## Math Expressions Common Core Grade 4 Unit 7 Lesson 10 Answer Key Compare Decimals to Hundredths

**Math Expressions Grade 4 Unit 7 Lesson 10 Homework**

**Write the decimal numbers that come next.**

Question 1.

0.05 0.06 0.07 _______ ________ ________ _________

Answer: 0.08 0.09 0.10 0.11

Explanation:

For every successor 0.01 is added,

0.07 + 0.01 = 0.08

0.08 + 0.01 = 0.09

0.09 + 0.01 = 0.10

0.10 + 0.01 = 0.11

Question 2.

0.26 0.27 0.28 _______ ________ ________ _________

Answer: 0.29 0.30 0.31 0.32

Explanation:

For every successor 0.01 is added,

0.28 + 0.01 = 0.29

0.29 + 0.01 = 0.30

0.30 + 0.01 = 0.31

0.31 + 0.01 = 0.32

Question 3.

0.3 0.4 0.5 _______ ________ ________ _________

Answer: 0.6 0.7 0.8 0.9

Explanation:

For every successor 0.01 is added,

0.05 + 0.01 = 0.06

0.06 + 0.01 = 0.07

0.07 + 0.01 = 0.08

0.08+ 0.01 = 0.09

**Write each number in decimal form.**

Question 4.

9 tenths __________

Answer: 0.9

Explanation:

Since 9 tens is 9 over tens,

9 tens as a Fraction is \(\frac{9}{10}\)

If you divide 9 by tens you get 9 tens as a decimal which is 0.9

Question 5.

5 hundredths __________

Answer: 0.05

Explanation:

Since 5 hundredths is 5 over hundred,

5 hundredths as a Fraction is \(\frac{5}{100}\)

If you divide 5 by hundred you get 5 hundredths as a decimal which is 0.05

Question 6.

29 hundredths _________

Answer: 0.29

Explanation:

Since 29 hundredths is 29 over hundred,

29 hundredths as a Fraction is \(\frac{29}{100}\)

If you divide 29 by hundred you get 29 hundredths as a decimal which is 0.29

Question 7.

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

Answer: 0.73

Explanation:

Since 73 hundredths is 73 over hundred,

73 hundredths as a Fraction is \(\frac{73}{100}\)

If you divide 73 by hundred you get 73 hundredths as a decimal which is 0.73

Question 8.

\(\frac{2}{10}\) __________

Answer: 0.2

Explanation:

Since 2 tens is 2 over tens,

2 tens as a Fraction is \(\frac{2}{10}\)

If you divide 2 by ten you get 2 tens as a decimal which is 0.2

Question 9.

\(\frac{8}{100}\) ___________

Answer: 0.08

Explanation:

Since 9 hundredths is 8 over hundred,

8 hundredths as a Fraction is \(\frac{8}{100}\)

If you divide 8 by hundred you get 8 hundredths as a decimal which is 0.08

Question 10.

4 pennies ________

Answer: 0.04

Explanation:

1penny = 1 cent (100)

4 pennies = 400 cents

So, \(\frac{4}{100}\) = 0.04

Question 11.

3 quarters _________

Answer: 0.75

1 quarter = 25

3 quarters = 25×3 = 75

So, \(\frac{75}{100}\) = 0.75

Question 12.

6 dimes and 1 nickel _________

Answer: 0.65

Explanation:

1 dime = 10 cents

6 dimes = 10 x 6 =60 cents

1 nickel = 5 cents

So, 6 dimes and 1 nickel = 60 + 5 = 65

\(\frac{65}{100}\) = 0.65

**Solve.**

A small jar contains 4 white gumballs and 6 red gumballs.

Question 13.

What decimal number shows which part of the gumballs are red? __________

Answer: 0.6

Explanation:

Total number of gumballs = 4 white + 6 red gumballs = 10

Decimal part of red gumballs = \(\frac{6}{10}\) = 0.6

Question 14.

What decimal number shows which part of the gumballs are white? ___________

Answer: 0.4

Explanation:

Total number of gumballs = 4 white + 6 red gumballs = 10

Decimal part of white gumballs = \(\frac{4}{10}\) = 0.4

Question 15.

A large jar of 100 gumballs has the same fractions of red gumballs and white gumballs as the small jar. How many gumballs in the large jar are red? _________ How many are white? __________

Answer:

50 red gumballs and 50 white gumballs

Explanation:

Total gum balls = 100

Same fraction of red gumballs and white gumballs = \(\frac{50}{100}\) + \(\frac{50}{100}\)

So, in decimals 0.5 red gum balls and

0.5 white gum balls

Question 16.

A sidewalk has 100 squares. There are cracks in 9 of the squares. What decimal number shows what part of the sidewalk is cracked? ___________

Answer: 0.09

Explanation:

Total sidewalk = 100 squares

Number of cracks = 9

Cracked sidewalk in decimals = \(\frac{9}{100}\) = 0.09

Question 17.

What fraction shows what part of the sidewalk is cracked? __________

Answer:

\(\frac{9}{100}\)

Explanation:

A side walk has 100 squares

Number of cracks in side walk is 9

So, the fraction of side walk cracked is \(\frac{9}{100}\)

**Write each decimal tenth as a decimal hundredth.**

Question 18.

0.6 = __________

Answer:

6 tenths

Explanation:

1 whole = 10 tenths

1 tenth = 0.1

So, 0.6 = 6 tenths

Question 19.

