# Scientific Notation Calculator

URL: https://speedycalculator.com/calculators/math/scientific-notation/
Last updated: 2026-10-25

> The scientific notation calculator rewrites any number as a coefficient between 1 and 10 multiplied by a power of ten. It also shows engineering notation, where the exponent is a multiple of three.

## Inputs

- Number

## Results

- Power of ten (n)
- Coefficient (a)
- Engineering exponent
- Engineering coefficient

## Formula

```
x = a × 10ⁿ,  1 ≤ |a| < 10
```

## Explanation

Scientists and engineers use scientific notation to write very large and very small numbers compactly.

### How to use the Scientific Notation Calculator

- **Number**

Results update as you type, and every field accepts the units shown in its menu.

### How it works

The exponent n is the whole-number part of log₁₀|x|; the coefficient is x divided by 10ⁿ.

### What each result means

- **Power of ten (n)** = floor(log10(abs([Number])))
- **Coefficient (a)** = [Number] ÷ 10^[Power of ten (n)]
- **Engineering exponent** = floor([Power of ten (n)]÷3)×3
- **Engineering coefficient** = [Number] ÷ 10^[Engineering exponent]

## Worked example

Inputs — Number: 0.000452.

Results — **Power of ten (n) = -4**; Coefficient (a) = 4.52; Engineering exponent = -6; Engineering coefficient = 452.

## Key terms

- **Engineering notation**: Scientific notation with exponents that are multiples of 3.

## FAQ

**How do I read 4.52 × 10⁻⁴?**
Move the decimal point four places left: 0.000452.

**What is E notation?**
Calculators write 4.52E-4 for 4.52 × 10⁻⁴.

**What formula does the Scientific Notation Calculator use?**
x = a × 10ⁿ,  1 ≤ |a| < 10.