Properties of Adding and Multiplying

It states that any number multiplied by 1 is equal to the number:

a x 1 = a

• Identity Property of Addition

• Identity Property of Multiplication

• Zero Property

The property which states that changing the order of the factors does not affect the product:

a x b = b x a

• Commutative Property of Addition

• Commutative Property of Multiplication

• Associative Property of Addition

This states that any number multiplied by zero is equal to 0:

a x 0 = 0

• Identity Property of Addition

• Identity Property of Multiplication

• Zero Property

It states that the sum of a number and its opposite is 0.

• Zero Property

• Multiplicative Inverse Property

• Additive Inverse property

It states that changing the groupings of the factors does not affect the product:

a x ( b x c ) = ( a x b ) x c

• Commutative Property of Multiplication

• Commutative Property of Addition

• Associative Property of Multiplication

3 x 4 x 7=4 x 7 x 3

• Associative Property of Addition

• Commutative Property of Multiplication

• Identity Property of Addition

• Commutative Property of Addition

Which property of addition is used in the following ? (7 + 4) + 2 = 7 + (4 + 2)

• Identity Property

• Commutative Property

• Associative Property

• Distributive Property

Which of the following is an example of Commutative Property of Addition ?

• 4 + 2 = 7 + 4

• (9 + 8) + 5 = 9 + (8 + 5)

• 3 + 9 = 9 + 3

• 6 x 1 = 6

Which is an example of Associative Property of Addition ?

• 4 + 0 = 4

• 6 + (-6) = 0

• (3 + 8) + 5 = 3 + (8 + 5)

• 7 + 3 = 3 + 7

Which equation shows the Commutative Property of Multiplication ?

• 7 x 3 = 7 + 7 + 7

• 8 x 1 = 8

• 3x6 - 4x6 = (3-4)x6

• 5 x 2 = 2 x 5