Properties of Addition and Multiplication

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What property of addition do the numbers HAVE to stay in the same order, but the numbers and groups can change?

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Associative Property: This property states that when adding three or more numbers, the way in which the numbers are grouped does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

Which property of multiplication is shown below: 1 × 83 = 83?

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Identity Property: This property states that when you multiply any number by 1, the result is that number. For example, 1 × 5 = 5.

Front

What is the result of 2(c - 8)?

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2c - 16: This is an example of the distributive property, where you multiply 2 by both terms inside the parentheses.

Front

Rewrite (9 x 6) x 5 using the associative property.

Back

9 x (6 x 5): The associative property allows us to regroup the numbers being multiplied without changing the product.

Front

Identify the property: 4 + -3 = -3 + 4.

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

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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 Commutative Property of Multiplication?

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The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, 4 × 2 = 2 × 4.

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What is the Associative Property of Addition?

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

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 the product. For example, (2 × 3) × 4 = 2 × (3 × 4).

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding zero to any number does not change the number. For example, 7 + 0 = 7.