Warm Up: Algebraic Properties

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What is the Distributive Property?

Back

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

Tags

CCSS.6.EE.A.3

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, i.e., a + b = b + a.

Tags

CCSS.1.OA.B.3

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, i.e., a × b = b × a.

Tags

CCSS.3.OA.B.5

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped does not change their sum, i.e., (a + b) + c = a + (b + c).

Tags

CCSS.1.OA.B.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 their product, i.e., (a × b) × c = a × (b × c).

Tags

CCSS.3.OA.B.5

Front

How does the Distributive Property apply to subtraction?

Back

The Distributive Property can also apply to subtraction, such that a(b - c) = ab - ac.

Tags

CCSS.6.EE.A.3

Front

Can you give an example of the Distributive Property in action?

Back

For example, 3(4 + 5) = 3×4 + 3×5, which simplifies to 12 + 15 = 27.

Tags

CCSS.3.OA.B.5

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, i.e., a + 0 = a.

Tags

CCSS.1.OA.B.3

Front

What is the identity property of multiplication?

Back

The identity property of multiplication states that multiplying any number by one does not change the number, i.e., a × 1 = a.

Tags

CCSS.3.OA.B.5

Front

What is the inverse property of addition?

Back

The inverse property of addition states that for every number a, there exists a number -a such that a + (-a) = 0.

Tags

CCSS.7.NS.A.1B