Properties Of Operations
Published on Nov 25, 2015
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PRESENTATION OUTLINE
COMMUTATIVE PROERTIES
- Addition
- Multiplication
Commutative Property of Addition
Definition:
When the order of the addends in the problem changes, it doesn't affect the answer.
Ex 1:
3 + 7 = 7 + 3
Ex 2:
4 + (5 + 6) = (5 + 6) + 4
Ex 3:
(-3 + -2) +3 = (-2 + -3) +3
Commutative Property of Multiplication
Definition:
When the order of the factors in the problem changes, it doesn't affect the answer.
Ex 1:
8 * 4 = 4 * 8
Ex 2:
(2*1/4)* 5/2 = 5/2 *(2*1/4)
Ex 3:
(3 * -7) * 8 = 8 * (-7 * 3)
ASSOCIATIVE PROPERTIES
- Addition
- Multiplication
Associative Property of Addition
Definition:
When the grouping of the addends in the problem changes, it doesn't affect the answer.
Ex 1:
6 + (3 + 7) = (6 + 3) + 7
Ex 2:
-6 + (6 + 9) = (-6 + 6) + 9
Associative Property of Multiplication
Definition:
When the grouping of the factors in the problem changes, it doesn't affect the answer.
Ex 1:
(4 * 25) * 38 = 4 * (25 * 38)
Ex 2:
1/3 * (3 * 19) = (1/3 * 3) * 19
IDENTITY PROPERTIES
- Addition
- Multiplication
Identity Property of Addition
Definition:
When a number is added to 0, nothing changes.
Ex 1:
6 + 0 + 5 = 6 + 5
Ex 2:
18 + 0 = 18
Ex 3:
3/4 + 0 = 3/4
Identity Property of Multiplication
Definition:
When a number is multiplied by 1 (in any form) nothing changes.
Ex 1:
5/8 (2/2) = 5/8
Ex 2:
1 (74) = 74
Ex 3:
2 1/2 * 1 = 2 1/2
INVERSE PROPERTIES
- Addition
- Multiplication
