4 hundredths = 4/100.
4/100 = 0.04.
500 + 0.04 = 500.04.

Question 2.
Use the place value chart to answer the following questions. Express the value of the digit in unit form

a. The digit ____4___ is in the hundreds place. It has a value of _______400________________.
b. The digit ___1____ is in the tens place. It has a value of _______10__________.
c. The digit ___8____ is in the tenths place. It has a value of ____0.8_____________.
d. The digit ____3___ is in the hundredths place. It has a value of ___0.03_________.

Answer:
The digit 4 is in the hundreds place. It has a value of 400.
The digit 1 is in the tens place. It has a value of 10.
The digit 8 is in the tenths place. It has a value of 0.8.
The digit 3 is in the hundredths place. It has a value of 0.03.

Explanation:
In the above-given question,
given that,
The digit 4 is in the hundreds place. It has a value of 400.
4 x 100 = 400.
The digit 1 is in the tens place. It has a value of 10.
1 x 10 = 10.
The digit 8 is in the tenths place. It has a value of 0.8.
8/10 = 0.8.
The digit 3 is in the hundredths place. It has a value of 0.03.
3/100 = 0.03.

e. The digit __5_____ is in the hundreds place. It has a value of ______500___________.
f. The digit ___3____ is in the tens place. It has a value of _______30_______________.
g. The digit ___1____ is in the tenths place. It has a value of _______0.1______________.
h. The digit ___6____ is in the hundredths place. It has a value of ____0.6_______________.

Answer:
The digit 5 is in the hundreds place. It has a value of 500.
The digit 3 is in the tens place. It has a value of 30.
The digit 1 is in the tenths place. It has a value of 0.1.
The digit 6 is in the hundredths place. It has a value of 0.06.

Explanation:
In the above-given question,
given that,
The digit 5 is in the hundreds place. It has a value of 500.
5 x 100 = 500.
The digit 3 is in the tens place. It has a value of 30.
3 x 10 = 30.
The digit 1 is in the tenths place. It has a value of 0.1.
1/10 = 0.1.
The digit 6 is in the hundredths place. It has a value of 0.06.
6/100 = 0.06.

Question 3.
Write each decimal as an equivalent fraction. Then, write each number in expanded form, using both decimal and fraction notation. The first one has been done for you.

Answer:
a.15.43.

Explanation:
In the above-given question,
given that,
1 × 10) + (5 × 1) + (4 × 0.1) + (3 × 0.01)
10 +  5 +  0.4   +   0.03
15.43.

Answer:
b.21.04.

Explanation:
In the above-given question,
given that,
( 2 x 10) + (1 x 1) + (4 x 0.1)
20 + 1 + 0.4

Answer:
c.38.09.

Explanation:
In the above-given question,
given that,
(3 × 10) + (8 × 1) + (0 × 0.1) + (9 × 0.01)
30 +  8 +  0   +   0.09

Answer:
d.50.2.

Explanation:
In the above-given question,
given that,
(5 × 10) + (0 × 1) + (5 × 0.1) + (0 × 0.01)
50 +  0 +  0.5   +   0.01

Answer:
e.301.07.

Explanation:
In the above-given question,
given that,
(3 x 100) + ( 1 x 1) + ( 3 x 0.01) + (1 x 0.01)
300 + 1 + 0.03 + 0.01

Answer:
f.620.80

Explanation:
In the above-given question,
given that,
(6 x 100) + ( 2 x 10) + ( 8 x 0.01) + (0 x 0.01)
600 + 20 + 0.08 + 0

Answer:
g.800.08

Explanation:
In the above-given question,
given that,
(8 x 100) + ( 0 x 1) + ( 8 x 0.01) + (0 x 0.01)
800 + 0 + 0.08 + 0.01

Eureka Math Grade 4 Module 6 Lesson 7 Exit Ticket Answer Key

Question 1.
Use the place value chart to answer the following questions. Express the value of the digit in unit form.

a. The digit ___8____ is in the hundreds place. It has a value of ________800___________.
b. The digit ___2____ is in the tens place. It has a value of _________20____________.
c. The digit ___6____ is in the tenths place. It has a value of ______0.6________________.
d. The digit ___4____ is in the hundredths place. It has a value of _____0.04____________.

Answer:
The digit 8 is in the hundreds place. It has a value of 800.
The digit 2 is in the tens place. It has a value of 20.
The digit 6 is in the tenths place. It has a value of 0.6.
The digit 4 is in the hundredths place. It has a value of 0.04.

Explanation:
In the above-given question,
given that,
The digit 8 is in the hundreds place. It has a value of 800.
8 x 100 = 800.
The digit 2 is in the tens place. It has a value of 20.
2 x 10 = 20.
The digit 6 is in the tenths place. It has a value of 0.6.
6/10 = 0.6.
The digit 4 is in the hundredths place. It has a value of 0.04.
4/100 = 0.04.

Question 2.
Complete the following chart.

Answer:
a. 420.02.

Explanation:
In the above-given question,
given that,
(4× 100) + (2 × \(\frac{1}{10}\)) + (2 × \(\frac{1}{100}\))
(4 × 100) + (2 × 10) + (0 × 0.1) + (2 × 0.01)
400 +  20 +  0   +   0.02
420.02.

Answer:
b. 39.02.

Explanation:
In the above-given question,
given that,
(3 × 100) + (9 × \(\frac{1}{10}\)) + (2 × \(\frac{1}{100}\))
(3 × 10) + (9 × 1) + (0 × 0.1) + (2 × 0.01)
30 +  9 +  0   +   0.02
39.02.

