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

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, 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?

Answer:

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?

Answer:

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

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 inâ€”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 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.

Answer:

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.

Answer:

17 miles.

Explanation:

Given,

Rayâ€™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 Ã— 5

= 17 miles