1. 11-6 Multiplying Integers Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

2. Warm Up Find each product. 1. 8 42. 7 12 3. 3 94. 6 5 5. 80 66. 50 6 7. 40 908. 20 700 32 84 27 Course 1 11-6 Multiplying Integers 30 480 300 3,600 14,000 Students Try These!

3. Problem of the Day Catherine has $14.00 and earns $12.00 for each lawn she mows. If she mows 4 lawns and buys 5 DVDs that cost $11.95 each, including tax, how much money does she have left? $2.25 Course 1 11-6 Multiplying Integers Skip this one!

4. Learn to multiply integers. Course 1 11-6 Multiplying Integers

5. Numbers3 2–3 2 Words3 groups of 2 the opposite of 3 groups of 2 Addition2 + 2 + 2–(2 + 2 + 2) Product6–6 Course 1 11-6 Multiplying Integers Record this one!

6. Numbers3 (–2)–3 (–2) Words3 groups of –2 the opposite of 3 groups of –2 Addition(–2) + (–2) + (–2)–[(–2) + (–2) + (–2)] Product–66 Course 1 11-6 Multiplying Integers Record this one!

7. Additional Example 1: Multiplying Integers Find each product. A. 5 2 B. 4 (–5) 5 2 = 10Think: 5 groups of 2. 4 (–5) = –20 Think: 4 groups of –5. To find the opposite of a number, change the sign. The opposite of 6 is –6. The opposite of –4 is 4. Remember! Course 1 11-6 Multiplying Integers Write these two examples.

8. Additional Example 1: Multiplying Integers Find each product. C. –3 2 D. –2 (–4) –3 2 = –6 Think: the opposite of 3 groups of 2. –2 (–4) = 8 Think: the opposite of 2 groups of –4. Course 1 11-6 Multiplying Integers Write these two examples.

9. Check It Out: Example 1 Find each product. A. 3 4 B. 2 (–7) 3 4 = 12Think: 3 groups of 4. 2 (–7) = –14 Think: 2 groups of –7. Course 1 11-6 Multiplying Integers Skip this one

10. Check It Out: Example 1 Find each product. C. –5 3 D. –4 (–6) –5 3 = –15 Think: the opposite of 5 groups of 3. –4 (–6) = 24 Think: the opposite of 4 groups of –6. Course 1 11-6 Multiplying Integers Skip this one!

11. MULTIPLYING INTEGERS If the signs are the same, the product is positive. 4 3 = 12 –6 (–3) = 18 If the signs are different, the product is negative. –2 5 = –10 7 (–8) = –56 The product of any number and 0 is 0. 0 9 = 0(–12) 0 = 0 Course 1 11-6 Multiplying Integers Record this slide!

12. Additional Example 2: Evaluating Integer Expressions Evaluate –7x for each value of x. A. x = –3 B. x = 5 –7xWrite the expression. –7 (–3) Substitute –3 for x. 21 The signs are the same, so the answer is positive. –7xWrite the expression. –7 5Substitute 5 for x. –35The signs are different, so the answer is negative. –7x means –7 x. Remember! Course 1 11-6 Multiplying Integers Record this one!

13. Check It Out: Example 2 Evaluate –4y for each value of y. A. y = – 2 B. y = 7 –4yWrite the expression. –4 (–2)Substitute –2 for y. 8The signs are the same, so the answer is positive. –4yWrite the expression. –4 7Substitute 7 for y. –28The signs are different, so the answer is negative. Course 1 11-6 Multiplying Integers Record this one!

14. Lesson Quiz Find each product. 1. 6 (4) 2. 3 (–2) 3. –9 (–2) 4. –6 5 5. Evaluate 3y for y = –7. 6. During a football game, Raymond’s team lost 6 yards on each of 3 plays and gained 8 yards on each of two plays. What integer represents the total change in the team’s position? –624 Insert Lesson Title Here 18 –30 –21 –2 Course 1 11-6 Multiplying Integers Skip this one!