Eureka Math Grade 4 Module 6 Lesson 7 Homework Answer Key

Question 1.
Write a decimal number sentence to identify the total value of the place value disks.

Answer:
a.30.42.

Explanation:
In the above-given question,
given that,
3 tens + 4 tenths + 2 hundredths.
3 tens = 30.
4 tenths = 4/10.
4/10 = 0.4.
2 hundredths = 2/100.
2/100 = 0.02.
30 + 0.4 + 0.02 = 30.42.

Answer:
b.400.03.

Explanation:
In the above-given question,
given that,
4 hundred + 3 hundredths.
4 hundred = 400.
3 hundredths = 3/100.
3/100 = 0.03.
400 + 0.03 = 400.03.

Question 2.
Use the place value chart to answer the following questions. Express the value of the digit in unit form.

a. The digit ___8____ is in the hundreds place. It has a value of _____800__________.
b. The digit ___2____ is in the tens place. It has a value of ________20______________.
c. The digit ___6____ is in the tenths place. It has a value of ______0.6_____________.
d. The digit ___4____ is in the hundredths place. It has a value of _____0.04_____________.

Answer:
The digit 8 is in the hundreds place. It has a value of 800.
The digit 2 is in the tens place. It has a value of 20.
The digit 6 is in the tenths place. It has a value of 0.6.
The digit 4 is in the hundredths place. It has a value of 0.04.

Explanation:
In the above-given question,
given that,
The digit 8 is in the hundreds place. It has a value of 800.
8 x 100 = 800.
The digit 2 is in the tens place. It has a value of 20.
2 x 10 = 20.
The digit 6 is in the tenths place. It has a value of 0.6.
6/10 = 0.6.
The digit 4 is in the hundredths place. It has a value of 0.04.
4/100 = 0.04.

e. The digit ____3___ is in the hundreds place. It has a value of _______300______________.
f. The digit ___4____ is in the tens place. It has a value of _________40______________.
g. The digit ___1____ is in the tenths place. It has a value of ______0.1____________.
h. The digit ____9___ is in the hundredths place. It has a value of _____0.09_____________.

Answer:
The digit 3 is in the hundreds place. It has a value of 300.
The digit 4 is in the tens place. It has a value of 40.
The digit 1 is in the tenths place. It has a value of 0.1.
The digit 9 is in the hundredths place. It has a value of 0.09.

Explanation:
In the above-given question,
given that,
The digit 3 is in the hundreds place. It has a value of 300.
3 x 100 = 300.
The digit 4 is in the tens place. It has a value of 40.
4 x 10 = 40.
The digit 1 is in the tenths place. It has a value of 0.1.
1/10 = 0.1.
The digit 9 is in the hundredths place. It has a value of 0.09.
9/100 = 0.09.

Question 3.
Write each decimal as an equivalent fraction. Then, write each number in expanded form, using both decimal and fraction notation. The first one has been done for you.

Answer:
a.14.23.

Explanation:
In the above-given question,
given that,
(1 × 10) + (4 × 1) + (2 × 0.1) + (3 × 0.01)
10 + 4   +   0.2    +    0.03
14.23.

Answer:
b.25.3.

Explanation:
In the above-given question,
given that,
(2 × 10) + (5 × 1) + (2 × 0.1) + (5 × 0.01)
20 + 5   +   0.2    +    0.05
25.3.

Answer:
c.39.07.

Explanation:
In the above-given question,
given that,
(3 × 10) + (9 × 1) + (3 × 0.1) + (9 × 0.01)
30 + 9  +   0.3    +    0.09
39.07.

Answer:
d.49.6.

Explanation:
In the above-given question,
given that,
(4 × 10) + (0 × 1) + (4 × 0.1) + (0 × 0.01)
40 + 0   +   0.4    +    0.00
49.6.

Answer:
e.208.90.

Explanation:
In the above-given question,
given that,
(2 × 100) + (8 × 1) + (9 × 0.1) + (0 × 0.01)
200 + 8  +   0.9    +    0
208.90.

Answer:
f.510.07.

Explanation:
In the above-given question,
given that,
(5 × 100) + (1 × 10) + (0 × 0.1) + (7 × 0.01)
500 + 10  +   0   +    0.07
510.07.

Answer:
g.900.09.

Explanation:
In the above-given question,
given that,
(9 × 100) + (0 × 1) + (0 × 0.1) + (9 × 0.01)
900 + 0   +   0    +    0.09
900.09.

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.
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.

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.
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.

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

Engage NY Eureka Math 4th Grade Module 6 Lesson 5 Answer Key

Eureka Math Grade 4 Module 6 Lesson 5 Problem Set Answer Key

Question 1.
Find the equivalent fraction using multiplication or division. Shade the area models to show the equivalency. Record it as a decimal.

Answer:
a. 3  x  10 = 30.
10 x 10 = 100.

Explanation:
In the above-given question,
given that,
3 x 10 = 30.
10 x 10 = 100.
30/100 = 0.3.

Answer:
a. 50  /  10 = 5.
100 / 10 = 10.

Explanation:
In the above-given question,
given that,
50 / 10 = 5.
100 / 10 = 10.
5/10 = 0.5.

Question 2.
Complete the number sentences. Shade the equivalent amount on the area model, drawing horizontal lines to make hundredths.
a. 37 hundredths = ___3__tenths + __7__ hundredths
Fraction form: __37/100____
Decimal form: __0.37____

Answer:
37 hundredths = 3 tenths + 7 hundredths.
fraction form = 37/100.
decimal form = 0.37.

