80 Chapter 1 The Set of Real Numbers Skill Practice 12. The record high temperature for the state of Montana occurred in 1937 and was 117°F. The record low occurred in 1954 and was 70°F. Find the difference between the highest and lowest temperatures. Skill Practice Simplify the expressions. 13. 14. 112 522 14 1212 11 58 32 13246 Answers 12. 187°F 13. 14 14. 54 Using Subtraction of Real Numbers in an Application Example 5 The highest recorded temperature in North America was 134°F, recorded on July 10, 1913, in Death Valley, California. The lowest temperature of 81°F was recorded on February 3, 1947, in Snag, Yukon, Canada. Find the difference between the highest and lowest recorded temperatures in North America. Solution: Rewrite subtraction in terms of addition. Add. 134 1812 134 1812 215 The difference between the highest and lowest temperatures is 215°F. Classroom Example: p. 84, Exercise 74 Classroom Examples: p. 84, Exercises 86 and 92 4. Applying the Order of Operations Applying the Order of Operations Example 6 Simplify the expressions. a. 6 510 37 14246 b. 5 135 1142 2 Solution: a. Simplify inside the inner brackets first. Rewrite subtraction in terms of addition. Simplify the expression inside brackets. Rewrite subtraction in terms of addition. Simplify inside the braces. Add. 6 510 37 14246 6 510 37 14246 6 510 11126 6 510 11126 6 112 7 5 135 1142 2 b. Simplify inside the radical first. Rewrite subtraction in terms of addition. Add within the radical sign. Simplify the radical. Rewrite subtraction in terms of addition. Add from left to right. 5 135 1142 2 5 149 2 5 7 2 5 172 122 2 122 4
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