1-6 subtracting integers warm up warm up lesson presentation lesson presentation problem of the day...

1-6 Subtracting Integers

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Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes


Warm UpAdd.

1. –7 + 2 4. –6 + (–28)

2. –12 + (–9) 5. 104 + (–87)

3. 32 + (–19) 6. –18 + (–24)

–5 –34

17

–42

–21

13


Problem of the Day

Copy and complete the magic square. The magic sum is 0.

–3

0–2

+3–8+5

+2

–5+8


Learn to subtract integers.


Subtracting a lesser number from a greater number is the same as finding how far apart the two numbers are on a number line. Subtracting an integer is the same as adding its opposite.


Additional Example 1: Subtracting Integers

A. –7 – 4

–7 – 4 = –7 + (–4)

B. 8 – (–5)

8 – (–5) = 8 + 5

C. –6 – (–3)

–6 – (–3) = –6 + 3

= –11

= 13

= –3

Add the opposite of 4.

Add the opposite of –5.


Same sign; use the sign of the integers.


6 > 3; use the sign of 6.

Subtract.


Check It Out: Example 1

A. 3 – (–6)

3 – (–6) = 3 + 6

B. –4 – 1

–4 – 1 = –4 + (–1)

C. –7 – (–8)

–7 – (–8) = –7 + 8

= 9

= –5

= 1




Same signs; use the sign of the integers.



Subtract.


8 – j for j = –6

8 – j

8 – (–6) Substitute –6 for j.

Evaluate the expression for the given value of the variable.

8 + 6

14



Additional Example 2A: Evaluating Expressions with Integers


–9 – y for y = –4

–9 + 4

–5


–9 – y

–9 – (–4) Substitute –4 for y.



Additional Example 2B: Evaluating Expressions with Integers


n – 6 for n = –2

n – 6

–2 – 6 Substitute –2 for n.

Evaluate each expression for the given value of the variable.

–2 + (–6)

–8



Additional Example 2C: Evaluating Expressions with Integers


11 – m for m = –3

11 – m

11 – (–3) Substitute –3 for m.


11 + 3

14



Check It Out: Example 2A


–5 – r for r = –2

–5 + 2

–3


–5 – r

–5 – (–2) Substitute –2 for r.



Check It Out: Example 2B


a – 7 for a = –9

a – 7

–9 – 7 Substitute –9 for a.


–9 + (–7)

–16



Check It Out: Example 2C


The top of the Sears Tower in Chicago, is 1454 feet above street level, while the lowest level is 43 feet below street level. How far is it from the lowest level to the top?

Additional Example 3: Architecture Application

1454 – (–43) Subtract the lowest level from the height.

1454 + 43 Add the opposite of (–43).

1497 Same sign; use the sign of the integers.

It is 1497 feet from the lowest level to the top.


The distance from the high dive to the swimming pool is 10 feet. The pool is 12 feet deep. What is the total distance from the high dive to the bottom of the pool?

Check It Out: Example 3

10 – (–12) Subtract the depth of the pool from the height of the high dive.

10 + 12 Add the opposite of (–12).

22 Same sign; use the sign of the integers.

It is 22 feet from the diving board to the bottom of the pool.


Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems

1-6 Subtracting IntegersLesson Quiz

Subtract.

1. –6 – (–4) –2 –6 92. –3 – 3 3. 4 – (–5)


4. 9 – s for s = –5 14

5. –4 – w + 5 for w = 21 –20

6. Suretta is flying in an airplane and rises an additional 20 feet. Then she descends 190 feet toward the ground. How far below her original height did Suretta go? 170 feet


1. Subtract –9 – (–8).

A. –17

B. –1

C. 1

D. 17



2. Subtract –17 – 23.

A. 40

B. 6

C. –6

D. –40



3. Subtract 24 – (–26).

A. 50

B. 2

C. 0

D. –2



4. Evaluate the expression for the given value of the variable.

8 – r for r = –3

A. –5

B. 5

C. 11

D. 14



5. Evaluate the expression –2 – z + 8 for z = –15.

A. 21

B. 9

C. –9

D. –21


1-6 subtracting integers warm up warm up lesson presentation lesson presentation problem of the day...

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