Order of Operations

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. 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 Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. It is used to remember the order of operations.

Front

Evaluate the expression: 2 + 3 x 4

Back

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

Front

Evaluate the expression: (5 + 3) x 2

Back

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

Front

True or False? 6 + 2 x 3 = 24

Back

False (6 + 2 x 3 = 12, because multiplication comes before addition.)

Front

What is the result of 10 - 2 x (3 + 1)?

Back

6 (First, solve the parentheses: 3 + 1 = 4, then multiply: 2 x 4 = 8, and finally subtract: 10 - 8 = 2.)

Front

Evaluate the expression: 4 x (2 + 3) - 5

Back

15 (First, solve the parentheses: 2 + 3 = 5, then multiply: 4 x 5 = 20, and finally subtract: 20 - 5 = 15.)

Front

What is the first step in solving the expression: 8 + 2 x 5?

Back

The first step is to perform the multiplication: 2 x 5 = 10.

Front

Evaluate the expression: 3^2 + 4^2 - 5

Back

20 (3^2 = 9, 4^2 = 16, so 9 + 16 - 5 = 20.)

Front

What is the result of 12 ÷ 4 + 3 x 2?

Back

9 (First, divide: 12 ÷ 4 = 3, then multiply: 3 x 2 = 6, and finally add: 3 + 6 = 9.)