Scientific Notation Calculator — How to Convert Scientific Notation
Convert decimals ↔ a×10^b scientific notation. Example: 12300 → 1.23×10^4. Accepts 1.23e4 and 1.23×10^4 when expanding. Shows coefficient and exponent. Browser learning tool for coursework.
How it works
Pick a direction. For decimal→scientific, enter an ordinary number. For scientific→decimal, paste forms like 1.23e4 or 1.23×10^4. The tool shows the converted string plus coefficient and exponent when useful.
Conversion rules
Write x = a × 10^b with normalized a:
- Move the decimal until 1 ≤ |a| < 10 (zero stays 0×10^0).
- b is how many places the point moved (sign follows the move).
- Accepted scientific inputs: 1.23e4, 1.23E+4, 1.23×10^4, 1.23*10^4.
- Display prefers a readable a×10^b string; coefficient/exponent fields echo parts.
Example
Example: 12300 → 1.23×10^4 (a = 1.23, b = 4).
When to use it
- Homework: rewrite large/small decimals in scientific form.
- Expand a×10^b back to an ordinary decimal.
- Check calculator e-notation against ×10^b writing.
Frequently asked questions
What range must a have?
Normalized scientific form keeps 1 ≤ |a| < 10 (except zero).
Which scientific spellings are accepted?
1.23e4, 1.23E+4, 1.23×10^4, and 1.23*10^4.
What about negative numbers?
The sign stays on a; the exponent still tracks decimal moves.
Is precision unlimited?
No — this is ordinary JavaScript number conversion for learning.
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Questions or feedback
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