Summary 113 Section 1.4 Subtraction of Real Numbers Key Concepts Subtraction of Two Real Numbers Add the opposite of the second number to the first number. That is, a b a 1b2 Examples Example 1 7 152 7 152 12 3 5 3 152 8 11 122 11 122 9 Section 1.5 Multiplication and Division of Real Numbers Key Concepts Multiplication and Division of Two Real Numbers Same Signs Product is positive. Quotient is positive. Different Signs Product is negative. Quotient is negative. Exponential Expressions The negative sign is not part of the base unless it is included in parentheses. 1a The reciprocal of a nonzero number a is . Multiplication and Division Involving Zero The product of any real number and 0 is 0. The quotient of 0 and any nonzero real number is 0. The quotient of any nonzero real number and 0 is undefined. Examples Example 1 152122 10 5 Example 2 20 4 1 2 132172 21 Example 3 34 13 3 3 32 81 1324 132 132 132 132 81 Example 4 The reciprocal of is . Example 5 4 0 0 0 4 0 4 0 is undefined. 16 6 4 8
miller_introductory_algebra_3e_ch1_3
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