Why does my calculator give a different answer for 1 + 2 × 3?
· Avinash Kumar
Voice Calculator runs on iPhone. The app is available in English, Japanese, German, French, Spanish, Portuguese and Chinese.
Voice Calculator
Download on the App StoreIt depends on the calculator. A scientific calculator follows the order of operations (PEMDAS), so 1 + 2 × 3 = 7. A basic calculator works through each step as you enter it, so it adds 1 + 2 first and shows 9. Neither is broken; they follow different rules.
Which rule does math class use?
Homework follows the order of operations: parentheses, exponents, multiplication and division (left to right), then addition and subtraction (left to right). So 8 − 2 × 3 = 2, not 18.
The 5-second test
Enter 1 + 2 × 3 = on any calculator.
| Result | What it does |
|---|---|
| 7 | Follows the order of operations |
| 9 | Calculates left to right, step by step |
How to check homework answers without getting caught out
- Run the test above first.
- On a left-to-right calculator, do the multiplications and divisions yourself first, then add the results.
- Read each number back before you press equals. Most wrong “checks” are a typo, not a math mistake.
Checking out loud
I build Voice Calculator. It has both modes: Basic works left to right (1 + 2 × 3 = 9) and Scientific follows the order of operations (1 + 2 × 3 = 7). A student can say the problem aloud and see each number on the tape before the answer appears, then tap Read to hear the whole line back. It checks arithmetic only; it doesn’t show steps or explain the method.
Related: why a voice calculator should show what it heard, calculator help for dyscalculia and the Voice Calculator guides.
Questions people ask
- Is 1 + 2 × 3 equal to 7 or 9?
- By the order of operations (PEMDAS) it's 7: multiply first, then add. A basic calculator that works left to right shows 9.
- How do I know which kind my calculator is?
- Type 1 + 2 × 3 =. If it shows 7 it follows the order of operations; if it shows 9 it calculates each step as you go.
- Does Voice Calculator follow PEMDAS?
- In Scientific mode, yes. Basic mode works left to right, like a desk adding machine.
Voice Calculator
A calculator you talk to: say the numbers, check each one on the tape, hear the total.
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