11-5 Subtracting Integers Warm Up Problem of the Day Course 1 Warm Up Problem of the Day Lesson Presentation

Subtracting Integers 11-5 Warm Up Find each sum. 1. –4 + 6 2. 5 + 12 Course 1 11-5 Subtracting Integers Warm Up Find each sum. 1. –4 + 6 2. 5 + 12 3. –3 + 3 4. –8 + 9 Give the opposite of each number. 5. 7 6. –8 7. –3 8. 1 2 17 1 –7 8 3 –1

Subtracting Integers 11-5 Problem of the Day Course 1 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

Course 1 11-5 Subtracting Integers Learn to subtract integers.

Subtracting Integers on a Number Line Course 1 11-5 Subtracting Integers Subtracting Integers on a Number Line Move left on a number line to subtract a positive integer. Move right on a number line to subtract a negative integer.

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

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

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

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

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

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

Additional Example 3: Evaluating Integer Expressions Course 1 11-5 Subtracting Integers Additional Example 3: Evaluating Integer Expressions Evaluate a – 4 for a = 2. a – 4 Write the expression. 2 – 4 Substitute 2 for a. –2 Subtract.

Subtracting Integers 11-5 Check It Out: Example 3 Course 1 11-5 Subtracting Integers Check It Out: Example 3 Evaluate b – 6 for b= 8. b – 6 Write the expression. 8 – 6 Substitute 8 for b. 2 Subtract.

Insert Lesson Title Here Course 1 11-5 Subtracting Integers Insert Lesson Title Here Lesson Quiz Find each difference. 1. 8 – 5 2. –9 – (–3) Evaluate x – (–7) for each value of x. 3. x = –2 4. x = 5 5. The peak of Mt. Everest is approximately 26,544 ft above sea level. The shore of the Dead Sea is about 1,200 ft below sea level. How much higher is the peak of Mt. Everest than the shore of the Dead Sea? 3 –6 5 12 27,744 ft