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−4.2 + ( −9.3 )

−13.5

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Multiply and Divide Decimals

In the following exercises, multiply.

( 8.52 ) ( 3.14 )

26.7528

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( 0.09 ) ( 24.78 )

2.2302

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In the following exercises, divide.

Convert Decimals, Fractions, and Percents

In the following exercises, write each decimal as a fraction.

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

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

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

The Real Numbers

Simplify Expressions with Square Roots

In the following exercises, simplify.

Identify Integers, Rational Numbers, Irrational Numbers, and Real Numbers

In the following exercises, write as the ratio of two integers.

9 8.47

9 1 847 100

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In the following exercises, list the rational numbers, irrational numbers.

0.84 , 0.79132 , 1. 3

0.84 , 1. 3 0.79132 ,

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2.3 8 , 0.572 , 4.93814

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In the following exercises, identify whether each number is rational or irrational.

121 48

rational irrational

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In the following exercises, identify whether each number is a real number or not a real number.

−9 169

not a real number real number

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In the following exercises, list the whole numbers, integers, rational numbers, irrational numbers, real numbers for each set of numbers.

−4 , 0 , 5 6 , 16 , 18 , 5.2537

0 , 16 −4 , 0 , 16 −4 , 0 , 5 6 , 16 18 , 5.2537 −4 , 0 , 5 6 , 16 , 18 , 5.2537

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4 , 0. 36 , 13 3 , 6.9152 , 48 , 10 1 2

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Locate Fractions on the Number Line

In the following exercises, locate the numbers on a number line.

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

Locate Decimals on the Number Line

In the following exercises, locate on the number line.

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

Properties of Real Numbers

Use the Commutative and Associative Properties

In the following exercises, use the Associative Property to simplify.

In the following exercises, simplify.

6 y + 37 + ( −6 y )

37

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1 4 + 11 15 + ( 1 4 )

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14 11 · 35 9 · 14 11

35 9

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( 7 12 + 4 5 ) + 1 5

1 7 12

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( 3.98 d + 0.75 d ) + 1.25 d

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11 x + 8 y + 16 x + 15 y

27 x + 23 y

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52 m + ( −20 n ) + ( −18 m ) + ( −5 n )

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Use the Identity and Inverse Properties of Addition and Multiplication

In the following exercises, find the additive inverse of each number.


1 3
5.1
−14
8 5

1 3 −5.1 14 8 5

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7 8
−0.03
17
12 5

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In the following exercises, find the multiplicative inverse of each number.

10 4 9 0.6

1 10 9 4 5 3

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9 2 −7 2.1

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Use the Properties of Zero

In the following exercises, simplify.

In the following exercises, simplify.

Simplify Expressions Using the Distributive Property

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Source:  OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
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