Section 2.3 Subtraction of Integers 101 TIP: After subtraction is written in terms of addition, the rules of addition are applied. Adding and Subtracting Several Integers Example 2 Simplify. Solution: 4 6 132 5 8 4 6 132 5 8 4 162 132 152 8 e 10 132 152 8 e 13 152 8 e 18 8 e 10 Rewrite all subtractions in terms of addition. Add from left to right. 2. Translations and Applications of Subtraction Recall from Section 1.3 that several key words imply subtraction. Word/Phrase Example In Symbols a minus b 15 minus 10 15 10 The difference of a and b The difference of 10 and 2 10 122 a decreased by b 9 decreased by 1 9 1 a less than b 12 less than 5 5 1122 Subtract a from b Subtract 3 from 8 8 132 b subtracted from a 2 subtracted from 10 10 122 Translating to a Mathematical Expression Example 3 Translate to a mathematical expression. Then simplify. a. The difference of 52 and 10. b. 35 decreased by 6. Solution: a. the difference of 52 10 Translate: The difference of 52 and 10. 52 1102 Rewrite subtraction in terms of addition. 62 Add. b. decreased by 35 162 Translate: 35 decreased by 6. 35 162 Rewrite subtraction in terms of addition. 29 Add. Skill Practice Simplify. 8. 8 10 (6) (1) 4 Skill Practice Translate to a mathematical expression. Then simplify. 9. The difference of 16 and 4 10. 8 decreased by 9 Avoiding Mistakes Subtraction is not commutative. The order of the numbers being subtracted is important. Answers 8. 19 9. 16 4; 20 10. 8 (9); 1
miller_prealgebra_2e_ch1_3
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