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Scientific Notation Converter

Convert ordinary decimal numbers into scientific notation, standard form, E-notation and engineering notation. Convert back to decimal form, control significant figures, compare powers of ten and view worked steps.

a×10ⁿ
standard form • E notation

Converter

Enter a large or small number, such as 4500000 or 0.00072.

Display settings

s.f.
dp

Quick examples

Load common standard form conversions instantly.

Worked steps

Equivalent forms

Powers of ten reference table

PowerDecimal valueName/meaning

How scientific notation works

Scientific notation writes a number as a coefficient multiplied by a power of 10. The coefficient is usually at least 1 and less than 10.

number = a × 10ⁿ, where 1 ≤ |a| < 10

Large numbers use positive exponents because the decimal point moves to the left. Small numbers between 0 and 1 use negative exponents because the decimal point moves to the right.

Engineering notation is similar, but the exponent is always a multiple of 3. This is useful for metric prefixes such as kilo, mega, micro and nano.

Common uses

Science and engineering

Write very large or very small measurements clearly, such as distances, masses, charges and concentrations.

Calculators and spreadsheets

E-notation such as 4.5E6 is commonly used in digital tools and programming.

Significant figures

Round answers to the correct number of meaningful digits without losing the scale of the value.

Comparing magnitudes

Quickly compare values by looking at their powers of ten.

Common questions

What is scientific notation?
Scientific notation writes a number as a coefficient multiplied by 10 to a power, such as 4.5 × 10⁶.
What does E-notation mean?
E-notation is a computer-friendly version of scientific notation. For example, 4.5E6 means 4.5 × 10⁶.
What is engineering notation?
Engineering notation uses powers of 10 that are multiples of 3, such as 10³, 10⁶ or 10⁻⁹.

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