Order of Operations Calculator (PEMDAS)

Evaluate math expressions with the correct order of operations (PEMDAS): parentheses, exponents, multiplication and division, then addition and subtraction.

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Direct answer

What does this calculator estimate?

2 + 3 x 4 = 14 because multiplication happens before addition. The tool evaluates expressions following PEMDAS: parentheses, exponents, multiplication/division left to right, then addition/subtraction.

  • PEMDAS order: parentheses, exponents, multiplication/division, addition/subtraction (Wikipedia).
  • Multiplication and division share priority, evaluated left to right.
  • 2 + 3 x 4 is 14, not 20.

Why order of operations matters

Math expressions are ambiguous without a fixed evaluation order — that's what PEMDAS defines. The same expression evaluated differently gives different answers (2 + 3 × 4 is 14, not 20). The calculator applies standard precedence.

Limitations to watch for

Multiplication and division share precedence, evaluated left to right — same for addition/subtraction. Implicit multiplication (2(3+4)) may parse differently across tools. Enter parentheses explicitly to remove ambiguity.

How to use it in practice

Type the expression with explicit parentheses for clarity. Use it to check homework, formulas, and spreadsheet logic. When sharing formulas, write them unambiguously — calculators and code both follow PEMDAS.

['Enter an expression.', 'The tool evaluates with standard precedence.', 'Check your own manual math against it.']

Transparent methodology

How this calculator works

Reviewed 2026-08-25 · BoringToolsKit Editorial Team

Formula

Evaluates expressions following PEMDAS: parentheses, exponents, multiplication/division (left to right), addition/subtraction (left to right).

Worked example

2 + 3 × 4 = 14 — multiplication happens before addition.

Assumptions to verify

  • Standard PEMDAS precedence applies.
  • Multiplication/division and addition/subtraction are left-to-right.
  • Parentheses are explicit where intended.

Frequently asked questions

What is PEMDAS?

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction — the order math expressions are evaluated.

Why is 2 + 3 × 4 equal to 14?

Multiplication runs before addition: 3 × 4 = 12, then + 2 = 14.

Do multiplication and division share precedence?

Yes — left to right, same for addition and subtraction.

What about implicit multiplication?

2(3+4) is ambiguous — write 2 × (3+4) to be clear.

How do I get 20 from 2 + 3 × 4?

Add parentheses: (2 + 3) × 4 = 20.

Does it handle exponents?

Yes — the tool supports standard operators including exponents.

Why does it matter in code?

Programming languages follow the same precedence rules — knowing them prevents logic bugs.

Cite this tool

BoringToolsKit. “Order of Operations Calculator (PEMDAS).” boringtoolskit.com/order-of-operations-calculator/ (reviewed 2026-08-25). Free to reference in articles, syllabi, and answer posts with a link.

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