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 acronym PEMDAS helps remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does 'Exponents' mean in mathematics?

Back

Exponents are a way to express repeated multiplication of a number by itself. For example, 2² means 2 multiplied by itself, which equals 4.

Front

Evaluate: 3 + 4 × 2

Back

11 (First, multiply 4 × 2 = 8, then add 3 + 8 = 11).

Front

Evaluate: (5 + 3) × 2

Back

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

Front

What is the result of 2²?

Back

4 (2² means 2 multiplied by itself, which equals 4).

Front

Evaluate: 10 - 2 × 3 + 1

Back

5 (First, multiply 2 × 3 = 6, then do 10 - 6 + 1 = 5).

Front

What is the value of 4² + 3?

Back

19 (4² is 16, then add 3 to get 19).

Front

Evaluate: 8 ÷ 2 + 3 × 2

Back

10 (First, divide 8 ÷ 2 = 4, then multiply 3 × 2 = 6, and finally add 4 + 6 = 10).

Front

What is the result of 6 + 2² × 3?

Back

12 (First, calculate 2² = 4, then multiply 4 × 3 = 12, and finally add 6 + 12 = 18).

Front

Evaluate: (3 + 5)² - 4

Back

60 (First, calculate (3 + 5) = 8, then 8² = 64, and finally 64 - 4 = 60).