Distributive, Commutative, and Associative Properties

Front

What is the Associative Property of Addition?

Back

(A + B) + C = A + (B + C) means that the way numbers are grouped in addition does not change their sum.

Front

What is the Associative Property of Multiplication?

Back

(A x B) x C = A x (B x C) means that the way numbers are grouped in multiplication does not change their product.

Front

What is the Commutative Property of Addition?

Back

A + B = B + A means that the order of numbers in addition does not change their sum.

Front

What is the Commutative Property of Multiplication?

Back

A x B = B x A means that the order of numbers in multiplication does not change their product.

Front

What is the Distributive Property?

Back

A x (B + C) = (A x B) + (A x C) means that multiplying a number by a sum is the same as multiplying each addend by the number and then adding the products.

Front

What is an example of the Associative Property of Addition?

Back

(12 + 8) + 3 = 12 + (8 + 3) shows that grouping does not affect the sum.

Front

What is an example of the Associative Property of Multiplication?

Back

(4 x 5) x 6 = 4 x (5 x 6) shows that grouping does not affect the product.

Front

What is an example of the Commutative Property of Addition?

Back

5 + 3 = 3 + 5 shows that the order of addition does not matter.

Front

What is an example of the Commutative Property of Multiplication?

Back

2 x 3 = 3 x 2 shows that the order of multiplication does not matter.

Front

What is the Zero Property of Multiplication?

Back

A x 0 = 0 means that any number multiplied by zero equals zero.