**Decimals**Name Decimals

In the following exercises, name each decimal.

- 0.8
- 0.375
- 0.007
- 5.24
- −12.5632
- −4.09
**Write Decimals**

In the following exercises, write as a decimal.

- three tenths
- nine hundredths
- twenty-seven hundredths
- ten and thirty-five thousandths
- negative twenty and three tenths
- negative five hundredths
**Convert Decimals to Fractions or Mixed Numbers**

In the following exercises, convert each decimal to a fraction. Simplify the answer if possible.

- 0.43
- 0.825
- 9.7
- 3.64

Locate Decimals on the Number Line - ⓐ0.6

ⓑ−0.9

ⓒ2.2

ⓓ−1.3

**Order Decimals**

In the following exercises, order each of the following pairs of numbers, using < or >.

- 0.6___0.8
- 0.2___0.15
- 0.803____0.83
- −0.56____−0.562

Round Decimals

In the following exercises, round each number to the nearest: ⓐ hundredth ⓑ tenth ⓒ whole number.

- 12.529
- 4.8447
- 5.897
**Decimal Operations**Add and Subtract Decimals

In the following exercises, add or subtract.

- 5.75+8.46
- 32.89−8.22
- 24−19.31
- 10.2+14.631
- −6.4+(−2.9)
- 1.83−4.2
**Multiply Decimals**

In the following exercises, multiply.

- (0.3)(0.7)
- (−6.4)(0.25)
- (−3.35)(−12.7)
- (15.4)(1000)
**Divide Decimals**

In the following exercises, divide.

- 0.48÷6
- 4.32÷24
- $6.29÷12
- (−0.8)÷(−0.2)
- 1.65÷0.15
- 9÷0.045
**Use Decimals in Money Applications**

In the following exercises, use the strategy for applications to solve.

- Miranda got $40 from her ATM. She spent $9.32 on lunch and $16.99 on a book. How much money did she have left? Round to the nearest cent if necessary.
- Jessie put 8 gallons of gas in her car. One gallon of gas costs $3.528. How much did Jessie owe for all the gas?
- A pack of 16 water bottles cost $6.72. How much did each bottle cost?
- Alice bought a roll of paper towels that cost $2.49. She had a coupon for $0.35 off, and the store doubled the coupon. How much did Alice pay for the paper towels?

Decimals and Fractions

Convert Fractions to Decimals

In the following exercises, convert each fraction to a decimal.

- 35
- 78
- −1920
- −214
- 13
- 611
**Order Decimals and Fractions**

In the following exercises, order each pair of numbers, using < or >.

- 12___0.2
- 35___0.
- −78___−0.84
- −512___−0.42
- 0.625___1320
- 0.33___516

In the following exercises, write each set of numbers in order from least to greatest. - 23,1720,0.65
- 79,0.75,1115
**Simplify Expressions Using the Order of Operations**

In the following exercises, simplify

- 4(10.3−5.8)
- 34(15.44−7.4)
- 30÷(0.45+0.15)
- 1.6+38
- 52(0.5)+(0.4)2
- −25⋅910+0.14
**Find the Circumference and Area of Circles**

In the following exercises, approximate the ⓐ circumference and ⓑ area of each circle.

- radius=6 in.
- radius=3.5 ft.
- radius=733m
- diameter=11 cm
**Solve Equations with Decimals**Determine Whether a Decimal is a Solution of an Equation

In the following exercises, determine whether the each number is a solution of the given equation.

- x−0.4=2.1

ⓐx=1.7 ⓑx=2.5 - y+3.2=−1.5

ⓐy=1.7ⓑy=−4.7 - u2.5=−12.5

ⓐu=−5ⓑu=−31.25 - 0.45v=−40.5

ⓐv=−18.225ⓑv=−90**Solve Equations with Decimals**

In the following exercises, solve.

