Evaluate each absolute value expression. a) 013 0 b) 05 0 c) 08 0 d) 014 0 4 Find the Opposite of a Number Earlier we saw that, on a number line, 4 and 4 are the same distance from 0 but they are on opposite sides of 0. 24 is 4 units from 0. 4 is 4 units from 0. 25 24 23 22 21 0 1 2 3 4 5 We say that 4 and 4 are opposites of each other. YOU TRY 4 EXAMPLE 5 YOU TRY 5 Definition Two numbers are opposites of each other if they are the same distance from 0 on a number line but are on opposite sides of 0. To fi nd the opposite of a number, we write a negative sign in front of it. Note When we put a negative sign in front of a number to find its opposite, we will also put the original number in parentheses. This will help us avoid confusion in the future. Find the opposite of each number. a) 2 b) 5 8 c) 7.3 d) 0 Solution a) The opposite of 2 is (2) 2. b) The opposite of Put a negative in front of the 2. c) The opposite of 7.3 is d) The opposite of 0 is (0) 0. (7.3) 7.3. Remember, 0 is neither positive nor negative. Find the opposite of each number. a) 19 b) 7 10 c) 4.6 d) 5 1 6 5 8 is a 5 8 b 5 8 . www.mhhe.com/messersmith SECTION 10.1 Introduction to Signed Numbers 721
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