1. Click the mouse button or press the Space Bar to display the answers.
Transparency 4

2. Splash Screen

3. Objective
To add integers
Example 4-1a

4. Two numbers with the same absolute value but with different signs
Vocabulary
Opposites
Two numbers with the same absolute value
but with different signs
4 -4
Example 4-1a

5. An integer and its opposite
Vocabulary
Additive inverse
An integer and its opposite
3 -3
Example 4-1a

6. Additive Inverse Property
The sum of any number and its additive inverse is zero
7 + (-7) = 0 x + (-x) = 0
Example 4-1a

7. Keep sign of largest number
Add Integers
Same Sign
2. Different Signs
Add numbers
Subtract numbers
Keep sign
Keep sign of largest number
Example 4-1a

8. Example 1 Add Integers with the Same Sign
Example 3 Add Integers with Different Signs
Example 4 Add Integers with Different Signs
Example 5 Add Integers with Different Signs
Example 6 Add Three or More Integers
Example 7 Add Three or More Integers
Example 8 Use Integers to Solve a Problem
Lesson 4 Contents

9. Draw arrows to the signs
Find
Write problem
( - 4 )
Draw arrows to the signs
Determine if the signs are the same or different
Same
- 12 12
Same sign, add the numbers without the signs
Keep the sign which is -
Answer: - 12
1/8
Example 4-1a

10. Find
Answer: - 9
1/8
Example 4-1b

11. Draw arrows to the signs
Find
Write problem
( - 5 )
Draw arrows to the signs
Determine if the signs are the same or different
Same
- 26 26
Same sign, add the numbers without the signs
Keep the sign which is -
Answer:
2/8
Example 4-2a

12. Find
Answer:
2/8
Example 4-2b

13. Draw arrows to the signs 4 + ( - 6 )
Write problem
Find
Draw arrows to the signs
4 + ( - 6 )
Determine if the signs are the same or different
Different
Different signs, subtract the numbers without the signs
(Remember: big number - small number)
- 2 2
Answer: - 2
Keep sign of largest number which is negative
3/8
Example 4-3a

14. Find
Answer: - 2
3/8
Example 4-3b

15. Draw arrows to the signs
Write problem
Find
Draw arrows to the signs
Determine if the signs are the same or different
Different
Different signs, subtract the numbers without the signs
(Remember: big number - small number) 4
Answer: 4
Keep sign of largest number which is positive
4/8
Example 4-4a

16. Find
Answer: 2
4/8
Example 4-4b

17. Draw arrows to the signs
Write problem
Find
Draw arrows to the signs
( - 16 )
Determine if the signs are the same or different
Different
Different signs, subtract the numbers without the signs
(Remember: big number - small number) 17
Answer: 17
Keep sign of largest number which is positive
5/8
Example 4-5a

18. Find
Answer: 10
5/8
Example 4-5b

19. Follow order of operations rules P E MD AS Different
Find
Write problem
2 + ( - 5 ) + ( - 3 )
Follow order of operations rules
P E MD AS
Different
Add from left to right
Draw arrows to the signs
Determine if the signs are the same or different
6/8
Example 4-6a

20. Different signs, subtract the numbers without the signs 5 - 2
(Remember: big number - small number)
Find
2 + ( - 5 ) + ( - 3 )
Different
Keep sign of largest number which is negative
- 3
( - 3 ) 3
Same
Bring down + ( - 3 )
Draw arrows to the signs
Determine if the signs are the same or different
6/8
Example 4-6a

21. Same sign, add the numbers without the signs 3 + 3 Find
2 + ( - 5 ) + ( - 3 )
Keep the sign which is -
Different
( - 3 )
- 3 3
Same
- 6 6
Answer: - 6
6/8
Example 4-6a

22. Find
Answer: - 5
6/8
Example 4-6b

23. Follow order of operations rules - 17 + 6 + 17 + 20 P E MD AS
Find
Write problem
Follow order of operations rules
P E MD AS
Different
Add from left to right
Draw arrows to the signs
Determine if the signs are the same or different
7/8
Example 4-7a

24. Different signs, subtract the numbers without the signs 17 - 6
(Remember: big number - small number)
Find
Different
Keep sign of largest number which is negative
- 11 11
Bring down
Different
Draw arrows to the signs
Determine if the signs are the same or different
7/8
Example 4-7a

25. Different signs, subtract the numbers without the signs 17 - 11
Find
Remember: big number - small number
Keep sign of largest number which is positive
Different
Bring down 6
Draw arrows to the signs
Determine if the signs are the same or different
Same 26
Same sign, add the numbers without the signs
Answer: 26
Keep the sign which is +
7/8
Example 4-7a

26. Find
Answer: 12
7/8
Example 4-7b

27. Write a problem using integers 50 50 + 30 50 + 30 - 65
STOCKS An investor owns 50 shares in a video game manufacturer. A broker purchases 30 shares more for the client on Tuesday. On Friday, the investor asks the broker to sell 65 shares. How many shares of this stock will the client own after these trades are completed?
Write a problem using integers 50
“Owns” refers to a positive integer
“Purchase” refers to a positive integer
“Sell” refers to a negative integer
8/8
Example 4-8a

28. Follow order of operations rules 50 + 30 - 65 P E MD AS
STOCKS An investor owns 50 shares in a video game manufacturer. A broker purchases 30 shares more for the client on Tuesday. On Friday, the investor asks the broker to sell 65 shares. How many shares of this stock will the client own after these trades are completed?
Follow order of operations rules
P E MD AS
Add from left to right
Same
Draw arrows to the signs
Determine if the signs are the same or different
8/8
Example 4-8a

29. Same sign, add the numbers without the signs 50 + 30 Same
STOCKS An investor owns 50 shares in a video game manufacturer. A broker purchases 30 shares more for the client on Tuesday. On Friday, the investor asks the broker to sell 65 shares. How many shares of this stock will the client own after these trades are completed?
Same sign, add the numbers without the signs
Same 80
Keep the sign which is +
Bring down
8/8
Example 4-8a

30. Draw arrows to the signs
STOCKS An investor owns 50 shares in a video game manufacturer. A broker purchases 30 shares more for the client on Tuesday. On Friday, the investor asks the broker to sell 65 shares. How many shares of this stock will the client own after these trades are completed?
Draw arrows to the signs
Determine if the signs are the same or different
Different 15
Different signs, subtract the numbers without the signs
(Remember: big number - small number)
8/8
Example 4-8a

31. Keep sign of largest number which is positive
STOCKS An investor owns 50 shares in a video game manufacturer. A broker purchases 30 shares more for the client on Tuesday. On Friday, the investor asks the broker to sell 65 shares. How many shares of this stock will the client own after these trades are completed?
Keep sign of largest number which is positive
Different
Label your answer
15 shares 15
Answer: shares
8/8
Example 4-8a

32. *
MONEY Jaime gets an allowance of $5. She spends $2 on video games and $1 on lunch. Her best friend repays a $2 loan and she buys a $3 pair of socks. How much money does Jaime have left?
Answer: $1
8/8
Example 4-8b

33. Assignment
Lesson 1:4
Adding Integers 26
All
End of Lesson 4