Math Properties

Front

What is the Commutative Property?

Back

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

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped does not change their sum or product. For example, (2 + 3) + 4 = 2 + (3 + 4) and (1 × 2) × 3 = 1 × (2 × 3).

Front

What is the Identity Property?

Back

The Identity Property states that adding zero to a number does not change the number, and multiplying a number by one does not change the number. For example, 5 + 0 = 5 and 7 × 1 = 7.

Front

What is the Inverse Property?

Back

The Inverse Property states that for every number, there is another number that, when added or multiplied together, results in the identity element. For example, 5 + (-5) = 0 and 4 × (1/4) = 1.

Front

What is the Distributive Property?

Back

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

Front

Are 6 + 3 and 3 + 6 equivalent?

Back

Yes, because of the commutative property.

Front

Are 40 ÷ 10 and 10 ÷ 40 equivalent?

Back

No, these two expressions are not equivalent.

Front

What property is shown in 2 + (7 - 5) = 2 + 2?

Back

Substitution.

Front

Are 18 • 1 and 18 equivalent?

Back

Yes, because of the identity property.

Front

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

Back

Yes, because of the associative property.