Math Properties and Expresssions

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 to each addend.

Front

Simplify the expression: 3(3x + 2)

Back

9x + 6

Front

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).

Front

Give an example of the Commutative Property of Addition.

Back

6 + 4 = 4 + 6

Front

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 sum or product. For example, a + b = b + a.

Front

Simplify the expression: (6^2 + 4) ÷ 10 x 5

Back

20

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. For example, a + 0 = a.

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. For example, a x 1 = a.

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way numbers are grouped in multiplication does not change their product. For example, (a x b) x c = a x (b x c).

Front

What is the difference between the Distributive Property and the Associative Property?

Back

The Distributive Property involves multiplying a single term by a sum, while the Associative Property involves grouping numbers in addition or multiplication.