Properties of Addition

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, 3 + 2 = 2 + 3.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped does not change their sum. For example, (1 + 2) + 3 = 1 + (2 + 3).

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

Give an example of the Commutative Property of Addition.

Back

An example is: 4 + 7 = 7 + 4.

Front

Give an example of the Associative Property of Addition.

Back

An example is: (2 + 3) + 5 = 2 + (3 + 5).

Front

Give an example of the Identity Property of Addition.

Back

An example is: 8 + 0 = 8.

Front

What does it mean to switch the addends?

Back

Switching the addends means changing their order, like in the Commutative Property. For example, changing 5 + 2 to 2 + 5.

Front

What is the sum of 3 + 4 + 2 using the Associative Property?

Back

Using the Associative Property, you can group the numbers: (3 + 4) + 2 = 7 + 2 = 9.

Front

What is the sum of 6 + 0?

Back

The sum is 6, according to the Identity Property of Addition.

Front

Which property is used in the equation 5 + (2 + 3) = (5 + 2) + 3?

Back

This equation uses the Associative Property of Addition.