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hendricks_intermediate_algebra_1e_ch1_3

Section 1.2 Operations with Real Numbers and Algebraic Expressions 17 Objective 1 Examples Perform the indicated operation. 1a. - 2 5 + a- 1 5 b 1b. -9 + 4 1c. 7 4 + a- 3 2 b 1d. 0.5 + (-0.75) 1e. -6 - (-5) 1f. 2 3 - 3 4 1g. -4 - 3 + (-6) Solutions 1a. The numbers being added have the same sign. So, we add their absolute values and keep the sign. - 2 5 + a- 1 5 b = - 3 5 1b. The numbers being added have opposite signs. u-9u = 9 and u4u = 4, the result is negative as -9 has the larger absolute value. -9 + 4 = -5 1c. The numbers being added have opposite signs. We first find the LCD, which is 4. 7 4 + a- 3 2 b = 7 4 + a- 6 4 b Convert to a common denominator. = 1 4 Add opposite signs. 1d. The numbers being added have opposite signs. 0.5 + (-0.75) = 0.50 + (-0.75) Rewrite 0.5 as 0.50. = -0.25 Add the decimals. 1e. -6 - (-5)=-6 + (5) Rewrite as adding the opposite. = −1 Add. 1f. 2 3 - 3 4 = 8 12 - 9 12 Convert each fraction to an equivalent fraction with a denominator of 12. = 8 12 + a- 9 12 b Rewrite as adding the opposite of 9 12 . = - 1 12 Add opposite signs. 1g. -4 - 3 + (-6)=-4 + (-3) + (-6) Rewrite as adding the opposite. = -7 + (-6) Add like signs. =-13 Add like signs. Student Check 1 Perform the indicated operation. a. - 8 9 + a- 1 9 b b. -12 + 6 c. 3 7 + a- 1 7 b d. -1.2 + (-2.3) e. -1 - (-9) f. 3 5 - 5 7 g. 7 - (-3) + (-5)


hendricks_intermediate_algebra_1e_ch1_3
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