Basic Math

Fundamental mathematical operations and concepts for everyday use.

Advanced Topics

Order of Operations

Solving Problems the Right Way

When a math problem has more than one operation, you need to know which to do first! That’s where the order of operations comes in.

The Order

Remember PEMDAS:

  • Parentheses first
  • Exponents (not common in basic math)
  • Multiplication and Division (left to right)
  • Addition and Subtraction (left to right)

So, for \( 2 + 3 \times 4 \), multiply first: \( 3 \times 4 = 12 \), then add 2: \( 2 + 12 = 14 \).

Why It Matters

The order keeps math fair and answers correct, whether you’re programming a robot or just splitting a bill!

Examples

  • Solving \( 5 + (2 \times 3) = 11 \) by doing the parentheses first.

  • Finding \( (8 - 3) + 2 = 7 \) instead of \( 8 - (3 + 2) = 3 \).

In a Nutshell

Order of operations tells you which math steps to do first.

Key Terms

PEMDAS
A way to remember the order of operations.
Parentheses
Brackets used to group numbers or operations.