Explanation:
In the above-given question,
given that,
3 tenths = 3/10 = 0.3.
7 hundredths = 7/100 = 0.07.
0.3 + 0.07 = 0.37.
37 hundredths = 3 tenths + 7 hundredths.
fraction form = 37/100.
decimal form = 0.37.

b. 75 hundredths = __7__ tenths + __5__ hundredths
Fraction form: __75/100____
Decimal form: __0.75____

Answer:
75 hundredths = 7 tenths + 5 hundredths.
fraction form = 75/100.
decimal form = 0.75.

Explanation:
In the above-given question,
given that,
7 tenths = 7/10 = 0.7.
5 hundredths = 5/100 = 0.05.
0.7 + 0.05 = 0.75.
75 hundredths = 7 tenths + 5 hundredths.
fraction form = 75/100.
decimal form = 0.75.

Question 3.
Circle hundredths to compose as many tenths as you can. Complete the number sentences. Represent each with a number bond as shown.
a.

Answer:
12 hundredths = 1 tenths + 2 hundredths.
fraction form = 12/100.
decimal form = 0.12.

Explanation:
In the above-given question,
given that,
1 tenths = 1/10 = 0.1.
2 hundredths = 2/100 = 0.02.
0.1 + 0.02 = 0.12.
12 hundredths = 1 tenths + 2 hundredths.
fraction form = 12/100.
decimal form = 0.12.

b.
_27___ hundredths = ___2__ tenths + __7___ hundredths

Answer:
27 hundredths = 2 tenths + 7 hundredths.
fraction form = 27/100.
decimal form = 0.27.

Explanation:
In the above-given question,
given that,
2 tenths = 2/10 = 0.2.
7 hundredths = 7/100 = 0.07.
0.2 + 0.07 = 0.27.
27 hundredths = 2 tenths + 7 hundredths.
fraction form = 27/100.
decimal form = 0.27.

Question 4.
Use both tenths and hundredths place value disks to represent each number. Write the equivalent number in decimal, fraction, and unit form.
a. \(\frac{3}{100}\) = 0. _03_____
___3__ hundredths

Answer:
3 hundredths = 0 tenths + 3 hundredths.
fraction form = 3/100.
decimal form = 0.03.
unit form = 300.

Explanation:
In the above-given question,
given that,
0 tenths = 0/10 = 0.
3 hundredths = 3/100 = 0.03.
0 + 0.03 = 0.03.
3 hundredths = 0 tenths + 3 hundredths.
fraction form = 3/100.
decimal form = 0.03.
unit form = 300.

b. \(\frac{15}{100}\) = 0. __15____
__1___ tenth __5___ hundredths

Answer:
15 hundredths = 1 tenths + 5 hundredths.
fraction form = 15/100.
decimal form = 0.15
unit form = 250.

Explanation:
In the above-given question,
given that,
1 tenths = 1/10 = 0.1
5 hundredths = 5/100 = 0.15.
0.1 + 0.15 = 0.25.
15 hundredths = 1 tenths + 5 hundredths.
fraction form = 15/100.
decimal form = 0.15.
unit form = 250.

c. __72/100___ = 0.72
__72___ hundredths

Answer:
72 hundredths = 7 tenths + 2 hundredths.
fraction form = 72/100.
decimal form = 0.72.
unit form = 720.

Explanation:
In the above-given question,
given that,
7 tenths = 7/10 = 0.7.
2 hundredths = 2/100 = 0.02.
0.7 + 0.02 = 0.72.
72 hundredths = 7 tenths + 2 hundredths.
fraction form = 72/100.
decimal form = 0.72.
unit form = 720.

d. \(\frac{}{}\) = 0.80
__8___ tenths

Answer:
8 hundredths = 0 tenths + 8 hundredths.
fraction form = 8/100.
decimal form = 0.08.
unit form = 800.

Explanation:
In the above-given question,
given that,
0 tenths = 0/10 = 0.
8 hundredths = 8/100 = 0.08.
0 + 0.08 = 0.08.
8 hundredths = 0 tenths + 8 hundredths.
fraction form = 8/100.
decimal form = 0.08.
unit form = 800.

e. \(\frac{}{}\) = 0. __72___
7 tenths 2 hundredths

Answer:
72 hundredths = 7 tenths + 2 hundredths.
fraction form = 72/100.
decimal form = 0.72.
unit form = 700.

Explanation:
In the above-given question,
given that,
7 tenths = 7/10 = 0.7.
2 hundredths = 2/100 = 0.02.
0.7 + 0.02 = 0.72.
72 hundredths = 7 tenths + 2 hundredths.
fraction form = 72/100.
decimal form = 0.72.
unit form = 700.

f. \(\frac{}{}\) = 0. __80____
80 hundredths

Answer:
80 hundredths = 8 tenths + 0 hundredths.
fraction form = 8/10.
decimal form = 0.8.
unit form = 80.

Explanation:
In the above-given question,
given that,
8 tenths = 8/10 = 0.8.
0 hundredths = 0/100 = 0.
0.8 + 0 = 0.8.
80 hundredths = 8 tenths + 0 hundredths.
fraction form = 8/10.
decimal form = 0.8.
unit form = 80.

Eureka Math Grade 4 Module 6 Lesson 5 Exit Ticket Answer Key

Use both tenths and hundredths place value disks to represent each fraction. Write the equivalent decimal, and fill in the blanks to represent each in unit form.
Question 1.
\(\frac{7}{100}\) = 0._07____
__7_ hundredths

Answer:
7 hundredths = 0 tenths + 7 hundredths.
fraction form = 7/100.
decimal form = 0.07.
unit form = 700.

Explanation:
In the above-given question,
given that,
0 tenths = 0/10 = 0.
7 hundredths = 7/100 = 0.07.
0 + 0.07 = 0.07.
7 hundredths = 0 tenths + 7 hundredths.
fraction form = 7/100.
decimal form = 0.07.
unit form = 700.

