# Bridges in Mathematics Grade 4 Home Connections Unit 3 Module 3 Answer Key

Practicing the Bridges in Mathematics Grade 4 Home Connections Answer Key Unit 3 Module 3 will help students analyze their level of preparation.

## Bridges in Mathematics Grade 4 Home Connections Answer Key Unit 3 Module 3

Bridges in Mathematics Grade 4 Home Connections Unit 3 Module 3 Session 2 Answer Key

More Comparing Decimals & Fractions

Question 1.
Which fraction is larger: $$\frac{8}{10}$$ or $$\frac{73}{100}$$ ?
$$\frac{8}{10}$$.

a. Explain why you think so.
$$\frac{8}{10}$$ is greater than $$\frac{73}{100}$$.

Explanation:
$$\frac{8}{10}$$ = $$\frac{80}{100}$$
$$\frac{80}{100}$$ > $$\frac{73}{100}$$

b. Draw each fraction on a grid below to verify your answer.

We have drawn each fraction on a grid below to verify our answer.

Explanation:

c. Record each fraction as a decimal number.
$$\frac{8}{10}$$ = _______ $$\frac{73}{100}$$ = _________
0.8 or 0.80 and 0.73

Explanation:
Given,
The decimal number for the given fraction $$\frac{8}{10}$$ is 0.80
The decimal number for the given fraction $$\frac{73}{100}$$ isÂ  0.73

Question 2.
On the first grid below, shade a number between 0.75 and 0.8 and label it. Then shade in and label a different number between 0.75 and 0.8 on the second grid.

a. Compare the two numbers you shaded in the grids. Write an inequality using the symbol < or > to show which number is larger.
The inequality symbol used in this question is <.

Explanation:
0.76 is less than 0.79
0.76 < 0.79

Question 3.
Write these numbers as decimals:

a. Two and eighty-three hundredths _____
2.83

Explanation:
The decimal for the number is 2.83.

b. One and six hundredths _________
1.06

Explanation:
The decimal for the number is 1.06.

Question 4.
Write this decimal number in words: 2.94.
Two and ninety-four hundredths.

Explanation:
The decimal number in words is Two and ninety-four hundredths.

Question 5.
Fill in each blank with <, >, or =.

a. 0.8 _____ 0.78
> greater than.

Explanation:
0.8 is greater than 0.78
0.8 > 0.78

b. 0.56 ____ 0.6
<

Explanation:
0.56 is less than 0.6
0.56 < 0.6

c. 0.6 ____ 0.60
=

Explanation:
0.6 is equal to 0.60
0.6 = 0.60

Question 6.
Allison says that 1.06 is bigger than 1.2 because 6 is bigger than 2. Do you agree or disagree? Explain.
She is incorrect.

Explanation:
Given,
Allison says that 1.06 is bigger than 1.2 because 6 is bigger than 2.
but what Allison said is incorrect.
1.06 is less than 1.2
1.06 < 1.2

Question 7.
Erik is 4.23 feet tall. Stacy is 4.3 feet tall. Who is taller? Explain.
Stacy is taller.

Explanation:
Given,
Erik is 4.23 feet tall
Stacy is 4.3 feet tall
by comparing both heights we can tell that Stacy is taller.
4.3 > 4.23

Question 8.
CHALLENGE One year ago, Charlieâ€™s chameleon was 8.42 inches long. Now his chameleon is 9.36 inches long. Show your work with numbers, labeled sketches, or words for each question below.

a. How much did Charlieâ€™s chameleon grow in the last year?
0.94 inch

Explanation:
Given,
Charlieâ€™s chameleon was 8.42 inches long.
Now his chameleon is 9.36 inches long.
To find: How much did Charlieâ€™s chameleon grow in the last year?
9.36 – 8.42 = 0.94-inch

b. How much more does his chameleon need to grow to be exactly 10 inches?
0.64 inch

Explanation:
Given,
Charlieâ€™s chameleon was 9.36 inches long.
chameleons need to grow to be exactly 10 inches.
To find: How much more does his chameleon need to grow to be exactly 10 inches?
10 – 9.36 = 0.64 inch.

Bridges in Mathematics Grade 4 Home Connections Unit 3 Module 3 Session 4 Answer Key

Decimals, Fractions & Story Problems

Question 1.
Write the place value of the underlined digit in each number. The place values are spelled correctly for you here:
hundreds tens ones tenths hundredths

We have written the place value of the underlined digit in each number.

Explanation:

Question 2.
Write each decimal number.
ex Twenty-three and two-tenths: 23.2
ex One hundred thirty and five-hundredths: 130.05

a. Six and seven-hundredths: _______
6.07

Explanation:
The decimal number for the given word is 6.07.

b. Two-hundred sixty-five and eight-tenths: ______
265.8

Explanation:
The decimal number for the given word is 265.8

Question 3.
Write each fraction or mixed number as a decimal number.

We have written each fraction or mixed number as a decimal number.

Explanation:

Question 4.
Use a greater than (>), less than (<), or equal sign to show the relationship between the decimal numbers below.
ex
1.09 1.9

a.
1.12 1.2
<

Explanation:
Given,
The numbers are 1.12 and 1.2
1.12 is less than 1.2
1.12 < 1.2

b.
3.5 3.48
>

Explanation:
Given,
The numbers are 3.5 and 3.48
3.5 is greater than 3.48
3.5 > 3.48

c.
23.81 23.85
<

Explanation:
Given,
The numbers are 23.81 and 23.85
23.81 is less than 23.85
23.81 < 23.85

d.
4.50 4.5
=

Explanation:
Given,
The numbers are 4.50 and 4.5
4.50 is equal to 4.5
4.50 = 4.5

e.
3.06 3.65
<

Explanation:
The given numbers are 3.06 and 3.65
3.06 is less than 3.65
3.06 < 3.65

Question 5.
Write two fractions to show what part of each mat has been shaded inâ€”one with denominator 10 and an equivalent fraction with denominator 100.
ex

a.

The two fractions show what part of each mat has been shaded in the given figure.

Explanation:

b.

The two fractions show what part of each mat has been shaded in the given figure.

Explanation:

c.

The two fractions show what part of each mat has been shaded in the given figure.

Explanation:

Question 6.
Last Friday, Ray went home with his cousin Jewel after school. They took the city bus to Jewelâ€™s house. It costs $1.65 to ride the bus. Ray had 5 quarters, a dime, and 3 nickels. How much more money did he need to ride the bus? Show all your work. Answer: 15 Â¢. Explanation: Ray had 5 quarters 1 quarter = 25 cents 5 quarters = 5 Ã— 25 = 125 cents. 1 dime = 10 cents 1 nickel = 5 cents 3 nickels = 15 cents Total money =125 + 10 + 15 = 150 cents =$ 1.5
The money he needs to ride the bus is $1.65 –$1.5 = $0.15 = 15 cents a. How much did it cost Ray and Jewel to ride the bus in all? Show all your work. Answer:$3.30

Explanation:
Given,
It costs $1.65 to ride the bus$1.65 + $1.65 =$3.30

Question 7.
Rayâ€™s school is 1.7 miles from his house. He walks to and from school every day. How many miles does he walk each day? Show all your work.
3.4 miles

Explanation:
Given,
Rayâ€™s school is 1.7 miles from his house.
1.7 + 1.7 = 3.4 miles

a. CHALLENGE How many miles does he walk in a 5-day school week? Show all your work.