Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped in an addition problem does not change the sum. For example, (a + b) + c = a + (b + c).

Tags

CCSS.1.OA.B.3

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Tags

CCSS.6.EE.A.3

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that the order in which two numbers are added does not change the sum. For example, 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 the order in which two numbers are multiplied does not change the product. For example, a × b = b × a.

Tags

CCSS.3.OA.B.5

Front

How does the Associative Property differ from the Commutative Property?

Back

The Associative Property deals with grouping of numbers, while the Commutative Property deals with the order of numbers. Associative: (a + b) + c = a + (b + c); Commutative: a + b = b + a.

Tags

CCSS.1.OA.B.3

Front

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

Back

Yes! For example, if you have 3(4 + 5), using the Distributive Property, you can calculate it as 3 × 4 + 3 × 5 = 12 + 15 = 27.

Tags

CCSS.3.OA.B.5

Front

What is the identity element for addition?

Back

The identity element for addition is 0, because adding 0 to any number does not change the value of that number. For example, a + 0 = a.

Tags

CCSS.1.OA.B.3

Front

What is the identity element for multiplication?

Back

The identity element for multiplication is 1, because multiplying any number by 1 does not change the value of that number. For example, 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

Front

What is the Inverse Property of Multiplication?

Back

The Inverse Property of Multiplication states that for every number a (except 0), there exists a number 1/a such that a × (1/a) = 1.

Tags

CCSS.3.OA.B.5