Question 2.
\(\frac{34}{100}\) = 0.__34___
_3__ tenths _4__ hundredths

Answer:
34 hundredths = 3 tenths + 4 hundredths.
fraction form = 34/100.
decimal form = 0.34.
unit form = 340.

Explanation:
In the above-given question,
given that,
3 tenths = 3/10 = 0.3.
4 hundredths = 4/100 = 0.04.
0.3 + 0.04 = 0.04.
34 hundredths = 3 tenths + 4 hundredths.
fraction form = 34/100.
decimal form = 0.34.
unit form = 340.

Eureka Math Grade 4 Module 6 Lesson 5 Homework Answer Key

Question 1.
Find the equivalent fraction using multiplication or division. Shade the area models to show the equivalency. Record it as a decimal.

Answer:
4 x 10 = 40.
10 x 10 = 100.

Explanation:
In the above-given question,
given that,
4 x 10 = 40.
10 x 10 = 100.
4 x 10/ 10 x 10.
40/100 = 0.4.

Answer:
60 / 10 = 6.
100 / 10 = 10.

Explanation:
In the above-given question,
given that,
60 / 10 = 6.
100 / 10 = 10.
60 / 10/ 100 / 10.
6/10 = 0.6.

Question 2.
Complete the number sentences. Shade the equivalent amount on the area model, drawing horizontal lines to make hundredths.
a. 36 hundredths = ___3__ tenths + __6__ hundredths
Decimal form: ___0.36______
Fraction form: ___36/100______

Answer:
36 hundredths = 3 tenths + 6 hundredths.
fraction form = 36/100.
decimal form = 0.36.

Explanation:
In the above-given question,
given that,
3 tenths = 3/10 = 0.3.
6 hundredths = 6/100 = 0.06.
0.3 + 0.06 = 0.36.
36 hundredths = 3 tenths + 6 hundredths.
fraction form = 36/100.
decimal form = 0.36.

b. 82 hundredths = __8__ tenths + _2___ hundredths
Decimal form: ____0.82_____
Fraction form: __82/100_______

Answer:
82 hundredths = 8 tenths + 2 hundredths.
fraction form = 82/100.
decimal form = 0.82.

Explanation:
In the above-given question,
given that,
8 tenths = 8/10 = 0.8.
2 hundredths = 2/100 = 0.02.
0.8 + 0.02 = 0.82.
82 hundredths = 8 tenths + 2 hundredths.
fraction form = 82/100.
decimal form = 0.82.

Question 3.
Circle hundredths to compose as many tenths as you can. Complete the number sentences. Represent each with a number bond as shown.
a.
b.
__24__ hundredths = __2___ tenths + __4___ hundredths

Answer:
24 hundredths = 2 tenths + 4 hundredths.
fraction form = 24/100.
decimal form = 0.24.

Explanation:
In the above-given question,
given that,
2 tenths = 2/10 = 0.2.
4 hundredths = 4/100 = 0.04.
0.2 + 0.04 = 0.24.
24 hundredths = 2 tenths + 4 hundredths.
fraction form = 24/100.
decimal form = 0.24.

Question 4.
Use both tenths and hundredths place value disks to represent each number. Write the equivalent number in decimal, fraction, and unit form.
a. \(\frac{4}{100}\) = 0. _04____
__4___ hundredths

Answer:
4 hundredths = 0 tenths + 4 hundredths.
fraction form = 4/100.
decimal form = 0.04.

Explanation:
In the above-given question,
given that,
0 tenths = 0/10 = 0.
4 hundredths = 4/100 = 0.04.
0 + 0.04 = 0.04.
4 hundredths = 0 tenths + 4 hundredths.
fraction form = 4/100.
decimal form = 0.04.

b. \(\frac{13}{100}\) = 0. _13____
___1__tenth ___3__ hundredths

Answer:
13 hundredths = 1 tenths + 3 hundredths.
fraction form = 13/100.
decimal form = 0.13.

Explanation:
In the above-given question,
given that,
1 tenths = 1/10 = 0.1.
3 hundredths = 3/100 = 0.03.
0.1 + 0.03 = 0.13.
13 hundredths = 1 tenths + 3 hundredths.
fraction form = 13/100.
decimal form = 0.13.

c. __41/100___ = 0.41
___41__ hundredths

Answer:
41 hundredths = 4 tenths + 1 hundredths.
fraction form = 41/100.
decimal form = 0.41.

Explanation:
In the above-given question,
given that,
4 tenths = 4/10 = 0.4.
1 hundredths = 1/100 = 0.01.
0.4 + 0.01 = 0.41.
41 hundredths = 4 tenths + 1 hundredths.
fraction form = 41/100.
decimal form = 0.41.

d. \(\frac{}{}\) = 0.90
__9___ tenths

Answer:
90 hundredths = 9 tenths + 0 hundredths.
fraction form = 90/100.
decimal form = 0.90.

Explanation:
In the above-given question,
given that,
9 tenths = 9/10 = 0.9.
0 hundredths = 0/100 = 0.
0.9 + 0 = 0.9.
90 hundredths = 9 tenths + 0 hundredths.
fraction form = 90/100.
decimal form = 0.90.

e. \(\frac{}{}\) = 0. __63___
6 tenths 3 hundredths

Answer:
63 hundredths = 6 tenths + 3 hundredths.
fraction form = 63/100.
decimal form = 0.63.

