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 is often used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does 'exponent' mean in mathematics?

Back

An exponent is a number that indicates how many times to multiply the base number by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 x 2 x 2.

Front

Calculate: 2 + 3 x 4

Back

14 (According to the Order of Operations, multiplication is performed before addition.)

Front

Calculate: (5 + 3) x 2

Back

16 (Parentheses are calculated first.)

Front

What is the value of 3^2?

Back

9 (3 raised to the power of 2 is 3 x 3.)

Front

Calculate: 10 - 2^3 + 4

Back

6 (First calculate 2^3 = 8, then 10 - 8 + 4 = 6.)

Front

What is the result of 4 x (2 + 3)^2?

Back

100 (First calculate inside the parentheses: 2 + 3 = 5, then 5^2 = 25, and finally 4 x 25 = 100.)

Front

Calculate: 6 + 2 x (3^2 - 1)

Back

12 (First calculate inside the parentheses: 3^2 = 9, then 9 - 1 = 8, and finally 2 x 8 + 6 = 12.)

Front

What is the value of (12 - 4) x 2^2?

Back

32 (First calculate inside the parentheses: 12 - 4 = 8, then 2^2 = 4, and finally 8 x 4 = 32.)

Front

Calculate: 5 + 3 x 2^2 - 1

Back

16 (First calculate 2^2 = 4, then 3 x 4 = 12, and finally 5 + 12 - 1 = 16.)