Properties of Addition

1. Mathematics
2

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
2 + 3 = 5
3 + 2 = 5

11. Commutative Property
66 + 11 = 77
11 + 66 = 77

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. 850 + (1 + 10) = 861
(850 + 1) + 10 = 861
Associative Property

20. (3+5) + 6 = 14
3+(5 + 6) = 14
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. Identity Property

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

28. A + 0 = A
Identity Property

29. 234 + 0 = 234
Identity Property

30. Let us
Practice!!!

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

34. Mathematics
2