Explanation:
In the above-given question,
given that,
6 tenths = 6/10 = 0.6.
3 hundredths = 3/100 = 0.03.
0.6 + 0.03 = 0.63.
63 hundredths = 6 tenths + 3 hundredths.
fraction form = 63/100.
decimal form = 0.63.

f. \(\frac{1}{2}\) = 0. _90___
90 hundredths

Answer:
90 hundredths = 9 tenths + 0 hundredths.
fraction form = 90/100.
decimal form = 0.90.

Explanation:
In the above-given question,
given that,
9 tenths = 9/10 = 0.9.
0 hundredths = 0/100 = 0.
0.9 + 0 = 0.9.
90 hundredths = 9 tenths + 0 hundredths.
fraction form = 90/100.
decimal form = 0.90.

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

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

Question 1.
Shade the area models to represent the number, drawing horizontal lines to make hundredths as needed. Locate the corresponding point on the number line. Label with a point, and record the mixed number as a decimal.
a. 1\(\frac{15}{100}\) = __1__ . _15___

Answer:
1 x 15/100 = 1.15.

Explanation:
In the above-given question,
given that,
1 x 15/100.
115/100.
1.15.

b. 2\(\frac{47}{100}\) = __2__ . __47__

Answer:
2 x 47/100 = 2.47.

Explanation:
In the above-given question,
given that,
2 x 47/100.
2 x 100 + 47.
247/100.
2.47.

Question 2.
Estimate to locate the points on the number lines.
a. 2\(\frac{95}{100}\)

Answer:
2 x 95/100 = 2.95.

Explanation:
In the above-given question,
given that,
2 x 95/100.
295/100.
2.95.

b. 7\(\frac{52}{100}\)

Answer:
7 x 52/100 = 7.52.

Explanation:
In the above-given question,
given that,
7 x 52/100.
752/100.
7.52.

Question 3.
Write the equivalent fraction and decimal for each of the following numbers.
a. 1 one 2 hundredths
b. 1 one 17 hundredths
c. 2 ones 8 hundredths
d. 2 ones 27 hundredths
e. 4 ones 58 hundredths
f. 7 ones 70 hundredths

Answer:
a.1\(\frac{2}{100}\).

Explanation:
In the above-given question,
given that,
1 one 2 hundredths.
1 x 2/100.
202/100.
2.02.

Answer:
b.1\(\frac{17}{100}\).

Explanation:
In the above-given question,
given that,
1 one 17 hundredths.
1 x 17/100.
117/100.
1.17.

Answer:
c.2\(\frac{8}{100}\).

Explanation:
In the above-given question,
given that,
2 one 8 hundredths.
2 x 8/100.
208/100.
2.08.

Answer:
d.2\(\frac{27}{100}\).

Explanation:
In the above-given question,
given that,
2 one 27 hundredths.
2 x 27/100.
227/100.
2.27.

Answer:
e.4\(\frac{58}{100}\).

Explanation:
In the above-given question,
given that,
4 one 58 hundredths.
4 x 58/100.
458/100.
4.58.

Answer:
f.7\(\frac{70}{100}\).

Explanation:
In the above-given question,
given that,
7 one 70 hundredths.
7 x 70/100.
770/100.
7.70.

Question 4.
Draw lines from dot to dot to match the decimal form to both the unit form and fraction form. All unit forms and fractions have at least one match, and some have more than one match.

Answer:
a.7 ones 13 hundredths.

Explanation:
In the above-given question,
given that,
7 one 13 hundredths.
7 x 13/100.
713/100.
7.13.

Answer:
b.7 ones 3 hundredths.

Explanation:
In the above-given question,
given that,
7 one 3 hundredths.
7 x 3/100.
73/100.
0.73.

Answer:
c.7 ones 3 tenths.

Explanation:
In the above-given question,
given that,
7 one 3 tenths.
7 x 3/10.
73/10.
7.3.

Answer:
d.7 tens 3 ones.

Explanation:
In the above-given question,
given that,
7 tens 3 ones.
7/10  x 3.
0.7 + 3.

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

Question 1.
Estimate to locate the points on the number lines. Mark the point, and label it as a decimal.
a. 7\(\frac{20}{100}\)

Answer:
a.7 ones 20 hundredths.

Explanation:
In the above-given question,
given that,
7 one 20 hundredths.
7 x 20/100.
720/100.
7.20.

b. 1\(\frac{75}{100}\)

Answer:
a.1 ones 75 hundredths.

Explanation:
In the above-given question,
given that,
1 one 75 hundredths.
1 x 75/100.
175/100.
1.75.

Question 2.
Write the equivalent fraction and decimal for each number.
a. 8 ones 24 hundredths
b. 2 ones 6 hundredths

Answer:
a.8\(\frac{24}{100}\).

Explanation:
In the above-given question,
given that,
8 one 24 hundredths.
8 x 24/100.
824/100.
8.24.

Answer:
b.2\(\frac{6}{100}\).

Explanation:
In the above-given question,
given that,
2 one 6 hundredths.
2 x 6/100.
206/100.
2.06.

Eureka Math Grade 4 Module 6 Lesson 6 Homework Answer Key

Question 1.
Shade the area models to represent the number, drawing horizontal lines to make hundredths as needed. Locate the corresponding point on the number line. Label with a point, and record the mixed number as a decimal.
a. 2\(\frac{35}{100}\) = __2_ . __35__

Answer:
2 x 35/100 = 2.35.

Explanation:
In the above-given question,
given that,
2 x 35/100.
2 x 100 + 35.
235/100.
2.35.

b. 3\(\frac{17}{100}\) = _3___ . __17__

Answer:
3 x 17/100 = 3.17.

Explanation:
In the above-given question,
given that,
3 x 17/100.
3 x 100 + 17.
317/100.
3.17.

