Transform decimals, fractions, and powers into compact forms. Check coefficients, exponents, and engineering style instantly. Built for fast classroom and problem-solving accuracy daily.
Tip: Use decimal mode for ordinary numbers. Use notation mode to expand a coefficient and exponent into standard decimal form.
The chart compares nearby powers of ten around your current result, helping you see how exponent changes scale the value.
| Decimal Number | Scientific Notation | Engineering Notation | E Notation |
|---|---|---|---|
| 1250000 | 1.25 × 106 | 1.25 × 106 | 1.25e6 |
| 0.000482 | 4.82 × 10-4 | 482 × 10-6 | 4.82e-4 |
| 987654321 | 9.876543 × 108 | 987.6543 × 106 | 9.876543e8 |
| -0.0034 | -3.4 × 10-3 | -3.4 × 10-3 | -3.4e-3 |
Scientific notation writes a number as a × 10n, where 1 ≤ |a| < 10 and n is an integer.
Decimal to scientific notation: move the decimal point until one nonzero digit remains on the left. The number of moves becomes the exponent.
Formula: a = N / 10n and N = a × 10n
Engineering notation: the exponent must be a multiple of three, so the coefficient usually falls between 1 and 999.
It is a compact way to write very large or very small numbers. A value is shown as a coefficient multiplied by ten raised to an integer exponent.
That range keeps scientific notation standardized. It ensures every nonzero number has one unique normalized form, making comparison and communication easier.
Scientific notation uses any integer exponent. Engineering notation restricts the exponent to multiples of three, which aligns better with metric prefixes like kilo, milli, and micro.
Significant figures control rounding precision. Fewer significant figures give shorter results, while more significant figures preserve more detail from the original value.
Yes. Enter the coefficient and exponent in notation mode. The calculator multiplies the coefficient by the power of ten and returns the expanded decimal form.
A negative exponent means the decimal point moves left. The number is smaller than one, such as 4.2 × 10-3 for 0.0042.
E notation is commonly used in calculators, spreadsheets, and programming. It expresses the same value in a keyboard-friendly form like 3.5e8.
Use engineering notation when working with electronics, measurements, or SI prefixes. It makes scaling easier because exponents step in groups of three.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.