Scientific Notation Calculator

What This Calculator Does

Scientific notation is a compact way to write very big or very small numbers without counting long strings of zeros. You write the number as a single digit (and a decimal) times a power of 10. That power of 10 just slides the decimal point - positive powers make the number bigger, negative powers make it smaller.

For example, 4,500 becomes $4.5 \times 10^3$ (move the point 3 places), and 0.0072 becomes $7.2 \times 10^{-3}$. It is how scientists keep numbers like the distance to the sun readable.

How Scientific Notation Works

$$c \times 10^n, \quad 1 \le |c| < 10$$

To get the plain number, multiply the coefficient $c$ by 10 raised to the exponent $n$.

A positive exponent means a large number; a negative exponent means a small one.

How to Use It

1. Choose a direction: number to scientific notation or scientific notation to number.
2. Enter the value(s).
3. Read the result and the steps.

Worked Examples

Number	Scientific notation
12345	1.2345 × 10^4
6500000	6.5 × 10^6
0.0042	4.2 × 10^-3
1	1 × 10^0

FAQ

How do you write a number in scientific notation?

Move the decimal point so one non-zero digit is in front, then count how many places you moved it — that count is the exponent. 12345 becomes $1.2345 \times 10^4$.

What does a negative exponent mean?

It means a number smaller than 1. $0.0042 = 4.2 \times 10^{-3}$.

How do you turn scientific notation back into a number?

Multiply the coefficient by 10 to the power of the exponent. $6.5 \times 10^6 = 6{,}500{,}000$.