1. Subtract Integers
With a Number Line

2. Subtract Integers
Is this a “positive 5” or “plus 5”? +5
BOTH

3. Subtract Integers
HINT: If you don’t see a negative or positive sign in front of a number it is always positive. 5 +

4. Subtract Integers
Is this a “negative 7” or “minus 7”? -7
BOTH

5. –7 HINT: The sign in front of the number BELONGS TO THE NUMBER!
Subtract Integers
HINT: The sign in front of the number BELONGS TO THE NUMBER! –7

6. Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8
Combining Integers
Same Signs
Watch the direction of the elevator when we do integer problems with the SAME SIGN!

7. Subtract Integers Combining Integers Same Signs 7 6 5 4 3 2 1 -1 -2 -3-1 -2 -3 -4 -5 -6 -7 -8
Combining Integers +4
Same Signs
1) = +7 +3

8. Subtract Integers Combining Integers Same Signs 7 6 5 4 3 2 1 -1 -2 -3-1 -2 -3 -4 -5 -6 -7 -8
Combining Integers
Same Signs
1) = +7
2) = -6 -2 -4

9. Subtract Integers Combining Integers Same Signs 7 6 5 4 3 2 1 -1 -2 -3-1 -2 -3 -4 -5 -6 -7 -8
Combining Integers
Same Signs +5
1) = +7
2) = -6 +1
3) = +6

10. What do you notice about the direction of the integer elevator?
Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8
Combining Integers
Same Signs
1) = +7
2) = -6
3) = +6
4) = -8 -5
What do you notice about the direction of the integer elevator? -3

11. A positive and a positive travels up up.
Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8
Combining Integers
Same Signs
1) = +7
2) = -6
3) = +6
4) = -8 -5
A positive and a positive travels up up.
A negative and negative travels down down. -3

12. Both signs are the same so you end up traveling the same direction.
Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8
Combining Integers
Same Signs
1) = +7
2) = -6
3) = +6
4) = -8 -5
Both signs are the same so you end up traveling the same direction. -3

13. When the signs are the same you take the SUM of the numbers
Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8
Combining Integers
Same Signs
1) = +7
2) = -6
3) = +6
4) = -8 -5
When the signs are the same
you take the SUM of the numbers -3

14. SUM = ADD Subtract Integers Combining Integers Same Signs7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8
Combining Integers
SUM = ADD
Same Signs
1) = +7
5) =
+14
2) = -6
6) =
-16
3) = +6
7) =
+10
4) = -8
8) =
-13 -5
When the signs are the same
you take the SUM of the numbers. -3

15. Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8
Combining Integers
Different Signs
Watch the direction of the elevator when we do integer problems with the DIFFERENT SIGNS!

16. Subtract Integers Combining Integers Different Signs 7 6 5 4 3 2 1 -1-1 -2 -3 -4 -5 -6 -7 -8
Combining Integers
Different Signs
1) = +1 +4 -3

17. Subtract Integers Combining Integers Different Signs 7 6 5 4 3 2 1 -1-1 -2 -3 -4 -5 -6 -7 -8
Combining Integers
Different Signs
1) = +1 +2 -4
2) = -2

18. Subtract Integers Combining Integers Different Signs 7 6 5 4 3 2 1 -1-1 -2 -3 -4 -5 -6 -7 -8
Combining Integers
Different Signs
1) = +1
2) = -2
3) = -4 -5 +1

19. What do you notice about the direction of the integer elevator?
Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8
Combining Integers
Different Signs
What do you notice about the direction of the integer elevator? +5
1) = +1
2) = -2
-12
3) = -4
4) = -7

20. A positive and a negative travels up then down .
Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8
Combining Integers
Different Signs
A positive and a negative travels up then down . +5
1) = +1
2) = -2
-12
3) = -4
A negative and a positive travels down then up.
4) = -7

21. Subtract Integers Combining Integers Different Signs7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8
Combining Integers
Different Signs +5
1) = +1
2) = -2
-12
3) = -4
4) = -7
NOTICE: The integer elevator is moving in different directions because both numbers are different!

22. When the signs are different you take the DIFFERENCE of the numbers.
Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8
Combining Integers
Different Signs +5
1) = +1
2) = -2
-12
3) = -4
4) = -7
When the signs are different
you take the DIFFERENCE of the numbers.

23. When the signs are different you take the DIFFERENCE of the numbers.
Subtract Integers 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8
DIFFFERNCE = SUBTRACT
Combining Integers
Different Signs +5
5) = -5
1) = +1
6) = -7
2) = -2
7) = +6
-12
3) = -4
8) = +7
4) = -7
When the signs are different
you take the DIFFERENCE of the numbers.

24. Aren’t integers interesting? TAKE OUT YOUR STUDY GUIDE
Subtract Integers
Aren’t integers
interesting?
TAKE OUT YOUR
STUDY GUIDE

25. USING A NUMBER LINE -2 + 2 - 4 = #11 Positive Number = Up
START AT ZERO AND MOVE TO THE 1ST NUMBER!
Integer
Elevator 8 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8
ADDING INTEGERS
Positive Number = Up
Negative Number = Down
SUBTRACTING INTEGERS +2
Integer
Entrance -4
Subtract a Negative = Up
Subtract a Positive = Down = -2