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 PEMDAS stand for?

Back

PEMDAS stands for: P - Parentheses, E - Exponents, MD - Multiplication and Division (from left to right), AS - Addition and Subtraction (from left to right).

Front

What is an exponent?

Back

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

Front

Calculate: 3^3

Back

3^3 = 3 x 3 x 3 = 27.

Front

What is the value of 2^4?

Back

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

Front

What is the first step in solving the expression: 5 + (3 x 2)?

Back

The first step is to solve the expression inside the parentheses: 3 x 2 = 6.

Front

Solve: 6 + 2^3 - 4

Back

6 + 2^3 - 4 = 6 + 8 - 4 = 10.

Front

What is the result of: (8 - 3) x 2 + 4?

Back

(8 - 3) x 2 + 4 = 5 x 2 + 4 = 10 + 4 = 14.

Front

Identify the error: 4 + 2 x 3 = 18

Back

The error is in the order of operations. Multiplication should be done before addition: 2 x 3 = 6, then 4 + 6 = 10.

Front

What is the value of: 10 - (2 + 3) x 2?

Back

10 - (2 + 3) x 2 = 10 - 5 x 2 = 10 - 10 = 0.