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Section 1.6

Section 1.6. Multiplying & Dividing Integers. California Standards. NS1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers. Objectives.

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Section 1.6

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  1. Section 1.6 Multiplying & Dividing Integers

  2. California Standards NS1.2 Add,subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers. Objectives

  3. Multiplying & Dividing Two Integers 2 Simple Rules 1. Same signs = positive 2. Different signs = negative

  4. Examples 4(3) Both signs are positive so answer is positive = 12 5(-2) Different signs, so answer will be negative-- = -10 (-4)(-6) Same signs, so answer will be positive = 24 (-3)² -3 times -3, so same signs mean positive answer = 9

  5. -8(-y) = ● 10 (-a) (-11)(-w) ● Simplifying Expressions Using Multiplication 8y -10a 11w Because a negative times a negative equals a positive, your answer is positive Here, negative times a positive equals a negative Remember: the dot and parentheses next to a number or letter means to multiply.

  6. –18 –25 2 –5 Let’s practice… Multiply or divide. A. –6(4) C. –24 –9 B. –8(–5)(2) D. –8(–5)(2) 40(2) 5 80

  7. Let’s practice… A. 3(–6 – 12) B. –5(–5 + 2) 3(–6 + –12) –5(–3) 3(–18) 15 –54

  8. Sports Application A golfer plays 5 holes. On 3 holes, he is 4 strokes over par. On 2 holes, he is 4 strokes under par. Each score over par can be represented by a positive integer, and each score under par can be represented by a negative integer. Find the total score relative to par. 3(4) + 2(–4) 12 + (–8) 4 The golfer's score was 4 over par.

  9. Check It Out! A. -3(-2)(4) B. -3(6) - 9 24 -18 - 9 - 27

  10. Sports Application A golfer plays 7 holes. On 3 holes, he has a gain of 3 strokes. On 4 holes, he is 3 strokes under par. Each score over par can be represented by a positive integer, and each score under par can be represented by a negative integer. Find the total score relative to par. 3(3) + 4(–3) 9 + (–12) –3 The golfer's score was 3 under par.

  11. try these! 4 ( -6) -9 -8 ● -5(2) = -24 = 72 -10 42 -7 -16 2 -3 -3 = -6 = -8 =1 x = 5 y = -8 -yx 5²(-8) 9x -5 9(5) -5 45 -5 x²y -(-8)5 25(-8) -9 40 -200

  12. –12(5) –10 Lesson Quiz 6 –32 1. –8(4) 2. 3. –2(13 – 4) –18 4. 6(–5 – 3) –48 5. Devin completes 11 transactions in his bank account. In 6 transactions, he withdraws $10. In 5 transactions, he deposits $20. Find the total net change in dollars. $40

  13. Rules for multiplying and dividing integers…. Summary

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