Properties of Math

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by 1 remains unchanged. For example, 9 x 1 = 9.

Front

What is the Associative Property?

Back

The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product. For example, (5 x 10) x 2 = 5 x (10 x 2).

Front

What is the Commutative Property?

Back

The Commutative Property states that the order in which two numbers are added or multiplied does not change their sum or product. For example, 44 + 99 = 99 + 44.

Front

What does the Identity Property of Addition state?

Back

The Identity Property of Addition states that any number plus 0 remains unchanged. For example, 7 + 0 = 7.

Front

Can you give an example of the Associative Property of Addition?

Back

Yes, an example is: 2 + (3 + 4) = (2 + 3) + 4.

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What is the difference between the Identity Property and the Commutative Property?

Back

The Identity Property refers to the unchanged result when using 1 in multiplication or 0 in addition, while the Commutative Property refers to the ability to change the order of numbers in addition or multiplication without changing the result.

Front

What is an example of the Identity Property of Multiplication?

Back

An example is: 6 x 1 = 6.

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What is the Associative Property of Multiplication?

Back

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

Front

How does the Commutative Property apply to multiplication?

Back

The Commutative Property applies to multiplication by stating that changing the order of the factors does not change the product. For example, 3 x 5 = 5 x 3.

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What is the significance of the number 1 in the Identity Property of Multiplication?

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The number 1 is significant in the Identity Property of Multiplication because it is the multiplicative identity; multiplying any number by 1 leaves the number unchanged.