Scientific Notation Calculator

How to use this calculator

Type any number into the box. You can enter it in standard form, like 0.00042 or 93000000, or already in scientific notation using "e", like 6.02e23. Press Convert and the tool shows both forms: the scientific-notation version with its power of ten, and the fully written-out standard number. It handles very large and very small values cleanly, which is exactly where scientific notation earns its keep — writing out fifteen zeros by hand is where mistakes creep in.

The idea explained

Scientific notation writes a number as a coefficient times a power of ten:

number = m × 10ⁿ, where 1 ≤ |m| < 10

The coefficient m always has exactly one non-zero digit before the decimal point. The exponent n records how many places the decimal point moved: positive for large numbers, negative for small ones. To convert back, you shift the decimal point n places — right for a positive exponent, left for a negative one. This keeps huge and tiny numbers compact and easy to compare at a glance.

A worked example

The number 0.00042 becomes 4.2 × 10⁻⁴: the decimal point moves four places to the right to put a single non-zero digit in front, so the exponent is −4. Going the other way, 6.02 × 10²³ expands to 602 followed by 21 more digits — far easier to write in scientific notation than in full.

Frequently asked questions

What is scientific notation?

Writing a number as a value between 1 and 10 times a power of ten.

How do you convert to it?

Move the decimal so one non-zero digit is in front; the places moved become the power of ten.

What is standard form?

Another name for scientific notation, common in British maths.