Properties of Addition and Multiplication

Front

What is the identity property of addition?

Back

The identity property of addition states that any number plus zero equals the other number.

Front

What is the associative property of addition?

Back

The associative property of addition states that the way numbers are grouped does not change their sum. For example, (a + b) + c = a + (b + c).

Front

What is the commutative property of addition?

Back

The commutative property of addition states that the order of numbers does not change their sum. For example, a + b = b + a.

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.

Front

Rewrite 3(4 + 2) using the distributive property.

Back

3(4 + 2) = 3 x 4 + 3 x 2 = 12 + 6.

Front

What is the identity property of multiplication?

Back

The identity property of multiplication states that any number multiplied by one equals the other number.

Front

What is the associative property of multiplication?

Back

The associative property of multiplication states that the way numbers are grouped does not change their product. For example, (a x b) x c = a x (b x c).

Front

What is the commutative property of multiplication?

Back

The commutative property of multiplication states that the order of numbers does not change their product. For example, a x b = b x a.

Front

Calculate 4 x (3 x 2) using the associative property.

Back

4 x (3 x 2) = (4 x 3) x 2 = 12 x 2 = 24.

Front

What is the result of 5 + (2 + 3) using the associative property?

Back

5 + (2 + 3) = (5 + 2) + 3 = 7 + 3 = 10.