Section 1.3 Addition of Real Numbers 73 Classroom Examples: p. 75, Exercises 86 and 88 Skill Practice 14. A stock was priced at $32.00 per share at the beginning of the month. After the first week, the price went up $2.15 per share. At the end of the second week it went down $3.28 per share. Write a mathematical expression to describe the price of the stock and find the price of the stock at the end of the 2-week period. Answers 11. 10 4 162; 12 1 5 12. 122; 2 2 13. 60 1602; 0 14. 32.00 2.15 (3.28); $30.87 per share 12 182 9 112 20 9 112 ⎧⎪⎪⎪⎨⎪⎪⎪⎩ ⎧⎪⎪⎨⎪⎪⎩ 11 112 ⎧⎪⎪⎪⎨⎪⎪⎪⎩ Skill Practice Translate to an algebraic expression, and simplify the result. 11. The sum of , 4, and 6 12. Negative 2 added to 1 2 13. 60 added to its opposite Apply order of operations by adding from 10 left to right. b. Negative three-tenths added to The common denominator is 40. The numbers have the same signs. Add their absolute values and keep the common sign. c. The sum of 12 and its opposite Add. 12 1122 0 40R 4. Applications Involving Addition of Real Numbers Adding Real Numbers in Applications Example 6 a. It is common for newborn infants to fluctuate in weight. Elise and Benjamin’s baby lost 7 oz the first week and gained 10 oz the second week. Write a mathematical expression to describe this situation and then simplify the result. b. A student has $120 in her checking account. After depositing her paycheck of $215, she writes a check for $255 to cover her portion of the rent and another check for $294 to cover her car payment. Write a mathematical expression to describe this situation and then simplify the result. Solution: a. A loss of 7 oz can be interpreted as 7 oz. The infant had a net gain of 3 oz. 7 10 3 120 215 12552 12942 b. Writing a check is equivalent to adding a negative amount to the bank account. Use the order of operations. Add from left to right. The student has overdrawn her account by $214. 335 12552 12942 80 12942 214 Q35 40 12 47 40 35 40 a 12 40b 7 8 a 3 10b 78 TIP: The sum of any number and its opposite is 0. Classroom Example: p. 76, Exercise 94 Solution: a. The sum of 12,8, 9, and 1 12 ⎫⎪⎬⎪⎭ ⎫⎪⎪⎬⎪⎪⎭
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