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