0.2 = _________

Answer:

2 tenths

Explanation:

1 whole = 10 tenths

1 tenth = 0.1

So, 0.2 = 2 tenths

Question 20.

0.5 = ___________

Answer:

5 tenths

Explanation:

1 whole = 10 tenths

1 tenth = 0.1

So, 0.5 = 5 tenths

**Math Expressions Grade 4 Unit 7 Lesson 10 Remembering**

**Solve. Show your work.**

Question 1.

Mena bought a 1-gallon jug of water. How many 2-cup servings are in the jug?

Answer:

8 (2-cup servings are in the jug)

Explanation :

There are 16 cups of 8 ounce in a gallon. We know that 1 gallon = 128 ounces.

Question 2.

Kaden’s filled backpack weighs 7 pounds. How many ounces does the backpack weigh?

Answer:

112 ounce

Explanation:

1 pound (lb) is equal to 16 ounces (oz):. 1 lb = 16 oz

16 x 7 = 112 oz

**Add or subtract.**

Question 3.

\(\frac{7}{8}\) – \(\frac{3}{8}\) = ____________

Answer:

\(\frac{4}{8}\)

Explanation:

\(\frac{7}{8}\) – \(\frac{3}{8}\)

By subtracting the smaller number from bigger number in the numerators and taking common denominator, we get

\(\frac{4}{8}\)

Question 4.

\(\frac{1}{4}\) + \(\frac{3}{4}\) = ___________

Answer: 1

Explanation:

\(\frac{1}{4}\) + \(\frac{3}{4}\)

By adding numerators and taking common denominator, we get

\(\frac{4}{4}\)

By simplifying we get 1

Question 5.

10\(\frac{11}{12}\) – 5\(\frac{4}{12}\) = ___________

Answer:

\(\frac{67}{12}\)

Explanation:

10\(\frac{11}{12}\) – 5\(\frac{4}{12}\)

Firstly convert mixed fraction to improper fraction

\(\frac{131}{12}\) – \(\frac{64}{12}\)

By subtracting the smaller number from bigger number in the numerator and taking common denominator, we get

\(\frac{67}{12}\)

Question 6.

\(\frac{2}{3}\) + \(\frac{2}{3}\) = ____________

Answer:

\(\frac{4}{3}\)

Explanation:

\(\frac{2}{3}\) + \(\frac{2}{3}\)

By adding numerators and taking common denominator, we get

\(\frac{4}{3}\)

Question 7.

\(\frac{4}{9}\) + 3\(\frac{4}{9}\) = ____________

Answer:

\(\frac{35}{9}\)

Explanation:

\(\frac{4}{9}\) + 3\(\frac{4}{9}\)

Firstly convert the mixed fraction 3\(\frac{4}{9}\) into improper fraction,

We get, \(\frac{31}{9}\)

Then add \(\frac{4}{9}\) + \(\frac{31}{9}\)

By adding numerators and taking denominator as common ,

We get, \(\frac{35}{9}\)

Question 8.

8\(\frac{5}{6}\) – 4\(\frac{4}{6}\) = ___________

Answer:

\(\frac{25}{6}\)

Explanation:

8\(\frac{5}{6}\) – 4\(\frac{4}{6}\)

Firstly convert the mixed fractions to improper fractions, we get

\(\frac{53}{6}\) – \(\frac{28}{6}\)

By subtracting the smaller number from bigger number, we get

\(\frac{25}{6}\)

**Write these amounts as decimal numbers.**

Question 9.

8 tenths ___________

Answer: 0.8

Explanation:

1 whole = 10 tenths

1 tenth = 0.1

So, 8 tenths = 0.8

Question 10.

5 hundredths ___________

Answer: 0.05

Explanation:

1 whole = 100 hundredth

1 hundredth = 0.01

So, 5 hundredths = 0.05

Question 11.

27 hundredths ___________

Answer: 0.27

Explanation:

1 whole = 100 hundredth

1 hundredth = 0.01

So, 27 hundredths = 0.27

Question 12.

\(\frac{2}{100}\) __________

Answer: 0.02

Explanation:

1 whole = 100 hundredth

1 hundredth = 0.01

So, 2 hundredths = 0.02

Question 13.

\(\frac{93}{100}\) ___________

Answer: 0.93

Explanation:

1 whole = 100 hundredth

1 hundredth = 0.01

So, 93 hundredths = 0.93

Question 14.

\(\frac{7}{10}\) ___________

Answer: 0.7

Explanation:

1 whole = 10 tenths

1 tenth = 0.1

So, 7 tenths = 0.7

Question 15.

46 pennies ___________

Answer: 0.46

Explanation:

1 penny = 1 cent (100)

46 pennies = 46 cents

So, \(\frac{46}{100}\) = 0.46

Question 16.

3 nickels ____________

Answer: 0.15

Explanation:

1 nickel = 5 cents

3 nickels = 5 x 3 = 15 cents

So, \(\frac{15}{100}\) = 0.15

Question 17.

9 dimes _____________

Answer: 0.9

Explanation:

1 dime = 10 cents

9 dimes = 10 x 9 = 90 cents

So, \(\frac{90}{100}\) = 0.9

Question 18.

**Stretch Your Thinking** Ben says that 0.80 is greater than 0.8 because 80 is greater than 8. Explain his error.

Answer:

Ben made an error in his explanation

Explanation:

0.8 and 0.80 both decimals are same

\(\frac{80}{100}\)

If \(\frac{80}{10}\) = 80 and \(\frac{80}{100}\) = 8

Then his says is correct 80 > 8

0.8 > 0.80 is wrong