Section 1.5 Subtraction of Real Numbers 57 Using Subtraction of Real Numbers in an Application The highest recorded temperature in North America was recorded on July 10, 1913, in Death Valley, California. The lowest temperature of 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 . 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. 4. Applying the Order of Operations Applying the Order of Operations Example 6 Simplify the expressions. a. 6 510 37 142 4 6 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. Add within the braces. Add. 6 510 37 142 4 6 6 510 37 142 4 6 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 Skill Practice Simplify the expressions. 13. 11 58 32 132 4 6 14. 112 522 14 1212 81°F 134°F, Example 5 134° °F °C 140° 120° 100° 80° 60° 40° 20° 0° –20° –40° –60° –81° –80° 60° 50° 40° 30° 20° 10° 0° –10° –20° –30° –40° –50° –60° Answers 12. 187°F 13. 14 14. 54
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