1. Evaluating Algebraic Expressions 1-6Multiplying and Dividing Integers NS1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers. California Standards

2. Evaluating Algebraic Expressions 1-6Multiplying and Dividing Integers

3. Evaluating Algebraic Expressions 1-6Multiplying and Dividing Integers Additional Example 1: Multiplying and Dividing Integers A. –6(4) B. –8(–5)(2) 40(2) –24 Signs are different. Multiply two integers. Answer is negative. Answer is positive. Multiply or divide. –8(–5)(2)Signs are the same. 40(2)Signs are the same. Answer is positive.80

4. Evaluating Algebraic Expressions 1-6Multiplying and Dividing Integers Additional Example 1: Multiplying and Dividing Integers C. –9 Signs are different. Answer is negative. Multiply or divide. –18 2 D. 5 Signs are the same. Answer is positive. –25 –5

5. Evaluating Algebraic Expressions 1-6Multiplying and Dividing Integers Check It Out! Example 1 A. 5(–2) B. –3(–2)(4) 6(4) –10 Signs are different. Signs are the same. Answer is negative. Answer is positive. Multiply or divide. –3(–2)(4) Signs are the same.6(4) 24Answer is positive.

6. Evaluating Algebraic Expressions 1-6Multiplying and Dividing Integers Check It Out! Example 1 C. –8 Signs are different. Answer is negative. Multiply or divide. –24 3 D. 6 Signs are the same. Answer is positive. –12 –2

7. Evaluating Algebraic Expressions 1-6Multiplying and Dividing Integers Additional Example 2: Using the Order of Operations with Integers A. 3(–6 – 12) –54 3(–18) Add the opposite of 12 inside the parentheses. Think: The signs are different. The answer is negative. Simplify. B. –5(–5 + 2) 15 –5(–3) Add inside the parentheses. Think: The signs are the same. The answer is positive. 3(–6 + –12) Subtract inside the parentheses.

8. Evaluating Algebraic Expressions 1-6Multiplying and Dividing Integers Additional Example 2: Using the Order of Operations with Integers C. –2(14) – 5 –33 –28 – 5 Multiply. Same sign; use the sign of the integers. The answer is negative. Simplify.

9. Evaluating Algebraic Expressions 1-6Multiplying and Dividing Integers Check It Out! Example 2 A. 2(1 – 8) –14 2(–7) Subtract inside the parentheses. Think: The signs are different. The answer is negative. Simplify. B. 4(–3 – 8) –44 4(–11) Subtract inside the parentheses. Think: The signs are different. The answer is negative. 2(1 + –8) Add the opposite of 8 inside the parentheses.

10. Evaluating Algebraic Expressions 1-6Multiplying and Dividing Integers Check It Out! Example 2 C. –3(6) – 9 –27 –18 – 9 Multiply. Same sign; use the sign of the integers. The answer is negative. Simplify.

11. Evaluating Algebraic Expressions 1-6Multiplying and Dividing Integers Check It Out! Example 3 3(3) + 4(–3) –3 9 + (–12) Add the strokes over par to under par. Multiply. Add. The golfer's score was 3 under par. 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.