Properties of Operations

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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 when adding does not change the sum. For example, (1 + 2) + 3 = 1 + (2 + 3).

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What is the Identity Property of Multiplication?

Back

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

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that any number added to 0 remains unchanged. For example, 100 + 0 = 100.

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 Commutative Property of Addition?

Back

The Commutative Property of Addition states that the order in which two numbers are added does not change the sum. For example, a + b = b + a.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that the order in which two numbers are multiplied does not change the product. For example, ab = ba.

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped when multiplying does not change the product. For example, (ab)c = a(bc).

Front

What is the Multiplicative Identity?

Back

The Multiplicative Identity states that any number multiplied by 1 remains unchanged. For example, u(1) = u.

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What is the Zero Property of Multiplication?

Back

The Zero Property of Multiplication states that any number multiplied by 0 equals 0. For example, 5 x 0 = 0.

Front

What is an example of the Distributive Property?

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An example of the Distributive Property is: 3(4 + 5) = 3*4 + 3*5.