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, (a + b) + c = a + (b + c) and (a × b) × c = a × (b × c).

Front

What is the Commutative Property?

Back

The Commutative Property states that the order of numbers does not affect their sum or product. For example, a + b = b + a and a × b = b × a.

Front

What is the Identity Property?

Back

The Identity Property states that adding zero to a number does not change the number (a + 0 = a) and multiplying a number by one does not change the number (a × 1 = a).

Front

What is the Inverse Property?

Back

The Inverse Property states that for every number, there is an opposite number that, when added, results in zero (a + (-a) = 0) and a reciprocal that, when multiplied, results in one (a × (1/a) = 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, a(b + c) = ab + ac.

Front

Give an example of the Associative Property in multiplication.

Back

(2 × 3) × 4 = 2 × (3 × 4) = 24.

Front

Give an example of the Commutative Property in addition.

Back

5 + 7 = 7 + 5 = 12.

Front

What is the result of applying the Identity Property to the number 10 in addition?

Back

10 + 0 = 10.

Front

What is the result of applying the Identity Property to the number 10 in multiplication?

Back

10 × 1 = 10.

Front

Provide an example of the Inverse Property in addition.

Back

8 + (-8) = 0.