Properties of Numbers

Front

What is the Associative Property?

Back

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

Front

What is the Zero Property of Multiplication?

Back

The Zero Property of Multiplication states that any number multiplied by zero equals zero. For example, 9 x 0 = 0.

Front

What is the Commutative Property?

Back

The Commutative Property states that the order in which two numbers are added or multiplied does not change their sum or product. For example, a + b = b + a.

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, 9 + 0 = 9.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

Provide an example of the Associative Property in addition.

Back

(2 + 3) + 4 = 2 + (3 + 4) = 9.

Front

Provide an example of the Commutative Property in multiplication.

Back

4 x 5 = 5 x 4 = 20.

Front

What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number a, there exists a number -a such that a + (-a) = 0.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by one remains unchanged. For example, 7 x 1 = 7.

Front

What is the Additive Inverse Property?

Back

The Additive Inverse Property states that for every number a, there exists a number -a such that a + (-a) = 0.