Properties

Front

What is the Associative Property of Addition?

Back

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

Front

Give an example of the Associative Property of Addition.

Back

(12 + 8) + 3 = 12 + (8 + 3).

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

Give an example of the Distributive Property.

Back

3(10 + 4) = 3*10 + 3*4 = 30 + 12.

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

Give an example of the Commutative Property of Addition.

Back

25 + x = x + 25.

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 Associative Property of Multiplication?

Back

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

Front

Give an example of the Associative Property of Multiplication.

Back

(2 × 3) × 4 = 2 × (3 × 4).

Front

What is the Identity Property of Addition?

Back

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