1. 11-6 Multiplying Integers 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 30 480 300 3,600 14,000

2. 11-6 Multiplying Integers 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

3. 11-6 Multiplying Integers Preview of MA.7.A.3.1 Use and justify the rules for…multiplying…integers. Preview of MA.7.A.3.2 …Multiply…integers,…including solving problems in everyday contexts. Sunshine State Standards

4. 11-6 Multiplying Integers –66Product –(2 + 2 + 2)2 + 2 + 2Addition the opposite of 3 groups of 2 Words –3 23 2Numbers

5. 11-6 Multiplying Integers 6–6Product –[(–2) + (–2) + (–2)](–2) + (–2) + (–2)Addition the opposite of 3 groups of –2 Words –3 (–2)3 (–2)Numbers

6. 11-6 Multiplying Integers 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!

7. 11-6 Multiplying Integers 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.

8. 11-6 Multiplying Integers 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.

9. 11-6 Multiplying Integers 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.

10. 11-6 Multiplying Integers 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

11. 11-6 Multiplying Integers 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!

12. 11-6 Multiplying Integers 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.