Simplifying Expressions

Question 1

What are the Two Properties of Multiplication?

Answer 1

The two properties of multiplication are the Commutative Property and the Associative Property.

Question 2

What is the Commutative Property?

Answer 2

With the Commutative Property, you can add numbers in any order and multiply numbers in any order. ab = ba.

Question 3

What is the Associative Property?

Answer 3

With the Associative Property, when you are only adding or multiplying, you can group any of the numbers together. (ab)c = a(bc).

Question 4

What is the Distributive Property?

Answer 4

a(b + c) = a(b) + a(c).

Question 5

What are Terms?

Answer 5

The terms of an expression are the parts that are added together.

Question 6

What are Like terms?

Answer 6

Like terms are terms that contain the same variables raised to the same powers.

Question 7

What is the Order Of Operations?

Answer 7

Parentheses -> Exponents -> Multiplication/Division -> Addition/Subtraction.

Question 8

What can the Associative Property not do?

Answer 8

The Associative Property cannot be extended to addition and subtraction in all cases. For example, (3x+10x)-6 does not equal 3x+(10x-6).