Properties of Multiplication

Front

What is the associative property of multiplication?

Back

The associative property of multiplication states that the way in which numbers are grouped in multiplication does not change the product. For example, (a x b) x c = a x (b x c).

Front

Provide an example of the associative property of multiplication.

Back

An example is 3 x (2 x 7) = (3 x 2) x 7.

Front

What is the commutative property of multiplication?

Back

The commutative property of multiplication states that changing the order of the factors does not change the product. For example, a x b = b x a.

Front

Provide an example of the commutative property of multiplication.

Back

An example is if 4 x 6 = 24, then 6 x 4 = 24.

Front

What is a fact family in multiplication and division?

Back

A fact family is a set of related addition and subtraction or multiplication and division equations that use the same numbers.

Front

Complete the fact family: 2 x 6 = 12, 6 x 2 = 12, 12 ÷ 2 = 6, 12 ÷ 6 = ?

Back

12 ÷ 6 = 2.

Front

What is the identity property of multiplication?

Back

The identity property of multiplication states that any number multiplied by 1 remains unchanged. For example, a x 1 = a.

Front

What is the zero property of multiplication?

Back

The zero property of multiplication states that any number multiplied by 0 equals 0. For example, a x 0 = 0.

Front

How does the associative property apply to three numbers?

Back

For three numbers a, b, and c, the associative property allows you to group them in any way: (a x b) x c = a x (b x c).

Front

What is the difference between the associative and commutative properties?

Back

The associative property deals with grouping of numbers, while the commutative property deals with the order of numbers.