7th Grade Milestone Review - 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).

Tags

CCSS.1.OA.B.3

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What is the Additive Inverse Property?

Back

The Additive Inverse Property states that for any number 'a', there exists a number '-a' such that a + (-a) = 0. For example, 5 + (-5) = 0.

Tags

CCSS.7.NS.A.1B

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, (6 * 2) * 3 = 6 * (2 * 3).

Tags

CCSS.3.OA.B.5

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, 6 * 7 = 7 * 6.

Tags

CCSS.3.OA.B.5

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 over each addend.

Tags

CCSS.3.OA.B.5

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What is the Multiplicative Identity Property?

Back

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

Tags

CCSS.3.OA.B.5

Front

What is the Multiplicative Inverse Property?

Back

The Multiplicative Inverse Property states that for any non-zero number 'a', there exists a number '1/a' such that a * (1/a) = 1.

Tags

CCSS.7.NS.A.1B

Front

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, 2 + 3 = 3 + 2.

Tags

CCSS.1.OA.B.3

Front

What is an example of the Associative Property of Addition?

Back

An example is (4 + 5) + 6 = 4 + (5 + 6). Both expressions equal 15.

Tags

CCSS.1.OA.B.3

Front

What is an example of the Distributive Property?

Back

An example is 3(4 + 5) = 3*4 + 3*5, which simplifies to 12 + 15 = 27.

Tags

CCSS.3.OA.B.5