Mathematical Properties

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, a + b = b + a.

Front

Provide an example of the Commutative Property of Addition.

Back

An example is: 3 + 5 = 5 + 3.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped when adding does not change the sum. For example, (a + b) + c = a + (b + c).

Front

Provide an example of the Associative Property of Addition.

Back

An example is: (2 + 3) + 4 = 2 + (3 + 4).

Front

What is the Additive Identity Property?

Back

The Additive Identity Property states that adding zero to any number does not change the number. For example, a + 0 = a.

Front

Provide an example of the Additive Identity Property.

Back

An example is: 7 + 0 = 7.

Front

What is the Additive Inverse Property?

Back

The Additive Inverse Property states that for every number, there is another number that, when added together, results in zero. For example, a + (-a) = 0.

Front

Provide an example of the Additive Inverse Property.

Back

An example is: 5 + (-5) = 0.

Front

What is the Multiplicative Identity Property?

Back

The Multiplicative Identity Property states that multiplying any number by one does not change the number. For example, a × 1 = a.

Front

Provide an example of the Multiplicative Identity Property.

Back

An example is: 9 × 1 = 9.