## 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, $$\frac{32}{100}$$

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$$\frac{85}{100}$$, $$\frac{38}{10}$$, $$\frac{364}{100}$$

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

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

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.

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.

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?

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?

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, $$\frac{102}{100}$$

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

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, $$\frac{67}{100}$$

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

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$$\frac{3}{100}$$

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$$\frac{1}{10}$$

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?

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?

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.

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