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Transparency 5

2. Splash Screen

3. Objective
Subtract integers
Example 5-6b

4. Review Vocabulary Range
The difference between the greatest number and the least number in a set of data
Example 5-6b

5. 1. Separate numbers with sign in front of number
Subtract Integers
1. Separate numbers with sign in front of number
Place a positive sign between them, then follow the addition rules +
Follow addition rules
Example 5-6b

6. 2. Combine 2 negative signs and make a positive
Subtract Integers
2. Combine 2 negative signs and make a positive
4 - (- 7)
Follow addition rules
Example 5-6b

7. Example 1 Subtract Positive Integers
Example 3 Subtract Negative Integers
Example 4 Subtract Negative Integers
Example 5 Evaluate an Expression
Example 6 Use Integers to Solve a Problem
Lesson 5 Contents

8. Separate numbers with sign in front of number 2 - 15
Write problem
Find
Separate numbers with sign in front of number
2 - 15
Place a positive sign between them, then follow the addition rules +
different
Draw arrows to the signs
Determine if the signs are the same or different
1/6
Example 5-1a

9. Different signs, subtract the numbers without the signs 15 - 2
(Remember: big number - small number)
Find
2 - 15 +
different
Keep sign of largest number
15 - 2 - 13
Answer: –13
1/6
Example 5-1a

10. Find
Answer: –8
1/6
Example 5-1b

11. Separate numbers with sign in front of number
Find
Write problem
Separate numbers with sign in front of number +
Place a positive sign between them, then follow the addition rules
same
Draw arrows to the signs
Determine if the signs are the same or different
2/6
Example 5-2a

12. Same sign, add the numbers without the signs 13 + 8 Find
Keep the sign +
same
13 + 8 - 21
Answer: –21
2/6
Example 5-2a

13. Find
Answer: –20
2/6
Example 5-2b

14. Combine the negative signs and make a positive sign
Write problem
Find
Combine the negative signs and make a positive sign
12 – (-6)
Draw arrows to the signs
12 + 6
Determine if the signs are the same or different
Same
Same sign, add the numbers without the signs
12 + 6 18
Keep the sign
Answer: 18
3/6
Example 5-3a

15. Find
Answer: 13
3/6
Example 5-3b

16. Combine the negative signs and make a positive sign
Write problem
Find
Combine the negative signs and make a positive sign
21 – (-8)
Draw arrows to the signs
21 + 8
Determine if the signs are the same or different
Same
21 + 8
Same sign, add the numbers without the signs 29
Keep the sign
Answer: 29
4/6
Example 5-4a

17. Find
Answer: 23
4/6
Example 5-4b

18. Combine the negative signs and make a positive sign
ALGEBRA Evaluate
Write problem
g - h
Replace g with - 2
Bring down -
-2 -
(-7) -2
Replace h with - 7
Combine the negative signs and make a positive sign
different
Draw arrows to the signs
Determine if the signs are the same or different
5/6
Example 5-5a

19. Different signs, subtract the numbers without the signs 7 - 2
ALGEBRA Evaluate
Different signs, subtract the numbers without the signs
(Remember: big number - small number)
g - h
(-7)
-2 - -2
Keep sign of largest number
different
7 - 2 5
Answer: 5
5/6
Example 5-5a

20. ALGEBRA Evaluate
Answer: –10
5/6
Example 5-5b

21. Range = Greatest value - smallest value 40 - (-45)
GEOGRAPHY In Mongolia, the temperature can dip down to –45C in January. The temperature in July may reach 40C. What is the temperature range in Mongolia?
Remember:
Range = Greatest value - smallest value 40 -
(-45)
Find the greatest value
Put subtraction sign in expression
Find the least value
6/6
Example 5-6a

22. Combine the negative signs and make a positive sign
GEOGRAPHY In Mongolia, the temperature can dip down to –45C in January. The temperature in July may reach 40C. What is the temperature range in Mongolia?
Combine the negative signs and make a positive sign 40 -
(-45)
Draw arrows to the signs
Determine if the signs are the same or different
Same sign, add the numbers without the signs
Same
Keep the sign 85
Add dimensional analysis
Answer: 85C
6/6
Example 5-6a

23. *
TEMPERATURE On a particular day in Anchorage, Alaska, the high temperature was 15F and the low temperature was –11F. What is the range of temperatures for that day?
Answer: 26F
6/6
Example 5-6b

24. Assignment
Lesson 3:5
Subtracting Integers
All
End of Lesson 5