- m+3.8=7.5
- h+5.91=2.4
- a+2.26=−1.1
- p−4.3=−1.65
- x−0.24=−8.6
- j−7.42=−3.7
- 0.6p=13.2
- −8.6x=34.4
- −22.32=−2.4z
- a0.3=−24
- p−7=−4.2
- s−2.5=−10
**Translate to an Equation and Solve**

In the following exercises, translate and solve.

- The difference of n and 15.2 is 4.4.
- The product of −5.9 and x is −3.54.
- The quotient of y and −1.8 is −9.
- The sum of m and (−4.03) is 6.8.

Averages and Probability**Find the Mean of a Set of Numbers**

In the following exercises, find the mean of the numbers.

- 2,4,1,0,1,and1
- $270, $310.50, $243.75, and$252.15
- Each workday last week, Yoshie kept track of the number of minutes she had to wait for the bus. She waited 3,0,8,1,and8 minutes. Find the mean.
- In the last three months, Raul’s water bills were $31.45,$48.76,and$42.60. Find the mean.

Find the Median of a Set of Numbers

In the following exercises, find the median.

- 41, 45, 32, 60, 58
- 25, 23, 24, 26, 29, 19, 18, 32
- The ages of the eight men in Jerry’s model train club are 52,63,45,51,55,75,60,and59. Find the median age.
- The number of clients at Miranda’s beauty salon each weekday last week were 18,7,12,16,and20. Find the median number of clients.
**Find the Mode of a Set of Numbers**

In the following exercises, identify the mode of the numbers.

- 6, 4, 4,5, 6,6, 4, 4, 4, 3, 5
- The number of siblings of a group of students: 2, 0, 3, 2, 4, 1, 6, 5, 4, 1, 2, 3
**Use the Basic Definition of Probability**

In the following exercises, solve. (Round decimals to three places.)

- The Sustainability Club sells 200 tickets to a raffle, and Albert buys one ticket. One ticket will be selected at random to win the grand prize. Find the probability Albert will win the grand prize. Express your answer as a fraction and as a decimal.
- Luc has to read 3 novels and 12 short stories for his literature class. The professor will choose one reading at random for the final exam. Find the probability that the professor will choose a novel for the final exam. Express your answer as a fraction and as a decimal.
**Ratios and Rate**Write a Ratio as a Fraction

In the following exercises, write each ratio as a fraction. Simplify the answer if possible.

- 28 to 40
- 56 to 32
- 3.5 to 0.5
- 1.2 to 1.8
- 134to158
- 213to514
- 64 ounces to 30 ounces
- 28 inches to 3 feet
**Write a Rate as a Fraction**

In the following exercises, write each rate as a fraction. Simplify the answer if possible.

- 180 calories per 8 ounces
- 90 pounds per 7.5 square inches
- 126 miles in 4 hours
- $612.50 for 35 hours
**Find Unit Rates**

In the following exercises, find the unit rate.

- 180 calories per 8 ounces
- 90 pounds per 7.5 square inches
- 126 miles in 4 hours
- $612.50 for 35 hours
**Find Unit Price**

In the following exercises, find the unit price.

In the following exercises, translate the English phrase into an algebraic expression.

- t-shirts: 3 for $8.97
- Highlighters: 6 for $2.52
- An office supply store sells a box of pens for $11. The box contains 12 pens. How much does each pen cost?
- Anna bought a pack of 8 kitchen towels for $13.20. How much did each towel cost? Round to the nearest cent if necessary.

In the following exercises, find each unit price and then determine the better buy. - Shampoo: 12 ounces for $4.29 or 22 ounces for $7.29?
- Vitamins: 60 tablets for $6.49 or 100 for $11.99?

Translate Phrases to Expressions with Fractions

- 535 miles per hhours
- a adults to 45 children
- the ratio of 4y and the difference of x and 10
- the ratio of 19 and the sum of 3 and n

Simplify and Use Square Roots

Simplify Expressions with Square Roots

In the following exercises, simplify.

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