Properties of Addition

2. PROPERTIES
OF
ADDITION

3. There are 3
properties of
Addition:

4.  Commutative Property
 Associative Property
 Identity Property

5. What is
Commutative
Property of
Addition?

6. The word commutative
comes from the verb
“to commute”.
Commutative Property

7. Commuting means
changing, replacing, or
exchanging
Commutative Property

8. The digits change their
order, but the answer
stays the same!
Commutative Property

9. A + B = B + A
Commutative Property

10. Commutative Property
245 + 323 = 586
323 + 245 = 586

11. Commutative Property
646 + 141 = 787
141 + 646 = 787

12. What is
Associative
Property of
Addition?

13. To associate means
to group numbers
together .
Associative Property

14. In math, we use
parenthesis to show
groups.
Associative Property

15. In the order of
operations, always do the
problem or number in the
parenthesis FIRST!
Associative Property

16. The digits stay the
same, but are grouped
together differently.
Associative Property

17. The digits are grouped
together differently. BUT…
• The answer is always the
same!
Associative Property

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

19. (23+55) + 76 = 23+(55 + 76)
78+76 = 23+131
154 = 154
Associative Property

20. 850 + (168 + 201) = (850+168)+201
850+369 = 1 018+201
1 219 = 1 219
Associative Property

21. What is
Identity
Property of
Addition?

22. I am me!
You cannot change
My identity!
Identity Property

23. What do you think is this
number that when you add it
to a number it will not change
its value?
Identity Property

24. When you add a zero
to any number, the sum
is that same as that
number.
Identity Property

25. Identity Property

26. Zero is the only
number you can add
to something and see
no change.
Identity Property

27. A + 0 = A
Identity Property

28. 7334 + 0 = 7334
Identity Property

29. Let us
Practice!!!

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

31. 5 674 + 0 = 5 674

32. (4 658+6 874)+4 566 =
4 658 +(6 874+ 4 566)

33. 91 099 + 0 = 91 099

34. (564+634)+786= 564+(634+786)

35. 658+768=768+658

36. 12 876+ 76 879 =
76 879 +12 876