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 'exponent' mean in mathematics?

Back

An exponent is a number that shows how many times a base is multiplied by itself. For example, in 2^3 (2 raised to the power of 3), 2 is the base and 3 is the exponent, meaning 2 x 2 x 2.

Front

Calculate: 3 + 4 x 2

Back

11 (According to the Order of Operations, multiplication is done before addition.)

Front

Calculate: (5 + 3) x 2

Back

16 (First, solve the parentheses, then multiply.)

Front

What is the value of 2^4?

Back

16 (2 multiplied by itself 4 times: 2 x 2 x 2 x 2 = 16.)

Front

Calculate: 10 - 2^2 + 3

Back

9 (First, calculate the exponent: 2^2 = 4, then perform the operations from left to right.)

Front

What is the result of 6 ÷ 2(1 + 2)?

Back

9 (First, solve the parentheses: 1 + 2 = 3, then calculate: 6 ÷ 2 x 3 = 3 x 3 = 9.)

Front

Calculate: 8 - (3 + 5) x 2

Back

-6 (First, solve the parentheses: 3 + 5 = 8, then calculate: 8 - 8 x 2 = 8 - 16 = -6.)

Front

What is the value of (4 + 4) ÷ 2?

Back

4 (First, solve the parentheses: 4 + 4 = 8, then divide: 8 ÷ 2 = 4.)

Front

Calculate: 5 + 2^3 - 1

Back

10 (First, calculate the exponent: 2^3 = 8, then perform the operations: 5 + 8 - 1 = 12.