Math Properties

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What is the Commutative Property?

Back

The Commutative Property states that the order in which two numbers are added or multiplied does not change the sum or product. For example, 3 + 5 = 5 + 3.

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What is the Identity Property of 0?

Back

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

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What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped in addition or multiplication does not change their sum or product. For example, (2 + 3) + 4 = 2 + (3 + 4).

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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.

Front

Give an example of the Commutative Property of Addition.

Back

An example is: 4 + 6 = 6 + 4.

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Give an example of the Identity Property of 0.

Back

An example is: 0 + 9 = 9.

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Give an example of the Associative Property of Addition.

Back

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

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Give an example of the Distributive Property.

Back

An example is: 3(4 + 5) = 3*4 + 3*5.

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What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that the order of factors does not change the product. For example, 2 * 3 = 3 * 2.

Front

What is the Identity Property of Multiplication?

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The Identity Property of Multiplication states that any number multiplied by 1 remains unchanged. For example, 7 * 1 = 7.