1. 2-2 Subtracting Integers Warm Up Problem of the Day
Course 3
Warm Up
Problem of the Day
Lesson Presentation

2. 2-2 Subtracting Integers Warm Up Add. 1. –7 + 2 4. –6 + (–28)
Course 3
2-2
Subtracting Integers
Warm Up
Add.
1. – –6 + (–28)
2. –12 + (–9) (–87)
(–19) 6. –18 + (–24) –5
–34
–21 17 13
–42

3. 2-2 Subtracting Integers Problem of the Day
Course 3
2-2
Subtracting Integers
Problem of the Day
Copy and complete the magic square. The magic sum is 0. –8 +3 –2 –3 +5 +2 –5 +8

4. Course 3
2-2
Subtracting Integers
Learn to subtract integers.

5. Insert Lesson Title Here
Course 3
2-2
Subtracting Integers
Insert Lesson Title Here
Subtracting a smaller number from a larger 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.
SUBTRACTING INTEGERS
Words
Numbers
Algebra
Change the subtraction sign to an addition sign and change the sign of the second number.
2 – 3 = 2 + (–3)
4 – (–5) = 4 + 5
a – b = a + (–b)
a – (–b) = a + b

6. Additional Example 1: Subtracting Integers
Course 3
2-2
Subtracting Integers
Additional Example 1: Subtracting Integers
Subtract.
A. –7 – 4
–7 – 4 = –7 + (–4)
Add the opposite of 4.
= –11
Same sign; use the sign of the integers.
B. 8 – (–5)
8 – (–5) = 8 + 5
Add the opposite of –5.
= 13
Same sign; use the sign of the integers.
C. –6 – (–3)
–6 – (–3) = –6 + 3
Add the opposite of –3.
= –3
6 > 3; use the sign of 6.

7. 2-2 Subtracting Integers Try This: Example 1 Subtract. A. 3 – (–6)
Course 3
2-2
Subtracting Integers
Try This: Example 1
Subtract.
A. 3 – (–6)
3 – (–6) = 3 + 6
Add the opposite of –6.
Same signs; use the sign of the integers.
= 9
B. –4 – 1
–4 – 1 = –4 + (–1)
Add the opposite of 1.
= –5
Same sign; use the sign of the integers.
C. –7 – (–8)
–7 – (–8) = –7 + 8
Add the opposite of –8.
= 1
8 > 7; use the sign of 8.

8. Additional Example 2A: Evaluating Expressions with Integers
Course 3
2-2
Subtracting Integers
Additional Example 2A: Evaluating Expressions with Integers
Evaluate the expression for the given value of the variable.
A. 8 – j for j = –6
8 – j
8 – (–6)
Substitute –6 for j.
= 8 + 6
Add the opposite of –6.
= 14
Same sign; use the sign of the integers.

9. Additional Example 2B: Evaluating Expressions with Integers
Course 3
2-2
Subtracting Integers
Additional Example 2B: Evaluating Expressions with Integers
Evaluate the expression for the given value of the variable.
B. –9 – y for y = –4
–9 – y
–9 – (–4)
Substitute –4 for y.
= –9 + 4
Add the opposite of –4.
= –5
9 > 4; use the sign of 9.

10. Additional Example 2C: Evaluating Expressions with Integers
Course 3
2-2
Subtracting Integers
Additional Example 2C: Evaluating Expressions with Integers
Evaluate each expression for the given value of the variable.
C. n – 6 for n = –2
n – 6
–2 – 6
Substitute –2 for n.
= –2 + (–6)
Add the opposite of 6.
= –8
Same sign; use the sign of the integers.

11. 2-2 Subtracting Integers Try This: Example 2A
Course 3
2-2
Subtracting Integers
Try This: Example 2A
Evaluate the expression for the given value of the variable.
A. 11 – m for m = –3
11 – m
11 – (–3)
Substitute –3 for m. =
Add the opposite of –3.
= 14
Same sign; use the sign of the integers.

12. 2-2 Subtracting Integers Try This: Example 2B
Course 3
2-2
Subtracting Integers
Try This: Example 2B
Evaluate the expression for the given value of the variable.
B. –5 – r for r = –2
–5 – r
–5 – (–2)
Substitute –2 for r.
= –5 + 2
Add the opposite of –2.
= –3
5 > 2; use the sign of 5.

13. 2-2 Subtracting Integers Try This: Example 2C
Course 3
2-2
Subtracting Integers
Try This: Example 2C
Evaluate each expression for the given value of the variable.
C. a – 7 for a = –9
a – 7
–9 – 7
Substitute –9 for a.
= –9 + (–7)
Add the opposite of 7.
= –16
Same sign; use the sign of the integers.

14. 2-2 Subtracting Integers
Course 3
2-2
Subtracting Integers
Additional Example 3: Architecture Application
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?
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.

15. 2-2 Subtracting Integers Try This: Example 3
Course 3
2-2
Subtracting Integers
Try This: Example 3
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?
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.

16. Insert Lesson Title Here
Course 3
2-2
Subtracting Integers
Insert Lesson Title Here
Lesson Quiz: Part 1
1. Write a subtraction equation for the number line diagram.
–4 –3 –2 –
2 – 3 – 2 = –3
Perform the given operations.
2. –6 – (–4) –2
–16
3. –9 – 4 + (–3)

17. Insert Lesson Title Here
Course 3
2-2
Subtracting Integers
Insert Lesson Title Here
Lesson Quiz: Part 2
Evaluate each expression for the given value of the variable.
4. 9 – s for s = –5 14
5. –4 – w + 5 for w = 21
–20