Properties of Operations

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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.

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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, (2 + 3) + 4 = 2 + (3 + 4).

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 by distributing the multiplication.

Front

What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number a, there is a number -a such that a + (-a) = 0.

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Back

21

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Back

Front

Simplify: v + v + 5 - 2

Back

2v + 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 × 6 = 6 × 4.

Front

What is the Associative Property of Multiplication?

Back

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

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What is the Identity Property of Addition?

Back

The Identity Property of Addition states that the sum of any number and zero is that number. For example, a + 0 = a.