Properties of Operations

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What is the Associative Property of Addition?

Back

The Associative Property of Addition states that when adding three or more numbers, the way in which the numbers are grouped does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that when multiplying three or more numbers, the way in which the numbers are grouped does not change the product. For example, (2 x 3) x 4 = 2 x (3 x 4).

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 + 5 = 5 + 3.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, 4 x 6 = 6 x 4.

Front

What is the Distributive Property?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the individual products. For example, a(b + c) = ab + ac.

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What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number, there is an opposite number that, when added together, equals zero. For example, 5 + (-5) = 0.

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What is the Inverse Property of Multiplication?

Back

The Inverse Property of Multiplication states that for every number, there is a reciprocal that, when multiplied together, equals one. For example, 4 x (1/4) = 1.

Front

What is an example of the Associative Property of Addition?

Back

An example is (1 + 2) + 3 = 1 + (2 + 3).

Front

What is an example of the Associative Property of Multiplication?

Back

An example is (2 x 3) x 4 = 2 x (3 x 4).

Front

What is an example of the Commutative Property of Addition?

Back

An example is 7 + 2 = 2 + 7.