Scientific Notation Calculator
Convert a decimal number into scientific notation: coefficient × 10^exponent.
Scientific Notation Calculator
| Scientific notation | 4.2 × 10^5 |
| Coefficient | 4.200000 |
| Exponent | 5 |
420,000 = 4.2 × 10^5: move the decimal point 5 places left to get a coefficient of 4.2, and those 5 moves become the exponent.
Scientific notation writes very large and very small numbers compactly as a coefficient between 1 and 10 multiplied by a power of ten: 420,000 becomes 4.2 × 10^5, and 0.00056 becomes 5.6 × 10^−4.
Enter any decimal number. The calculator splits it into its coefficient (also called the mantissa), its exponent, and the full written form, so you can copy it into homework, lab reports or code.
The formula
Worked example
420,000 = 4.2 × 10^5: move the decimal point 5 places left to get a coefficient of 4.2, and those 5 moves become the exponent.
The example is pre-loaded in the result panel — press Calculate with your own numbers to replace it.
Frequently asked questions
How do I convert back from scientific notation?
Move the decimal point in the coefficient by the exponent: right for a positive exponent, left for a negative one. 5.6 × 10^−4 means moving 4 places left: 0.00056.
Is 42 × 10^4 valid scientific notation?
It equals the right number, but by convention the coefficient must be at least 1 and less than 10, so the standard form is 4.2 × 10^5. Following the convention lets you compare magnitudes at a glance from the exponent alone.
Where is scientific notation used?
Anywhere numbers span huge ranges: distances in astronomy (the Sun is about 1.5 × 10^8 km away), masses of particles, and computer floating-point formats, which are essentially binary scientific notation.
Category: Math calculators
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