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Writing exercises

Why is there no real number equal to −64 ?

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What is the difference between 9 2 and 9 ?

Answers will vary. 9 2 reads: “nine squared” and means nine times itself. The expression 9 reads: “the square root of nine” which gives us the number such that if it were multiplied by itself would give you the number inside of the square root.

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Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

.

Overall, after looking at the checklist, do you think you are well-prepared for the next Chapter? Why or why not?

Chapter review exercises

Decimals

Name Decimals

In the following exercises, name each decimal.

0.375

three hundred seventy-five thousandths

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5.24

five and twenty-four hundredths

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−4.09

negative four and nine hundredths

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Write Decimals

In the following exercises, write as a decimal.

ten and thirty-five thousandths

10.035

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negative twenty and three tenths

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negative five hundredths

−0.05

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Convert Decimals to Fractions or Mixed Numbers

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

Locate Decimals on the Number Line

Locate the following decimals on a number line.

0.6

−0.9

2.2

−1.3

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Order Decimals

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

Round Decimals

In the following exercises, round each number to the nearest:

hundredth

tenth

whole number.

12.529

  1. 12.53
  2. 12.5
  3. 13

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5.897

  1. 5.90
  2. 5.9
  3. 6

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Decimal Operations

Add and Subtract Decimals

In the following exercises, add or subtract.

Multiply Decimals

In the following exercises, multiply.

( −6.4 ) ( 0.25 )

−1.6

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( 15.4 ) ( 1000 )

15,400

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Divide Decimals

In the following exercises, divide.

( −0.8 ) ÷ ( −0.2 )

4

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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.

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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?

$28.22

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A pack of 16 water bottles cost $6.72. How much did each bottle cost?

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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?

$1.79

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Decimals and Fractions

Convert Fractions to Decimals

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

Order Decimals and Fractions

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

In the following exercises, write each set of numbers in order from least to greatest.

7 9 , 0.75 , 11 15

11 15 , 0.75 , 7 9

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Simplify Expressions Using the Order of Operations

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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