Number Properties

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 over each addend.

Front

Calculate: 7 × 14 using the Distributive Property.

Back

7 × 14 = 7 × (10 + 4) = 7 × 10 + 7 × 4 = 70 + 28 = 98.

Front

What is the Multiplication Property of One?

Back

The Multiplication Property of One states that the product of any number and one is that number. For example, 5 × 1 = 5.

Front

Identify the property: 23 + (15 + 2) = (23 + 15) + 2.

Back

This illustrates the Associative Property of Addition.

Front

What is the Associative Property?

Back

The Associative Property states that when you add or multiply, you can group the numbers in any way. For example, (a + b) + c = a + (b + c).

Front

Calculate: 6 × 31 using the Distributive Property.

Back

6 × 31 = 6 × (30 + 1) = 6 × 30 + 6 × 1 = 180 + 6 = 186.

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

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 × b = b × a.

Front

What is the Addition Property of Zero?

Back

The Addition Property of Zero states that adding zero to any number does not change the number. For example, a + 0 = a.

Front

What is the Zero Property of Multiplication?

Back

The Zero Property of Multiplication states that the product of any number and zero is zero. For example, a × 0 = 0.