10.3 - Commutative and Associative Properties

Front

What is the commutative property?

Back

The commutative property states that the order of items being added or multiplied does not affect the result.

Front

Provide an example of the commutative property of addition.

Back

6 + 3 = 3 + 6

Front

Provide an example of the commutative property of multiplication.

Back

5 x 1 = 1 x 5

Front

What is the associative property?

Back

The associative property states that the way in which numbers are grouped when adding or multiplying does not change the result.

Front

Provide an example of the associative property of addition.

Back

(A + B) + C = A + (B + C)

Front

Provide an example of the associative property of multiplication.

Back

(A x B) x C = A x (B x C)

Front

What is an example of an operation that does not follow the associative property?

Back

(a - b) - c ≠ a - (b - c) (subtraction is not associative).

Front

How does the commutative property apply to subtraction?

Back

Subtraction is not commutative; changing the order of the numbers changes the result.

Front

How does the commutative property apply to division?

Back

Division is not commutative; changing the order of the numbers changes the result.

Front

What is the significance of the commutative property in mathematics?

Back

It allows for flexibility in computation, making calculations easier.