1. 11-5 Subtracting Integers Warm Up Find each sum. 1. –4 + 62. 5 + 12 3. –3 + 34. –8 + 9 Give the opposite of each number. 5. 76. –8 7. –38. 1 2 17 0 1 –7 8 3 –1

2. 11-5 Subtracting Integers Problem of the Day Jamal knows his average score for 3 science tests. If he adds the average and the amount that each score differs from the average, what will his sum be? the average

3. 11-5 Subtracting Integers Preview of MA.7.A.3.1 Use and justify the rules for…subtracting…integers. Preview of MA.7.A.3.2 Subtract…integers,…including solving problems in everyday contexts. Sunshine State Standards

4. 11-5 Subtracting Integers Move left on a number line to subtract a positive integer. Move right on a number line to subtract a negative integer. Subtracting Integers on a Number Line

5. 11-5 Subtracting Integers Additional Example 1: Writing Integer Subtraction Write the subtraction modeled on each number line. A. B. –8 –7 – 6 –5 –4 –3 –2 –1 0 1 –3 –4 The subtraction modeled is –3 – 4 = –7. –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 (–5) – (–9) The subtraction modeled is –5 – (–9) = 4.

6. 11-5 Subtracting Integers Check It Out: Example 1 Write the subtraction modeled on each number line. A. B. –5 –2 The subtraction modeled is –5 – 2 = –7. (–3) –(–5) The subtraction modeled is –3 – (–5) = 2. –8 –7 – 6 –5 –4 –3 –2 –1 0 1 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5

7. 11-5 Subtracting Integers Additional Example 2A: Subtracting Integers Find the difference. 4 – 6 4 – 6 = –2 (–6) 4 –3 –2 –1 0 1 2 3 4 5

8. 11-5 Subtracting Integers Additional Example 2B: Subtracting Integers Find the difference. 3 – (–3) –(–3) 3 3 – (–3) = 6 –1 0 1 2 3 4 5 6 7

9. 11-5 Subtracting Integers Check It Out: Example 2A Find the difference. 2 – (–5) –1 0 1 2 3 4 5 6 7 – (–5) 2 2 – (–5) = 7

10. 11-5 Subtracting Integers Check It Out: Example 2B Find the difference. 3 – 6 3 – 6 = –3 (–6) 3 –3 –2 –1 0 1 2 3 4 5

11. 11-5 Subtracting Integers Additional Example 3: Evaluating Integer Expressions Evaluate a – 4 for a = 2. a – 4Write the expression. 2 – 4Substitute 2 for a. –2Subtract.

12. 11-5 Subtracting Integers Check It Out: Example 3 Evaluate b – 6 for b= 8. b – 6Write the expression. 8 – 6Substitute 8 for b. 2Subtract.