Properties of numbers

Front

What is the Zero Property of Multiplication?

Back

The Zero Property of Multiplication states that any number multiplied by zero equals zero. For example, 5 x 0 = 0.

Front

What does the Commutative Property of Multiplication state?

Back

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, 3 x 4 = 4 x 3.

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that changing the grouping of the factors does not change the product. For example, (2 x 3) x 4 = 2 x (3 x 4).

Front

What is the Distributive Property?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the products. For example, a(b + c) = ab + ac.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by one equals the number itself. For example, 7 x 1 = 7.

Front

If 0 x 76 = 0, what property is being demonstrated?

Back

This demonstrates the Zero Property of Multiplication.

Front

If 84 x 48 = 48 x 84, what property is being demonstrated?

Back

This demonstrates the Commutative Property of Multiplication.

Front

If (5 x 9) + (5 x 4) = 5 x (9 + 4), what property is being demonstrated?

Back

This demonstrates the Distributive Property.

Front

What happens when you change the grouping in multiplication?

Back

Changing the grouping of the factors does not change the product, demonstrating the Associative Property.

Front

What is an example of the Identity Property of Multiplication?

Back

An example is 9 x 1 = 9.