Scientific Notation Calculator
The Scientific Notation Calculator converts numbers between standard and scientific notation.
Scientific Notation Calculator
What the result means
Scientific notation expresses numbers as a mantissa times a power of 10.
How to use this calculator
- 1Enter a number.
- 2Press Calculate to see it in scientific notation.
The formula
The calculation uses a standard, verifiable formula. Here it is in its simplest form.
N = m × 10^e
where 1 ≤ |m| < 10
What each variable means
| Symbol | Name | Description |
|---|---|---|
| m | Mantissa | The coefficient between 1 and 10. |
| e | Exponent | The power of 10. |
Step-by-step example
Example: 12345
Number:12345
- 1Exponent = floor(log10(12345)) = 4
- 2Mantissa = 12345 / 10^4 = 1.2345
- 3Result = 1.2345 × 10^4
Result
1.2345 × 10^4
What changes the result
- Scientific notation is used for very large or very small numbers.
Edge cases to be aware of
Unusual situations handled correctly
- Zero has no scientific notation representation.
Common mistakes
Avoid these errors
- Incorrect exponent calculation.
Assumptions
- Standard scientific notation rules.
Limitations
- Displays up to 4 decimal places in the mantissa.
Frequently asked questions
What is scientific notation?+
Scientific notation expresses numbers as a mantissa (between 1 and 10) times a power of 10. For example, 1,234,000 = 1.234 × 10^6.