The document discusses the three properties of addition: commutative property, associative property, and identity property. It provides examples to illustrate each property. The commutative property states that the order of numbers being added does not matter, such as 5+4=4+5. The associative property refers to grouping of numbers, where the grouping does not change the sum, such as (3+5)+8=3+(5+8). The identity property indicates that adding zero to a number does not change the number, like 9+0=9. The document then provides practice problems and asks the reader to identify which property each example demonstrates.

2. Solve the following. Add the numbers in the
parenthesis first. Show your solution.
1. (7+3)+7=
2. 5+(9+5)=
3. 6+ (6+6)=
4. (7+4)+5=
5. (3+5)+(5+4)=

4. PROPERTIES
OF
ADDITION

5. There are 3
properties of
Addition:

6.  Commutative Property
 Associative Property
 Identity Property

7. What is
Commutative
Property of
Addition?

8. Tells us that no matter
what the order of the
digits, the answer will
stays the same.
Commutative Property of Addition

9. A + B = B + A
Commutative Property of Addition

10. 5+4=9
4+5=9
Commutative Property of Addition

11. 6+4=4+6
Commutative Property of Addition

12. 6+4=4+6
10=10
Commutative Property of Addition

13. What is
Associative
Property of
Addition?

14. comes from the
word “associate” that
means to group the
numbers together .
Associative Property of Addition

15. Tells us that the digits or
numbers are group
differently. BUT… The
answer is the same!
Associative Property of Addition

16. To show groupings
in MATH, we use
PARENTHESIS ( ).
Associative Property of Addition

17. Always solve the
numbers inside the
parenthesis FIRST!
REMEMBER!!!

18. (A + B)+ C = A + (B + C)
Associative Property of Addition

19. (3+5) + 8 = 3+(5 + 8)
Associative Property of Addition

20. (3+5) + 8 = 3+(5 + 8)
Associative Property of Addition

21. (3+5) + 8 = 3+(5 + 8)
Associative Property of Addition

22. (3+5) + 8 = 3+(5 + 8)
8+8 =
Associative Property of Addition

23. (3+5) + 8 = 3+(5 + 8)
8+8 =
16 =
Associative Property of Addition

24. (3+5) + 8 = 3+(5 + 8)
8+8 =
16 =
Associative Property of Addition

25. (3+5) + 8 = 3+(5 + 8)
8+8 = 3+13
16 = 16
Associative Property of Addition

26. (3+5) + 8 = 3+(5 + 8)
8+8 = 3+13
16 = 16

Associative Property of Addition

27. 8 + (7 + 5) = (8 + 7) + 5
8 + 12 = 15 + 5
20 = 20
Associative Property of Addition

28. What is
Identity
Property of
Addition?

29. I am me!
You cannot change
My identity!
Identity Property of Addition

30. Think of a number that
when added to a number
it will not change its
value.
Identity Property of Addition

31. Identity Property of Addition

32. Zero is the only number you
can add to any number and you
will see no changes.
Identity Property of Addition

33. Tells us that even if you
add a zero to any number,
the sum is that number or
it will not change its value.
Identity Property of Addition

34. A + 0 = A
Identity Property

35. 9 + 0 = 9
19 + 0 =19
Identity Property of Addition

36. 1 000 + 0 = ?
Identity Property of Addition

37. 1 000 + 0 = 1 000
Identity Property of Addition

38. Let us
Practice!!!

39. Directions: Write CP if it is
Commutative property,
AP if it is Associative Property,
IP if it Identity Property.

40. 6 + 0 = 6

41. (8 + 8) + 6 = 8 +(8 + 6)

42. 8+7=7+8

43. (6+4)+7= 6+(4+7)

44. 99 + 0 = 99

45. 12 + 9 = 9 + 12