12 Chapter 1 Whole Numbers Applying the Properties of Addition Example 6 a. Rewrite 9 6, using the commutative property of addition. b. Rewrite 115 92 5, using the associative property of addition. Solution: a. 9 6 6 9 Change the order of the addends. b. 115 92 5 15 19 52 Change the grouping of the addends. 4. Translations and Applications Involving Addition In the English language, there are many different words and phrases that imply addition. A partial list is given in Table 1-1. 3 5, Answers 7. 8. 9. 10. 12 14; 26 11 72 12, 3 5 5 3 11 72 12 1 17 122 80 50; 130 Table 1-1 Word/Phrase Example In Symbols Sum The sum of 6 and 2 Added to 3 added to 8 Increased by 7 increased by 2 More than 10 more than 6 Plus 8 plus 3 Total of The total of 9 and 6 9 6 Translating an English Phrase to a Mathematical Statement Example 7 6 2 8 3 7 2 6 10 Translate each phrase to an equivalent mathematical statement and simplify. a. 12 added to 109 b. The sum of 1386 and 376 Solution: a. b. 1 1 9 8 1 Addition of whole numbers is sometimes necessary to solve application problems. 13 6 376 1762 1386 376 10 12 121 109 12 8 3 Skill Practice 7. Rewrite using the commutative property of addition. 8. Rewrite using the associative property of addition. Skill Practice Translate and simplify. 9. 50 more than 80 10. 12 increased by 14
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