Question 2.
Estimate to locate the points on the number lines.
a. 5\(\frac{90}{100}\)

b. 3\(\frac{25}{100}\)

Answer:
3 x 25/100 = 2.47.

Explanation:
In the above-given question,
given that,
3 x 25/100.
3 x 100 + 25.
325/100.
3.25.

Question 3.
Write the equivalent fraction and decimal for each of the following numbers.
a. 2 ones 2 hundredths
b. 2 ones 16 hundredths
c. 3 ones 7 hundredths
d. 1 one 18 hundredths
e. 9 ones 62 hundredths
f. 6 ones 20 hundredths

Answer:
a.2\(\frac{2}{100}\).

Explanation:
In the above-given question,
given that,
2 one 2 hundredths.
2 x 2/100.
202/100.
2.02.

Answer:
b.2\(\frac{16}{100}\).

Explanation:
In the above-given question,
given that,
2 one 16 hundredths.
2 x 16/100.
216/100.
2.16.

Answer:
c.3\(\frac{7}{100}\).

Explanation:
In the above-given question,
given that,
3 one 7 hundredths.
3 x 7/100.
307/100.
3.07.

Answer:
d.1\(\frac{18}{100}\).

Explanation:
In the above-given question,
given that,
1 one 18 hundredths.
1 x 18/100.
118/100.
1.18.

Answer:
e.9\(\frac{62}{100}\).

Explanation:
In the above-given question,
given that,
9 one 62 hundredths.
9 x 62/100.
962/100.
9.62.

Answer:
f.6\(\frac{20}{100}\).

Explanation:
In the above-given question,
given that,
6 one 20 hundredths.
6 x 20/100.
620/100.
6.20.

Question 4.
Draw lines from dot to dot to match the decimal form to both the unit form and fraction form. All unit forms and fractions have at least one match, and some have more than one match.

Answer:
a.4 ones 18 hundredths.

Explanation:
In the above-given question,
given that,
4 one 18 hundredths.
4 x 18/100.
418/100.
4.18.

Answer:
b.4 ones 8 hundredths.

Explanation:
In the above-given question,
given that,
4 one 8 hundredths.
4 x 8/100.
408/100.
4.08.

Answer:
c.4 ones 8 tenths.

Explanation:
In the above-given question,
given that,
4 one 8 tenths.
4 x 8/10.
48/10.
4.8.

Answer:
d.4 tens 8 ones.

Explanation:
In the above-given question,
given that,
4 tens 8 ones.
4/10 + 8.
40 + 8.
48.

Engage NY Eureka Math 4th Grade Module 6 Lesson 3 Answer Key

Eureka Math Grade 4 Module 6 Lesson 3 Problem Set Answer Key

Question 1.
Circle groups of tenths to make as many ones as possible.
a. How many tenths in all?

There are ____2_____ tenths.
Write and draw the same number using ones and tenths.
Decimal Form: ____2.8____
How much more is needed to get to 3? ____2 tenths_____

Answer:
There are 3 tenths.
decimal form = 1.8.
the more is needed to get to 3 = 2 tenths.

Explanation:
In the above-given question,
given that,
There are 3 tenths.
decimal form = 1.8.
the more is needed to get to 3 = 2 tenths.

b. How many tenths in all?

There are ___3______ tenths.
Write and draw the same number using ones and tenths.
Decimal Form: ___3.3______
How much more is needed to get to 4? __7 tenths_______

Answer:
There are 3 tenths.
decimal form = 3.3.
the more is needed to get to 4 = 7 tenths.

Explanation:
In the above-given question,
given that,
There are 3 tenths.
decimal form = 3.3.
the more is needed to get to 4 = 7 tenths.

Question 2.
Draw disks to represent each number using tens, ones, and tenths. Then, show the expanded form of the number in fraction form and decimal form as shown. The first one has been completed for you.
a. 4 tens 2 ones 6 tenths

Fraction Expanded Form
(4 × 10) + (2 × 1) + (6 × \(\frac{1}{10}\)) = 42\(\frac{6}{10}\)
Decimal Expanded Form
(4 × 10) + (2 × 1) + (6 × 0.1) = 42.6

b. 1 ten 7 ones 5 tenths
Answer:
17.5

Explanation:
In the above-given question,
given that,
Fraction Expanded Form
(1 × 10) + (7 × 1) + (5 × \(\frac{1}{10}\)) = 17\(\frac{5}{10}\)
Decimal Expanded Form
(1 × 10) + (7 × 1) + (1 × 0.5) = 17.5.

c. 2 tens 3 ones 2 tenths

Answer:
23.2

Explanation:
In the above-given question,
given that,
Fraction Expanded Form
(2 × 10) + (3 × 1) + (2 × \(\frac{1}{10}\)) = 23\(\frac{2}{10}\)
Decimal Expanded Form
(2 × 10) + (3 × 1) + (1 × 0.2) = 23.2.
20 +3 + 0.2 = 23.2

d. 7 tens 4 ones 7 tenths

Answer:
74.7

Explanation:
In the above-given question,
given that,
Fraction Expanded Form
(7 × 10) + (4 × 1) + (7 × \(\frac{1}{10}\)) = 74\(\frac{7}{10}\)
Decimal Expanded Form
(7 × 10) + (4 × 1) + (1 × 0.7) = 74.7.
70 + 4 + 0.7 = 74.7

Question 3.
Complete the chart.

Answer:
a.decimal form = 3.9.
mixed number = 3(9/10).
expanded form = (3 x 10) + (9 x 1) + (3 x 1/10).
how much to get to the next one = 0.1.

