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 \(\frac{73}{100}\) ?

Answer:

\(\frac{8}{10}\).

a. Explain why you think so.

Answer:

\(\frac{8}{10}\) 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.

Answer:

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

Explanation:

c. Record each fraction as a decimal number.

\(\frac{8}{10}\) = _______ \(\frac{73}{100}\) = _________

Answer:

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 \(\frac{73}{100}\) is 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.

Answer:

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

Answer:

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 _____

Answer:

2.83

Explanation:

The decimal for the number is 2.83.

b. One and six hundredths _________

Answer:

1.06

Explanation:

The decimal for the number is 1.06.

Question 4.

Write this decimal number in words: 2.94.

Answer:

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

Answer:

> greater than.

Explanation:

0.8 is greater than 0.78

0.8 > 0.78

b. 0.56 ____ 0.6

Answer:

<

Explanation:

0.56 is less than 0.6

0.56 < 0.6

c. 0.6 ____ 0.60

Answer:

=

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.

Answer:

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.

Answer:

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, Charlie’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 Charlie’s chameleon grow in the last year?

Answer:

0.94 inch

Explanation:

Given,

Charlie’s chameleon was 8.42 inches long.

Now his chameleon is 9.36 inches long.

To find: How much did Charlie’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?

Answer:

0.64 inch

Explanation:

Given,

Charlie’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

Answer:

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: _______

Answer:

6.07

Explanation:

The decimal number for the given word is 6.07.

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

Answer:

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.

Answer:

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

Answer:

<

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

Answer:

>

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

Answer:

<

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

Answer:

=

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

Answer:

<

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 in—one with denominator 10 and an equivalent fraction with denominator 100.

ex

a.

Answer:

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

Explanation:

b.

Answer:

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

Explanation:

c.

Answer:

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 Jewel’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 ¢.

Explanation:

Ray had 5 quarters

1 quarter = 25 cents

5 quarters = 5 × 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.

Ray’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.

Answer:

3.4 miles

Explanation:

Given,

Ray’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.

Answer:

17 miles.

Explanation:

Given,

Ray’s school is 1.7 miles from his house.

To find: How many miles does he walk in a 5-day school week?

= 3.4 × 5

= 17 miles