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What is the Commutative Property?

Back

The Commutative Property states that the order in which two numbers are added or multiplied does not change the result. For example, a + b = b + a and a × b = b × a.

Tags

CCSS.1.OA.B.3

Front

What is the Associative Property?

Back

The Associative Property states that the way in which numbers are grouped when adding or multiplying does not change the result. For example, (a + b) + c = a + (b + c) and (a × b) × c = a × (b × c).

Tags

CCSS.7.NS.A.1D

Front

What is the Identity Property?

Back

The Identity Property states that when you add zero to a number, the result is the number itself (a + 0 = a), and when you multiply a number by one, the result is the number itself (a × 1 = a).

Tags

CCSS.1.OA.B.3

Front

What is the Inverse Property?

Back

The Inverse Property states that for every number, there is an additive inverse (a + (-a) = 0) and a multiplicative inverse (a × (1/a) = 1) that will result in the identity element.

Tags

CCSS.7.NS.A.1B

Front

What is the Property of Zero?

Back

The Property of Zero states that when you multiply any number by zero, the result is zero (a × 0 = 0).

Tags

CCSS.3.OA.B.5

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Tags

CCSS.6.EE.A.3

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What is the Reflexive Property?

Back

The Reflexive Property states that any quantity is equal to itself, expressed as a = a.

Tags

CCSS.7.EE.A.1

Front

What is the Symmetric Property?

Back

The Symmetric Property states that if one quantity equals another, then the second quantity equals the first, expressed as if a = b, then b = a.

Tags

CCSS.7.EE.A.1

Front

What is the Transitive Property?

Back

The Transitive Property states that if one quantity equals a second quantity, and the second quantity equals a third quantity, then the first quantity equals the third, expressed as if a = b and b = c, then a = c.

Tags

CCSS.7.EE.A.1

Front

Example of Commutative Property with addition: 3 + 5 = ?

Back

3 + 5 = 5 + 3 = 8.

Tags

CCSS.1.OA.B.3