Order of Operations

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

Calculate: 5 + 2 × 3

Back

5 + 2 × 3 = 5 + 6 = 11 (Multiplication is done before Addition).

Front

Calculate: (4 + 6) ÷ 2

Back

(4 + 6) ÷ 2 = 10 ÷ 2 = 5 (Parentheses are evaluated first).

Front

What is the result of 8^2 - 22 ÷ 2 × 7?

Back

8^2 - 22 ÷ 2 × 7 = 64 - 11 × 7 = 64 - 77 = -13 (Follow the Order of Operations).

Front

Simplify: (2 + 7 - 1) ÷ 2^2

Back

(2 + 7 - 1) ÷ 2^2 = 8 ÷ 4 = 2 (Evaluate inside parentheses first, then the exponent).

Front

Identify the error: 5 - 3 + 2 = 5 - 5 = 0

Back

The error is that Addition was done first instead of Subtraction. The correct order is to perform Subtraction first.

Front

What is the value of 23 + (30 ÷ 10) × 4?

Back

23 + (30 ÷ 10) × 4 = 23 + 3 × 4 = 23 + 12 = 35 (Division first, then Multiplication, then Addition).

Front

What is the first step in solving 6 + 2 × (3 - 1)?

Back

The first step is to evaluate the expression inside the parentheses: 3 - 1 = 2.

Front

Calculate: 10 - 2 × 5 + 3

Back

10 - 2 × 5 + 3 = 10 - 10 + 3 = 0 + 3 = 3 (Multiplication first, then Addition and Subtraction from left to right).