Order of Operations with Exponents

Front

What is the Order of Operations?

Back

The Order of Operations is a set of rules that determines the sequence in which calculations are performed in a mathematical expression. The order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered by the acronym PEMDAS.

Front

What does the term 'exponent' mean?

Back

An exponent is a number that shows how many times a base number is multiplied by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself 3 times: 2 x 2 x 2 = 8.

Front

Evaluate: 3 + 4 x 2

Back

3 + 4 x 2 = 3 + 8 = 11 (Multiplication is done before addition).

Front

Evaluate: (5 - 2) x 3

Back

(5 - 2) x 3 = 3 x 3 = 9 (Parentheses are calculated first).

Front

True or False? 4 + 2 x 3 = 10

Back

False. 4 + 2 x 3 = 4 + 6 = 10.

Front

What is the result of 2^4?

Back

2^4 = 2 x 2 x 2 x 2 = 16.

Front

Evaluate: 8 ÷ 2 + 3 x 4

Back

8 ÷ 2 + 3 x 4 = 4 + 12 = 16 (Division and multiplication are done before addition).

Front

What is the first step in the Order of Operations?

Back

The first step is to solve expressions inside Parentheses.

Front

Evaluate: 6 + (2 x 3) - 4

Back

6 + (2 x 3) - 4 = 6 + 6 - 4 = 8.

Front

True or False? 5 + 3 x (2 + 1) = 14

Back

True. 5 + 3 x (2 + 1) = 5 + 3 x 3 = 5 + 9 = 14.