1. INTEGERS
Integers include: the counting numbers…

2. INTEGERS
Integers include : - the counting numbers… 1, 2, 3, 4, 5 …

3. INTEGERS
Integers include : - the counting numbers… 1, 2, 3, 4, 5 …
- their negative partners…

4. INTEGERS
Integers include : - the counting numbers… 1, 2, 3, 4, 5 …
- their negative partners… -1, -2, -3, -4, -5 …

5. INTEGERS
Integers include : - the counting numbers… 1, 2, 3, 4, 5 …
- their negative partners… -1, -2, -3, -4, -5 …
- AND zero 0

6. INTEGERS
Integers include : - the counting numbers… 1, 2, 3, 4, 5 …
- their negative partners… -1, -2, -3, -4, -5 …
- AND zero 0
We can show them on a number line … …

7. INTEGERS
Integers include : - the counting numbers… 1, 2, 3, 4, 5 …
- their negative partners… -1, -2, -3, -4, -5 …
- AND zero 0
Each integer and its partner are the same distance from zero … …

8. INTEGERS
Integers include : - the counting numbers… 1, 2, 3, 4, 5 …
- their negative partners… -1, -2, -3, -4, -5 …
- AND zero 0
Each integer and its partner are the same distance from zero 2 2 … …

9. INTEGERS
Integers include : - the counting numbers… 1, 2, 3, 4, 5 …
- their negative partners… -1, -2, -3, -4, -5 …
- AND zero 0
Each integer and its partner are the same distance from zero 5 5 … …

10. INTEGERS
Integers include : - the counting numbers… 1, 2, 3, 4, 5 …
- their negative partners… -1, -2, -3, -4, -5 …
- AND zero 0
These numbers are ADDITIVE INVERSES 5 5 … …

11. INTEGERS
Integers include : - the counting numbers… 1, 2, 3, 4, 5 …
- their negative partners… -1, -2, -3, -4, -5 …
- AND zero 0
These numbers are ADDITIVE INVERSES, when added together, they equal “zero” 5 5 … …

12. INTEGERS
Integers include : - the counting numbers… 1, 2, 3, 4, 5 …
- their negative partners… -1, -2, -3, -4, -5 …
- AND zero 0
These numbers are ADDITIVE INVERSES, when added together, they equal “zero” 5 5 … …
5 + ( - 5 ) = 0

13. INTEGERS
Integers include : - the counting numbers… 1, 2, 3, 4, 5 …
- their negative partners… -1, -2, -3, -4, -5 …
- AND zero 0
These numbers are ADDITIVE INVERSES, when added together, they equal “zero” 2 2 … …
2 + ( - 2 ) = 0

14. Here are some examples of additive inverses…
Integer
Additive
Inverse

15. -5 Here are some examples of additive inverses… Integer Additive

16. -5 5 Here are some examples of additive inverses… Integer Additive

17. -5 5 12 Here are some examples of additive inverses… Integer Additive

18. -5 5 12 -12 Here are some examples of additive inverses… Integer

19. -5 5 12 -12 7 Here are some examples of additive inverses… Integer

20. -5 5 12 -12 7 -7 Here are some examples of additive inverses… Integer

21. -5 5 12 -12 7 -7 -30 Here are some examples of additive inverses…
Integer
Additive
Inverse -5 5 12
-12 7 -7
-30

22. -5 5 12 -12 7 -7 -30 30 Here are some examples of additive inverses…
Integer
Additive
Inverse -5 5 12
-12 7 -7
-30 30

23. ADDITION / SUBTRACTION of Integers
STEPS : change any “double” signs

24. ADDITION / SUBTRACTION of Integers
STEPS : change any “double” signs
Double signs such as or need to be changed…

25. ADDITION / SUBTRACTION of Integers
STEPS : change any “double” signs
Double signs such as or need to be changed to single signs…
+ + changes to +
- - changes to +
+ - changes to -
- + changes to -

26. ADDITION / SUBTRACTION of Integers
STEPS : change any “double” signs
2a. The sum of two positive integers is positive
2b. The sum of two negative integers is negative
2c. The sum of a positive and negative integer is the difference between the two numbers, then your answer takes on the sign of the integer the farthest away from zero.

27. ADDITION / SUBTRACTION of Integers
STEPS : change any “double” signs
2a. The sum of two positive integers is positive
2b. The sum of two negative integers is negative
2c. The sum of a positive and negative integer is the difference between the two numbers, then your answer takes on the sign of the integer the farthest away from zero.
1st change double sign ++ means +
Add the two integers

28. ADDITION / SUBTRACTION of Integers
STEPS : change any “double” signs
2a. The sum of two positive integers is positive
2b. The sum of two negative integers is negative
2c. The sum of a positive and negative integer is the difference between the two numbers, then your answer takes on the sign of the integer the farthest away from zero.
1st change double sign means -
Add 3 and 4 and place a negative sign in front

29. ADDITION / SUBTRACTION of Integers
STEPS : change any “double” signs
2a. The sum of two positive integers is positive
2b. The sum of two negative integers is negative
2c. The sum of a positive and negative integer is the difference between the two numbers, then your answer takes on the sign of the integer the farthest away from zero.
1st change double sign + + means +
Subtract; 4 – 3 =1…since +4 is farther from zero than - 3, the answer is +

30. ADDITION / SUBTRACTION of Integers
STEPS : change any “double” signs
3a. A larger integer minus a smaller integer is positive
- just subtract normally
3b. A smaller integer minus a larger integer is negative
- find the difference, then the integer farther from zero gives + or -
3c. A negative integer minus a negative integer is negative
- exactly like 2b in the addition set

31. ADDITION / SUBTRACTION of Integers
STEPS : change any “double” signs
3a. A larger integer minus a smaller integer is positive
- just subtract normally
3b. A smaller integer minus a larger integer is negative
- find the difference, then the integer farther from zero gives + or -
3c. A negative integer minus a negative integer is negative
- exactly like 2b in the addition set
1st change double sign - + means -
Subtract; 8 – 4

32. ADDITION / SUBTRACTION of Integers
STEPS : change any “double” signs
3a. A larger integer minus a smaller integer is positive
- just subtract normally
3b. A smaller integer minus a larger integer is negative
- find the difference, then the integer farther
from zero gives + or -
3c. A negative integer minus a negative integer is negative
- exactly like 2b in the addition set
1st change double sign - + means -
The difference between 8 and 4 = 4.
Since 8 is farther away from zero and
negative, the answer is negative

33. ADDITION / SUBTRACTION of Integers
STEPS : change any “double” signs
3a. A larger integer minus a smaller integer is positive
- just subtract normally
3b. A smaller integer minus a larger integer is negative
- find the difference, then the integer farther from zero gives + or -
3c. A negative integer minus a negative integer is negative
- exactly like 2b in the addition set
1st change double sign - + means -
Add 8 and 4 , place a negative sign in front