Properties

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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, (a + b) + c = a + (b + c) or (a × b) × c = a × (b × c).

Tags

CCSS.7.NS.A.1D

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What is the Commutative Property?

Back

The Commutative Property states that the order of numbers does not affect their sum or product. For example, a + b = b + a or a × b = b × a.

Tags

CCSS.3.OA.B.5

Front

What is the Identity Property?

Back

The Identity Property states that adding zero to a number does not change the number (a + 0 = a) and multiplying a number by one does not change the number (a × 1 = a).

Tags

CCSS.1.OA.B.3

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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.

Tags

CCSS.3.OA.B.5

Front

What does the Associative Property of Addition state?

Back

The Associative Property of Addition 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).

Tags

CCSS.1.OA.B.3

Front

What does the Associative Property of Multiplication state?

Back

The Associative Property of Multiplication states that when multiplying three or more numbers, the way in which the numbers are grouped does not change the product. For example, (2 × 3) × 4 = 2 × (3 × 4).

Tags

CCSS.3.OA.B.5

Front

Provide an example of the Commutative Property of Addition.

Back

An example of the Commutative Property of Addition is: 5 + 7 = 7 + 5.

Tags

CCSS.1.OA.B.3

Front

Provide an example of the Commutative Property of Multiplication.

Back

An example of the Commutative Property of Multiplication is: 6 × 4 = 4 × 6.

Tags

CCSS.3.OA.B.5

Front

What is an example of the Identity Property of Addition?

Back

An example of the Identity Property of Addition is: 9 + 0 = 9.

Tags

CCSS.1.OA.B.3

Front

What is an example of the Identity Property of Multiplication?

Back

An example of the Identity Property of Multiplication is: 7 × 1 = 7.

Tags

CCSS.3.OA.B.5