11-5 Subtracting Integers

Problem of the DayProblem of the Day

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes

11-5 Subtracting Integers

Warm UpFind each sum.

1. –4 + 6 2. 5 + 123. –3 + 3 4. –8 + 9

Give the opposite of each number.5. 7 6. –87. –3 8. 1

2 170 1

–7 83 –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

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

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

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.

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

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

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

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

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

11-5 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.

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.

11-5 Subtracting Integers

Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems

11-5 Subtracting Integers

Lesson QuizFind 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?

–63

5

27,744 ft

12

11-5 Subtracting Integers

1. Find the difference. 9 – 6

A. 3

B. –3

C. 15

D. –15

Lesson Quiz for Student Response Systems

11-5 Subtracting Integers

2. Find the difference. –11 – (–8)

A. 3

B. –3

C. 19

D. –19

Lesson Quiz for Student Response Systems

11-5 Subtracting Integers

3. Evaluate p – (–8) for p = –9.

A. 17

B. 1

C. –1

D. –17

Lesson Quiz for Student Response Systems

11-5 Subtracting Integers

4. Evaluate s – (–8) for s = 13.

A. 21

B. 5

C. –5

D. –21

Lesson Quiz for Student Response Systems

11-5 Subtracting Integers

5. A submarine is 150 feet below the sea level. An airplane is 1,000 feet above the sea level and directly above the submarine. What is the distance between the airplane and the submarine?

A. 850 ft

B. 1,000 ft

C. 1,150 ft

D. 1,500 ft

Lesson Quiz for Student Response Systems