Scientific Notation Calculator
Convert a regular number into scientific (exponential) notation, or convert scientific notation back into a decimal number.
| Form | Value |
|---|---|
| Standard Form | 123,400,000 |
| Scientific Form | 1.234 × 10^8 |
Same value, two representations — the exponent tells you how far the decimal point shifts to get from one to the other.
ƒShow your work
- 1Move the decimal point until only one nonzero digit remains before it: 123,400,000 → 1.234 × 10^8 (moved 8 places left).
About the Scientific Notation Calculator
Scientific notation writes very large or very small numbers as a small coefficient times a power of 10, which is how astronomy, chemistry, and physics keep numbers like the distance to a star or the mass of a molecule readable instead of drowning in zeros. The distance to the sun (about 93,000,000 miles) becomes 9.3 × 10⁷; the mass of a hydrogen atom becomes roughly 1.67 × 10⁻²⁴ grams — same value, far easier to read, compare, and type without miscounting a zero.
This calculator converts in both directions: turning an ordinary number into scientific notation, or turning a coefficient-and-exponent pair back into the full standard number — useful for a chemistry or physics student translating between the two forms, or anyone double-checking a calculator or spreadsheet result that's displaying in scientific notation.
How it’s calculated
Converting to scientific notation means rewriting the number as a × 10^b, where a (the coefficient) is between 1 and 10, and b (the exponent) is however many places the decimal point had to move to get there. 123,400,000 becomes 1.234 × 10⁸ — the decimal point moved 8 places to the left to land right after the first nonzero digit.
Converting back from scientific notation reverses that: a × 10^b means shift the decimal point in a by b places — right if b is positive, left if b is negative. 5.2 × 10⁻³ means shifting the decimal 3 places left, giving 0.0052.
The exponent's sign tells you immediately whether the original number was large or small: a positive exponent means the number is 10 or bigger, a negative exponent means it's smaller than 1.
Frequently asked questions
Why use scientific notation instead of writing the full number?
It keeps very large or very small numbers compact and far easier to read accurately — miscounting a zero in 0.0000000000523 is easy, but 5.23 × 10⁻¹¹ leaves no room for that kind of error, and it also makes comparing the relative size of two numbers much faster.
How do you add two numbers in scientific notation?
First convert them to the same power of 10 (adjusting the coefficient as you shift the exponent), then add the coefficients and keep the shared exponent. 3×10⁵ + 2×10⁴ becomes 3×10⁵ + 0.2×10⁵ = 3.2×10⁵, since the exponents have to match before the coefficients can be combined directly.
What's the difference between scientific and engineering notation?
Scientific notation requires the coefficient to be between 1 and 10. Engineering notation instead requires the exponent to be a multiple of 3, so the coefficient can range up to 1,000 — this keeps the exponent aligned with common unit prefixes like kilo (10³), mega (10⁶), and milli (10⁻³).
How do I convert scientific notation back to a normal number?
Take the coefficient and shift its decimal point by the number of places shown in the exponent — right for a positive exponent, left for a negative one. 6.02 × 10²³ shifts the decimal 23 places right, producing the full standard number (Avogadro's number, in this case).
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