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

2. 2-2 Adding Integers Warm Up Find each absolute value. 1. |8| 2. |–6|
Course 2
2-2
Adding Integers
Warm Up
Find each absolute value.
1. |8|
2. |–6|
3. |–9|
4. |–7|
5. |–12|
6. |53| 8 6 9 7 12 53

3. 2-2 Adding Integers Problem of the Day
Course 2
2-2
Adding Integers
Problem of the Day
Jan’s yearly salary is $30,000, and it will be increased by $3,000 each year. Phil’s salary is $20,000, and it will be increased by $5,000 each year. In how many years will Jan and Phil both have the same yearly salary?
5 years

4. Course 2
2-2
Adding Integers
Learn to add integers.

5. Additional Example 1A: Modeling Integer Addition
Course 2
2-2
Adding Integers
Additional Example 1A: Modeling Integer Addition
Use a number line to find each sum.
–7 + (–4)
+(–4) –7 2
–14 –12 –10 –8 –6 –4 –
Start at 0. Move left 7 spaces. Then move left
4 more spaces.
–7 + (–4) = –11

6. Additional Example 1B: Modeling Integer Addition
Course 2
2-2
Adding Integers
Additional Example 1B: Modeling Integer Addition
Use a number line to find each sum. – 19
–12
–12 –10 –8 –6 –4 –
Start at 0. Move left 12 spaces. Then move
right 19 spaces.
– = 7

7. Insert Lesson Title Here
Course 2
2-2
Adding Integers
Insert Lesson Title Here
Check It Out: Example 1A
Use a number line to find each sum.
–4 + (–5)
+(–5) –4 2
–14 –12 –10 –8 –6 –4 –
Start at 0. Move left 4 spaces. Then move left
5 more spaces.
–4 + (–5) = –9

8. Insert Lesson Title Here
Course 2
2-2
Adding Integers
Insert Lesson Title Here
Check It Out: Example 1B
Use a number line to find each sum.
–7 + 12 12 –7
–12 –10 –8 –6 –4 –
Start at 0. Move left 7 spaces. Then move
right 12 spaces.
– = 5

9. Adding Integers 2-2 Adding Integers
Course 2
2-2
Adding Integers
Adding Integers
To add two integers with the same sign, find the sum of their absolute values. Use the sign of the two integers.
To add two integers with different signs, find the difference of their absolute values. Use the sign of the integer with the greater absolute value.

10. Additional Example 2A: Adding Integers Using Absolute Values
Course 2
2-2
Adding Integers
Additional Example 2A: Adding Integers Using Absolute Values
Find each sum.
–4 + 8
The signs are different. Find the difference of the absolute values.
–4 + 8
Think: 8 – 4 = 4.
Use the sign of the integer with the
greater absolute value. 4

11. Additional Example 2B: Adding Integers Using Absolute Values
Course 2
2-2
Adding Integers
Additional Example 2B: Adding Integers Using Absolute Values
Find each sum.
23 + (–35)
The signs are different. Find the difference of the absolute values.
23 + (–35)
Think: 35 – 23 = 12.
Use the sign of the integer with the
greater absolute value.
–12

12. Insert Lesson Title Here
Course 2
2-2
Adding Integers
Insert Lesson Title Here
Check It Out: Example 2A
Find each sum.
–5 + 3
The signs are different. Find the difference of the absolute values.
–5 + 3
Think: 5 – 3 = 2.
Use the sign of the integer with the
greater absolute value. –2

13. Insert Lesson Title Here
Course 2
2-2
Adding Integers
Insert Lesson Title Here
Check It Out: Example 2B
Find each sum.
–13 + (–24)
The signs are the same. Find the sum of the absolute values.
–13 + (–24)
Think: = 37.
–37
Use the sign of the two integers.

14. Additional Example 3: Evaluating Expressions with Integers
Course 2
2-2
Adding Integers
Additional Example 3: Evaluating Expressions with Integers
Evaluate x + y for x = –42, y = 71.
x + y
Substitute for x and y. –
The signs are different. Think = 29
Use the sign of the integer with the
greater absolute value (positive). 29
When adding integers, think: if the signs are the same, find the sum. If the signs are different, find the difference.
Helpful Hint

15. Insert Lesson Title Here
Course 2
2-2
Adding Integers
Insert Lesson Title Here
Check It Out: Example 3
Evaluate x + y for x = –24, y = 17.
x + y
Substitute for x and y. –
The signs are different. Think: 24 – 17 = 7. –7
Use the sign of the integer with the
greater absolute value (negative).

16. Additional Example 4: Application
Course 2
2-2
Adding Integers
Additional Example 4: Application
The jazz band’s income from a bake sale was $286. Expenses were $21. Use integer addition to find the band’s total profit or loss.
286 + (–21)
Use negative for the expenses.
Find the differences of the
absolute values.
286 – 21
265
The answer is positive.
The band earned $265.

17. Insert Lesson Title Here
Course 2
2-2
Adding Integers
Insert Lesson Title Here
Check it Out: Example 4
The French Club was raising money for a trip to Washington D.C. Their car wash raised $730. They had expenses of $52. Use integer addition to find the club’s total profit or loss.
730 + (–52)
Use negative for the expenses.
Find the differences of the
absolute values.
730 – 52
678
The answer is positive.
The club earned $678.

18. Insert Lesson Title Here
Course 2
2-2
Adding Integers
Insert Lesson Title Here
Lesson Quiz: Part I
Use a number line to find the sum.
1. –7 + (–6)
Find each sum.
2. – (–9)
3. – (–3)
4. Evaluate x + y for x = –2 and y = –15.
–13 2
–14 –12 –10 –8 –6 –4 –
–20
–17

19. Insert Lesson Title Here
Course 2
2-2
Adding Integers
Insert Lesson Title Here
Lesson Quiz: Part II
5. The math club’s income from a bake sale was $217. Advertising expenses were $32. Use integer addition to find the club’s total profit or loss?
$185 profit