Scientific Notation Calculator

Convert standard decimal numbers or E-notation into perfect scientific notation and engineering notation. This tool is essential for checking chemistry, physics, and engineering homework where significant figures and powers of ten matter.

What is Scientific Notation?

Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. The standard format is:

$a \times 10^b$

Where:

• $a$ (the coefficient) is a real number such that $1 \le |a| < 10$.
• $b$ (the exponent) is an integer.

For example, $4,500$ is written as $4.5 \times 10^3$, and $0.0045$ is written as $4.5 \times 10^{-3}$.

What is Engineering Notation?

Engineering notation is very similar to scientific notation, but the exponent ($b$) is restricted to multiples of 3 (e.g., $10^3, 10^6, 10^{-3}, 10^{-6}$). This aligns perfectly with metric prefixes like kilo, mega, milli, and micro.

For example, $45,000$ in scientific notation is $4.5 \times 10^4$. In engineering notation, it is written as $45 \times 10^3$ (which translates cleanly to "45 kilos").

Frequently Asked Questions

What does "E" mean on my calculator?

If your calculator outputs a number like 4.5e-3 or 4.5E-3, that is simply computer shorthand for scientific notation. The "E" stands for "Exponent" and replaces the "$\times 10^\text{power}$" part. So, 4.5e-3 is exactly equal to $4.5 \times 10^{-3}$.