Properties of Operations

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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 by distributing the multiplication over each addend.

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What is the Identity Property of Addition?

Back

The Identity Property of Addition states that when you add zero to any number, the result is that number. For example, 5 + 0 = 5.

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What is the Multiplicative Property of Zero?

Back

The Multiplicative Property of Zero states that any number multiplied by zero equals zero. For example, 7 x 0 = 0.

Front

What is the Associative Property of Multiplication?

Back

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

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by one equals that number. For example, 12 x 1 = 12.

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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 Associative Property of Addition?

Back

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

Front

What is an example of the Distributive Property?

Back

An example of the Distributive Property is 3(4 + 5) = 3*4 + 3*5, which simplifies to 12 + 15 = 27.

Front

What does it mean to 'distribute' in mathematics?

Back

To 'distribute' means to multiply a single term by each term inside a set of parentheses.