Explanation:
In the above-given question,
given that,
decimal form = 3.9.
mixed number = 3(9/10).
expanded form = (3 x 10) + (9 x 1) + (3 x 1/10).
how much to get to the next one = 0.1.

Answer:
b.decimal form = 17.5.
mixed number = 17(5/10).
expanded form = (17 x 10) + (5 x 1) + (17 x 1/10).
how much to get to the next one = 0.5.

Explanation:
In the above-given question,
given that,
decimal form = 17.5.
mixed number = 17(5/10).
expanded form = (17 x 10) + (5 x 1) + (17 x 1/10).
how much to get to the next one = 0.5.

Answer:
c.decimal form = 7.4.
mixed number = 7(4/10).
expanded form = (7 x 10) + (4 x 1) + (7 x 1/10).
how much to get to the next one = 0.6.

Explanation:
In the above-given question,
given that,
decimal form = 7.4.
mixed number = 7(4/10).
expanded form = (7 x 10) + (4 x 1) + (7 x 1/10).
how much to get to the next one = 0.6.

Answer:
d.decimal form = 22.2.
mixed number = 22(2/10).
expanded form = (22 x 10) + (2 x 1) + (22 x 1/10).
how much to get to the next one = 0.8.

Explanation:
In the above-given question,
given that,
decimal form = 22.2.
mixed number = 22(2/10).
expanded form = (22 x 10) + (2 x 1) + (22 x 1/10).
how much to get to the next one = 0.8.

Answer:
e.decimal form = 8.1.
mixed number = 8(1/10).
expanded form = (8 x 10) + (1 x 1) + (8 x 1/10).
how much to get to the next one = 8.1.

Explanation:
In the above-given question,
given that,
decimal form = 8.1.
mixed number = 8(1/10).
expanded form = (8 x 10) + (1 x 1) + (8 x 1/10).
how much to get to the next one = 8.1.

Eureka Math Grade 4 Module 6 Lesson 3 Exit Ticket Answer Key

Question 1.
Circle groups of tenths to make as many ones as possible.
How many tenths in all?

There are ____1_____ tenths.
Write and draw the same number using ones and tenths.
Decimal Form: ___1.8______
How much more is needed to get to 2? ___2 tenths______

Answer:
There is 1 tenth.
decimal form = 1.8.
the more is needed to get to 2 = 2 tenths.

Explanation:
In the above-given question,
given that,
There is 1 tenth.
decimal form = 1.8.
the more is needed to get to 2 = 2 tenths.

Question 2.
Complete the chart.

Answer:
a.decimal form = 12.9.
mixed number = 12(9/10).
expanded form = (12 x 10) + (9 x 1) + (12 x 1/10).
how much to get to the next one = 0.1.

Explanation:
In the above-given question,
given that,
decimal form = 12.9.
mixed number = 12(9/10).
expanded form = (12 x 10) + (9 x 1) + (12 x 1/10).
how much to get to the next one = 0.1.

Answer:
b.decimal form = 70.7.
mixed number = 70(7/10).
expanded form = (70 x 10) + (7 x 1) + (70 x 1/10).
how much to get to the next one = 0.3.

Explanation:
In the above-given question,
given that,
decimal form = 70.7.
mixed number = 70(7/10).
expanded form = (70 x 10) + (7 x 1) + (70 x 1/10).
how much to get to the next one = 0.3.

Eureka Math Grade 4 Module 6 Lesson 3 Homework Answer Key

Question 1.
Circle groups of tenths to make as many ones as possible.
a. How many tenths in all?

There are ____1_____ tenths.
Write and draw the same number using ones and tenths.
Decimal Form: _____1.4____
How much more is needed to get to 2? ___6 tenths_____

Answer:
There is 1 tenth.
decimal form = 1.4.
the more is needed to get to 2 = 6 tenths.

Explanation:
In the above-given question,
given that,
There is 1 tenth.
decimal form = 1.4.
the more is needed to get to 2 = 6 tenths.

b. How many tenths in all?

There are ____2_____ tenths.
Write and draw the same number using ones and tenths.
Decimal Form: ____2.5_____
How much more is needed to get to 3? __5 tenths_____

Answer:
There are 2 tenths.
decimal form = 2.5.
the more is needed to get to 3 = 5 tenths.

Explanation:
In the above-given question,
given that,
There are 2 tenths.
decimal form = 2.5.
the more is needed to get to 3 = 5 tenths.

Question 2.
Draw disks to represent each number using tens, ones, and tenths. Then, show the expanded form of the number in fraction form and decimal form as shown. The first one has been completed for you.
a. 3 tens 4 ones 3 tenths

Fraction Expanded Form
(3 × 10)+ (4 × 1) + (3 × \(\frac{1}{10}\)) = 34\(\frac{3}{10}\)

Decimal Expanded Form
(3 × 10) + (4 × 1) + (3 × 0.1) = 34.3

Answer:
34.3

Explanation:
In the above-given question,
given that,
Fraction Expanded Form
(3 × 10) + (4 × 1) + (3 × \(\frac{1}{10}\)) = 34\(\frac{3}{10}\)
Decimal Expanded Form
(3 × 10) + (4 × 1) + (3 × 0.1) = 34.3.
30 + 4 + 0.3 = 34.3

b. 5 tens 3 ones 7 tenths

Answer:
53.7

Explanation:
In the above-given question,
given that,
Fraction Expanded Form
(5 × 10) + (3 × 1) + (7 × \(\frac{1}{10}\)) = 534\(\frac{7}{10}\)
Decimal Expanded Form
(5 × 10) + (3 × 1) + (1 × 0.7) = 53.7.
50 + 3 + 0.7 = 53.7

c. 3 tens 2 ones 3 tenths

Answer:
32.3

Explanation:
In the above-given question,
given that,
Fraction Expanded Form
(3 × 10) + (2 × 1) + (3 × \(\frac{1}{10}\)) = 32\(\frac{3}{10}\)
Decimal Expanded Form
(3 × 10) + (2 × 1) + (1 × 0.3) = 32.3.
30 + 2 + 0.3 = 32.3

d. 8 tens 4 ones 8 tenths

Answer:
84.8

Explanation:
In the above-given question,
given that,
Fraction Expanded Form
(8 × 10) + (4 × 1) + (8 × \(\frac{1}{10}\)) = 84\(\frac{8}{10}\)
Decimal Expanded Form
(8 × 10) + (4 × 1) + (1 × 0.8) = 84.8.
80 + 4 + 0.8 = 84.8

Question 3.
Complete the chart.

