# Download PDF by Charles P. McKeague: Intermediate algebra : a text/workbook By Charles P. McKeague

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Example text

4( - 7 e. f. 2) . g. - 3(2x) h. - 5(4a ) h. i. - 6(x + 2) i. - 3(4a + I) j. J. g. (7)(3) = 21 = - 21 ( - 7)(3) = - 2 1 = 21 (4)( - 3)( - 2) = - 12( - 2) = 24 (5)( 3 . 2) 5( - 6) = - 30 - 4(5x) = ( - 4 5)x - 20x - 2(7a ) = ( - 2 7)a = - Associative property · = Multiplication = - 14a Associative property · - 3(x) + ( - 3 )4 - 3x - 1 2 - 2(3a + 5 ) = - 2(3a) + ( - 2)(5) - 3(x + 4) = = = - 6a - lO Multiplication Distributive property Multiplication Distributive property Multiplication Division of Real Numbers In order to have as few rules as possible in building our system of algebra, we will now define division for two real numbers in terms of multiplication.

It is not actually necessary to show this step when working problems. Review of Division with Fractions We can also use the definition of division to review division with fractions. T Example Solution T a. Divide: 3 To divide by Example 4 6 3 11 33 = 24 Definition of division c. io + 65 = = IO 6 T. ;. 6 5 = -- = = 5 9· 4. Divide and reduce to lowest terms. ,.. 7 3 6 3 Definition of division b. 12 + 43 Multiply numerators, multiply denominators 5 12 + Multiply numerators, multiply denominators Divide numerator and denominator by b.

The following example illustrates this rule for finding products of positive � an negative numbers. Practice Problems V 1. Multiply. Exa mple I a. 6(2) a. b. 6(-2) b. - 6(2) c. (7)( - 3) d. -6(-2) d. ( - 7)( - 3) e. - 2(5)( - 1 ) c. f. 4( - 7 e. f. 2) . g. - 3(2x) h. - 5(4a ) h. i. - 6(x + 2) i. - 3(4a + I) j. J. g. (7)(3) = 21 = - 21 ( - 7)(3) = - 2 1 = 21 (4)( - 3)( - 2) = - 12( - 2) = 24 (5)( 3 . 2) 5( - 6) = - 30 - 4(5x) = ( - 4 5)x - 20x - 2(7a ) = ( - 2 7)a = - Associative property · = Multiplication = - 14a Associative property · - 3(x) + ( - 3 )4 - 3x - 1 2 - 2(3a + 5 ) = - 2(3a) + ( - 2)(5) - 3(x + 4) = = = - 6a - lO Multiplication Distributive property Multiplication Distributive property Multiplication Division of Real Numbers In order to have as few rules as possible in building our system of algebra, we will now define division for two real numbers in terms of multiplication. 