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How do calculators follow BODMAS?

General knowledge Asked by Anonymous from Dallas, United States 23 Oct 2026, 11:18 PM IST Updated

In one line

Calculators use the BODMAS rule to decide which operation to do first in a calculation.

The rule

BODMAS tells us the order to solve maths problems: Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction.

Let's understand it simply

Imagine you are making a sandwich. You must put the bread first, then butter, then the filling. If you mix up the order, the sandwich will be a mess! In maths, BODMAS is like a recipe. It tells you the order to do things so you get the right answer. Calculators are made to follow this order, just like you follow the sandwich steps.

Without BODMAS vs With BODMAS
ExpressionWithout BODMASWith BODMAS
2 + 3 × 4(2 + 3) × 4 = 202 + (3 × 4) = 14
(5 + 2) × 35 + (2 × 3) = 11(5 + 2) × 3 = 21

How it works

  1. The calculator checks for Brackets first and solves what is inside.
  2. Next, it looks for Orders (like squares or square roots) and solves them.
  3. Then, it does Division and Multiplication from left to right.
  4. Last, it does Addition and Subtraction from left to right.
  5. The calculator goes step by step, so the answer is always correct if you enter the expression properly.
How calculators follow BODMAS
  1. Solve inside brackets first
  2. Do powers/roots (orders) next
  3. Do division and multiplication left to right
  4. Do addition and subtraction left to right

The story behind it

The BODMAS rule was made to avoid confusion when solving maths problems with many operations. Before this rule, people would get different answers for the same problem! The rule became common in schools and calculators so everyone could agree on one correct answer.

Where you see it in real life

  • Mobile calculator app → When you type 2 + 3 × 4, it gives 14, not 20, because it does multiplication first.
  • Shopping bill → If you buy 2 packs at ₹50 each and pay 10% GST, you calculate 2 × 50 + (2 × 50 × 0.10).
  • Cooking recipe → If you need to double a recipe and then add 3 more spoons, you multiply first, then add.
  • Cricket score → If a batsman scores (4 × 6) + (2 × 4), you multiply first, then add.

Why it matters

  • It gives the same answer to everyone, everywhere.
  • It helps avoid mistakes in exams and daily life.
  • It is used in computer programs, apps, and machines.
  • Higher maths, science, and accounts all use this rule.

Common mistakes

  • Doing addition before multiplication. Remember, multiplication comes first!
  • Ignoring brackets. Always solve inside brackets first.
  • Forgetting left-to-right order for division and multiplication.

Remember it

Think: "Big Orange Ducks Make A Splash" (Brackets, Orders, Division, Multiplication, Addition, Subtraction).

Check yourself

If you type 2 + 3 × 4 into a calculator, what answer do you get and why?

14, because multiplication is done before addition.

Why do calculators solve brackets first?

Brackets show what to solve first, so calculators follow them to avoid mistakes.

What happens if you ignore BODMAS in a calculation?

You may get the wrong answer because the order of operations is mixed up.

Quick recap

  • BODMAS is the order for solving maths problems.
  • Calculators follow BODMAS to give correct answers.
  • Brackets and Orders come before other operations.
  • Multiplication and Division are done before Addition and Subtraction.
  • Always enter expressions in the right order for correct results.
Written by the LLOS.ai tutor. Asked by Anonymous from Dallas, United States on 23 Oct 2026, 11:18 PM IST