## 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.

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

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

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.

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)

 Fruit ones . tenths hundredths avocado 2 0.2 2/10 2/100 apple 12 0.12 12/10 12/100 bananas 6 0.6 6/10 6/100 grapes 61 0.61 61/10 61/100

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.

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.
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)

 Cylinder ones . tenths hundredths A   0.6 liters 6 0.6 6/10 6/100 B    0.3 liters 3 0.3 3/10 3/100 C     0.9 liters 9 0.9 9/10 9/100 D    0.97 liters 97 0.97 97/10 97/100 E    0.19 liters 19 0.19 19/10 19/100 F   0.48 liters 48 0.48 48/10 48/100

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.

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.

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.

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

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.

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.

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

a. baseball = 0.15 kg.
volleyball= 0.62 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.
soccer ball = 0.25 kg.

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

Mass of Sport Balls (kilograms)

 Sport Balls ones . tenths hundredths baseball          0.15 kg 15 0.15 15/10 15/100 volleyball       0.62 kg 62 0.62 62/10 62/100 basketball      0.43 kg 43 0.43 43/10 43/100 soccer ball     0.25 kg 25 0.25 25/10 25/100

a. baseball = 0.15 kg.
volleyball= 0.62 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.
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.

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.
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)

 Cylinder ones . tenths hundredths A 0.7 liter 7 0.7 7/10 7/100 B 0.62 liter 62 0.62 62/10 62/100 C 0.28 liter 28 0.28 28/10 28/100 D 0.4 liter 4 0.4 4/10 4/100 E 0.85 liter 85 0.85 85/10 85/100 F 0.2 liter 2 0.2 2/10 2/100

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.

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.