## 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.