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 'Exponents' mean in mathematics?

Back

Exponents are a way to express repeated multiplication of a number by itself. For example, 3^2 means 3 multiplied by itself, which equals 9.

Front

Calculate: 2 + 3 x 4

Back

14 (First, multiply 3 x 4 = 12, then add 2.)

Front

Calculate: (5 + 3) x 2

Back

16 (First, add 5 + 3 = 8, then multiply by 2.)

Front

What is the result of 4^3?

Back

64 (4^3 means 4 x 4 x 4 = 64.)

Front

True or False? 6 + 2 x 5 = 16

Back

False (The correct answer is 16, but the order of operations gives 6 + 10 = 16.)

Front

Calculate: 10 - 2^2 + 3

Back

9 (First, calculate 2^2 = 4, then 10 - 4 + 3 = 9.)

Front

What is the value of (3 + 5)^2?

Back

64 (First, add 3 + 5 = 8, then square it: 8^2 = 64.)

Front

Calculate: 8 ÷ 2 + 3^2

Back

13 (First, calculate 3^2 = 9, then 8 ÷ 2 = 4, and finally 4 + 9 = 13.)

Front

What is the result of 12 ÷ (2 + 4)?

Back

2 (First, calculate 2 + 4 = 6, then 12 ÷ 6 = 2.)