Scientific Notation Calculator
Use this scientific notation calculator to convert ordinary decimal numbers into scientific notation and convert scientific notation back to standard decimal form.
How to Use the Scientific Notation Calculator
Use the first input to convert a decimal number into scientific notation, or enter a coefficient and exponent to convert scientific notation back to standard form.
Practical Example
1,250,000 becomes 1.25 × 10^6. Likewise, 4.2 × 10^-3 becomes 0.0042.
Factors That Affect the Result
Very large or very small values can be limited by browser numeric precision. Normalized scientific notation usually keeps the coefficient between 1 and 10 in absolute value.
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Frequently Asked Questions
What does a negative exponent mean?
It represents a value smaller than one.
Can scientific notation represent negative numbers?
Yes. The coefficient may be negative.
Is zero written uniquely in scientific notation?
No. Zero does not have a unique normalized scientific-notation form.
How Scientific Notation Represents Numbers
Scientific notation writes a number as a coefficient multiplied by a power of ten, usually in the form a × 10ⁿ where the absolute value of a is at least 1 and less than 10. For example, 45,000 becomes 4.5 × 10⁴, while 0.0032 becomes 3.2 × 10⁻³.
Why It Is Useful
The format makes extremely large and small values easier to read, compare, and use in calculations. Positive exponents move the decimal point to the right when converting back to standard notation; negative exponents move it to the left. Scientific notation is common in science, engineering, computing, and measurements where many zeros would otherwise obscure significant digits.
When rounding, preserve the number of significant figures required by the problem. Calculator notation such as 4.5e4 is another common way to represent 4.5 × 10⁴.