Decimal to Scientific Notation Converter

What Is Scientific Notation?

Scientific notation (also called standard form or exponential notation) is a way of writing numbers that are too large or too small to be conveniently written in decimal form. It expresses numbers as a product of a coefficient (or mantissa) and a power of 10. For example, the speed of light (299,792,458 m/s) is written as $2.998 \times 10^8$ m/s, and the charge of an electron (0.0000000000000000001602 C) becomes $1.602 \times 10^{-19}$ C.

The General Form

Where $a$ (the coefficient or mantissa) is a number between 1 and 10 (or -1 and -10 for negative numbers), and $b$ (the exponent) is an integer. The exponent tells you how many places to move the decimal point: positive for large numbers, negative for small numbers.

How to Convert a Decimal to Scientific Notation

1. Move the decimal point so that there is exactly one non-zero digit to the left of it.
2. Count the number of places you moved the decimal point. This becomes the exponent.
3. If you moved the decimal to the left, the exponent is positive. If to the right, the exponent is negative.
4. Round the coefficient to the desired number of significant figures.

Example: Large Number

Convert 299792458 to scientific notation:

1. Move decimal to get one digit before it: 2.99792458
2. Decimal moved 8 places to the left, so exponent = 8
3. With 4 significant figures: $2.998 \times 10^8$

Example: Small Number

Convert 0.0000006022 to scientific notation:

1. Move decimal to get one digit before it: 6.022
2. Decimal moved 7 places to the right, so exponent = -7
3. With 4 significant figures: $6.022 \times 10^{-7}$

Significant Figures

Significant figures (sig figs) indicate the precision of a measurement. When converting to scientific notation, the coefficient should have the same number of significant figures as the original number. For example, 1200 (2 sig figs) becomes $1.2 \times 10^3$, while 1200.0 (5 sig figs) becomes $1.2000 \times 10^3$.

E Notation

In computing and programming, scientific notation is often written using E notation. Instead of $a \times 10^b$, it is written as aEb. For example, $6.022 \times 10^{23}$ becomes 6.022E23, and $1.602 \times 10^{-19}$ becomes 1.602E-19.

How to Use This Converter

1. Enter a decimal number in the input field. You can use commas for readability (e.g., 1,000,000).
2. Choose the number of significant figures (1 to 15).
3. Select your preferred notation format: Standard ($\times 10^n$), E notation, or Plain Number.
4. View the result with the coefficient and exponent shown separately for clarity.

Related Tools

If you found this converter useful, check out our Scientific Notation to Decimal Converter, Decimal to Percent Calculator, and Exponents Calculator.