11-6 Multiplying Integers Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

11-6 Multiplying Integers Warm Up Find each product ,600 14,000

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

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

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

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

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!

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.

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.

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.

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(–12) 0 = 0

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!

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.

11-6 Multiplying Integers Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

11-6 Multiplying Integers Lesson Quiz Find each product (4) 2. 3 (–2) 3. –9 (–2) 4. – 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? – –30 –21 –2

11-6 Multiplying Integers 1. Find the product. 4  7 A. 11 B. 28 C. 47 D. –3 Lesson Quiz for Student Response Systems

11-6 Multiplying Integers 2. Find the product. 2  (–9) A. –7 B. 18 C. –18 D. 7 Lesson Quiz for Student Response Systems

11-6 Multiplying Integers 3. Find the product. –13  (–4) A. –17 B. –52 C. 52 D. 17 Lesson Quiz for Student Response Systems

11-6 Multiplying Integers 4. Evaluate 6m for m = –8. A. –2 B. –14 C. –48 D. –68 Lesson Quiz for Student Response Systems

11-6 Multiplying Integers 5. On a quiz, Ronald got 5 points each for 4 correct answers and lost 3 points each for 8 incorrect answers. Which integer represents the total points earned by Ronald? A. 4 B. –4 C. 44 D. –44 Lesson Quiz for Student Response Systems