Learn Before
Evaluating and when
Evaluate each expression by substituting for and simplifying:
(a) when : Replace with to obtain . Adding a positive number to a negative number (different signs): the absolute values are and , and , so take the sign of the larger absolute value (negative). Compute , so .
(b) when : Replace with to obtain . The expression means "the opposite of ," which is . The expression becomes .
Notice that and yield very different results ( versus ) for the same value of . This contrast reinforces that the notation does not automatically represent a negative number — when itself is negative, is positive.
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Ch.1 Foundations - Elementary Algebra @ OpenStax
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Learn After
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