Scientific notation to decimal converter
Handy for reading textbook numbers such as 6.022 × 10²³ or 1.6 × 10⁻¹⁹ digit by digit without miscounting zeros.
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How to use it
- Enter coefficient a and exponent n.
- The result appears straight away and updates as you edit.
- Copy the result, or copy a link that keeps the same values to share it.
How it is calculated
Number = a × 10ⁿ: shift the decimal point of a by n places, right when n is positive and left when it is negative, adding zeros as needed.
Example
Inputs: Coefficient a = 6.022, Exponent n = 23. Result: Decimal number: 602200000000000000000000.
6.022
602200000000000000000000
Limits and caveats
- The exponent is limited to -500 through 500 so the result stays readable.
- Trailing zeros after the decimal point are dropped from the result.
Questions about this tool
What is 6.022 × 10²³ written out?
It is 602,200,000,000,000,000,000,000, which is 6022 followed by twenty zeros.
What does a negative exponent mean?
The number is below 1, so the decimal point moves left. For example 1.5 × 10⁻³ = 0.0015.
Does the coefficient have to be between 1 and 10?
No. Any coefficient such as 45 × 10² works, and the tool shows the normalized form 4.5 × 10³.