MATHS & STATISTICS / ARITHMETIC

Scientific notation converter

Convert any number to scientific, E and engineering notation with the number of significant figures you choose.

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Your numbers

Small numbers work too, for example 0.000345.
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YOUR RESULT

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WORKED EXAMPLE

Scientific notation converter: a worked example

With number 123,456, significant figures 4, the scientific notation is 1.235 × 10⁵.

Inputs
Number123,456
Significant figures4
Results
Scientific notation1.235 × 10⁵
Coefficient1.235
Exponent5
E notation1.235E5
Engineering notation123.5 × 10³
THE METHOD

How it works

Scientific notation writes a number as a coefficient between 1 and 10 multiplied by a power of ten, which makes very large and very small numbers easy to compare. Choose how many significant figures to keep; the coefficient is rounded to that many digits. E notation (1.235E5) is the form used by calculators and spreadsheets, and engineering notation keeps exponents in steps of three to match prefixes such as kilo, mega and micro.

Formulax = a × 10ⁿ with 1 ≤ |a| < 10 and n a whole number. Engineering notation uses an exponent that is a multiple of 3.
ASSUMPTIONS

Assumptions and limits

  • The coefficient is rounded to the chosen number of significant figures, with exact halves of the stored value rounded away from zero.
  • Zero is shown as 0 × 10⁰.
  • Engineering notation uses exponents that are multiples of three, matching SI prefixes.
  • Results are estimates based on the inputs and assumptions on this page, not professional advice.
  • Try this: use “Save scenario A”, change one input and compare the two results side by side.
QUESTIONS

Frequently asked questions

How is the result of the “Scientific notation converter” calculated?

x = a × 10ⁿ with 1 ≤ |a| < 10 and n a whole number. Engineering notation uses an exponent that is a multiple of 3. Scientific notation writes a number as a coefficient between 1 and 10 multiplied by a power of ten, which makes very large and very small numbers easy to compare. Choose how many significant figures to keep; the coefficient is rounded to that many digits. E notation (1.235E5) is the form used by calculators and spreadsheets, and engineering notation keeps exponents in steps of three to match prefixes such as kilo, mega and micro.

What does the worked example show?

With number 123,456, significant figures 4, the scientific notation is 1.235 × 10⁵. Coefficient: 1.235; Exponent: 5; E notation: 1.235E5; Engineering notation: 123.5 × 10³.

What assumptions and limits apply?

This is an estimate based on the inputs and assumptions shown on this page, not professional advice. Check anything with financial, health or safety consequences independently.

Is my data private?

Yes. Calculations run in your browser and your numbers are not sent to a server. A share link contains the inputs you choose to share, so check it before sending it to anyone.

How do I write 0.000345 in scientific notation?

Move the decimal point four places to the right to get 3.45, so the number is 3.45 × 10⁻⁴. A negative exponent means the original number is smaller than 1.

What is the difference between scientific and engineering notation?

Scientific notation keeps one digit before the decimal point. Engineering notation chooses an exponent divisible by 3, so 123,456 becomes 123.5 × 10³, which reads directly as 123.5 thousand (kilo).

What does 1.2E6 mean?

It is E notation for 1.2 × 10⁶, which is 1,200,000. The E stands for “times ten to the power of”.

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