Properties of Addition and Multiplication

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

What does the Associative Property of Addition state?

Back

The Associative Property of Addition states that the way numbers are grouped in addition does not change their sum. For example, (a + b) + c = a + (b + c).

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

What is the Multiplication Property of Zero?

Back

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

Front

What does the Associative Property of Multiplication state?

Back

The Associative Property of Multiplication states that the way numbers are grouped in multiplication does not change their product. For example, (a x b) x c = a x (b x c).

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.

Front

Provide an example of the Distributive Property.

Back

Example: 3(4 + 5) = 3*4 + 3*5, which simplifies to 12 + 15 = 27.

Front

What is the result of (6 x 4) + (6 x 11)?

Back

The result is 6 x (4 + 11) = 6 x 15 = 90, demonstrating the Distributive Property.

Front

What is the result of (9 x 8) x 15?

Back

The result is 9 x (8 x 15), demonstrating the Associative Property of Multiplication.

Front

What is the result of 17 x 33?

Back

The result is 33 x 17, demonstrating the Commutative Property of Multiplication.