Answer:
a.decimal form = 4.6.
mixed number = 4(6/10).
expanded form = (4 x 10) + (6 x 1) + (4 x 1/10).
how much to get to the next one = 0.4.

Explanation:
In the above-given question,
given that,
decimal form = 4.6.
mixed number = 4(6/10).
expanded form = (4 x 10) + (6 x 1) + (4 x 1/10).
how much to get to the next one = 0.4.

Answer:
b.decimal form = 24.5.
mixed number = 24(5/10).
expanded form = (24 x 10) + (5 x 1) + (24 x 1/10).
how much to get to the next one = 0.5.

Explanation:
In the above-given question,
given that,
decimal form = 24.5.
mixed number = 24(5/10).
expanded form = (24 x 10) + (5 x 1) + (24 x 1/10).
how much to get to the next one = 0.5.

Answer:
c.decimal form = 6.3.
mixed number = 6(3/10).
expanded form = (6 x 10) + (3 x 1) + (6 x 1/10).
how much to get to the next one = 0.7.

Explanation:
In the above-given question,
given that,
decimal form = 6.3.
mixed number = 6(3/10).
expanded form = (6 x 10) + (3 x 1) + (6 x 1/10).
how much to get to the next one = 0.7.

Answer:
d.decimal form = 71.3.
mixed number = 71(3/10).
expanded form = (71 x 10) + (3 x 1) + (71 x 1/10).
how much to get to the next one = 0.7.

Explanation:
In the above-given question,
given that,
decimal form = 71.3.
mixed number = 71(3/10).
expanded form = (71 x 10) + (3 x 1) + (71 x 1/10).
how much to get to the next one = 0.7.

Answer:
e.decimal form = 9.9.
mixed number = 9(9/10).
expanded form = (9 x 10) + (9 x 1) + (9 x 1/10).
how much to get to the next one = 0.1.

Explanation:
In the above-given question,
given that,
decimal form = 9.9.
mixed number = 9(9/10).
expanded form = (9 x 10) + (9 x 1) + (9 x 1/10).
how much to get to the next one = 0.1.

Engage NY Eureka Math 4th Grade Module 6 Lesson 2 Answer Key

Eureka Math Grade 4 Module 6 Lesson 2 Problem Set Answer Key

Question 1.
For each length given below, draw a line segment to match. Express each measurement as an equivalent mixed number.
a. 2.6 cm
b. 3.4 cm
c. 3.7 cm
d. 4.2 cm
e. 2.5 cm

Answer:
a. decimal form = 2.6.
equivalent mixed number = 2 x 10/ 6 x 10.

Explanation:
In the above-given question,
given that,
2.6 = 2 x 6/10.
2 x 10/ 6 x 10 = 2/6.

b.decimal form = 3.4.
equivalent mixed number = 3 x 10/ 4 x 10.

Explanation:
In the above-given question,
given that,
3.4 = 3 x 4/10.
3 x 10/ 4 x 10 = 3/4.

c.decimal form = 3.7.
equivalent mixed number = 3 x 10/ 7 x 10.

Explanation:
In the above-given question,
given that,
3.7 = 3 x 7/10.
3 x 10/ 7 x 10 = 3/7.

d.decimal form = 4.2.
equivalent mixed number = 4 x 10/ 2 x 10.

Explanation:
In the above-given question,
given that,
4.2 = 4 x 2/10.
4 x 10/ 2 x 10 = 4/2.

e.decimal form = 2.5.
equivalent mixed number = 2 x 10/ 5 x 10.

Explanation:
In the above-given question,
given that,
2.5 = 2 x 5/10.
2 x 10/ 5 x 10 = 2/5.

Question 2.
Write the following as equivalent decimals. Then, model and rename the number as shown below.
a. 2 ones and 6 tenths = ___2.6_______

2\(\frac{6}{10}\) = 2 + \(\frac{6}{10}\) = 2 + 0.6 = 2.6

Answer:
2 + 0.6 = 2.6.

Explanation:
In the above-given question,
given that,
2 ones and 6 tenths.
2\(\frac{6}{10}\).
2 + \(\frac{6}{10}\).
2 + 0.6 = 2.6

b. 4 ones and 2 tenths = ____4.2______

Answer:
4 + 0.2 = 4.2.

Explanation:
In the above-given question,
given that,
4 ones and 2 tenths.
4\(\frac{2}{10}\).
4 + \(\frac{2}{10}\).
4 + 0.2 = 4.2.

c. 3\(\frac{4}{10}\) = ___3.4_____

Answer:
3 + 0.4 = 3.4.

Explanation:
In the above-given question,
given that,
3 ones and 4 tenths.
3\(\frac{4}{10}\).
3 + \(\frac{4}{10}\).
3 + 0.4 = 3.4.

d. 2\(\frac{5}{10}\) = ____2.5_____