Math Properties

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped in addition or multiplication does not change their sum or product. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

What is the Commutative Property?

Back

The Commutative Property states that the order of numbers does not change their sum or product. For example, 3 + 5 = 5 + 3 and 4 × 6 = 6 × 4.

Front

What is the Distributive Property?

Back

The Distributive Property states that a number multiplied by a sum is the same as multiplying each addend by the number and then adding the products. For example, 2 × (3 + 4) = 2 × 3 + 2 × 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, 5 + 0 = 5.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that multiplying any number by one does not change the number. For example, 7 × 1 = 7.

Front

What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that a number plus its opposite equals zero. For example, 5 + (-5) = 0.

Front

What is the Inverse Property of Multiplication?

Back

The Inverse Property of Multiplication states that a number multiplied by its reciprocal equals one. For example, 4 × (1/4) = 1.

Front

Are 2 • (3 • 7) and (2 • 3) • 7 equivalent?

Back

Yes, because of the associative property.

Front

Are (-2 + 3) + 6 and -2 + (3 + 6) equivalent?

Back

Yes, because of the associative property.

Front

Are 6 + 3 and 3 + 6 equivalent?

Back

Yes, because of the commutative property.