हिन्दी

Scientific Notation Calculator (Standard Form)

Type an ordinary number like 0.000345 or one in standard form like 6.02 × 10^23. You get every form at once.

Scientific notation

3.45 × 10⁻⁴

E notation
3.45e-4
Engineering notation
345 × 10⁻⁶
Ordinary number
0.000345
Power of 10
−4
Show working
  1. 0.000345 = 3.45 × 10⁻⁴ (→ 4)

How to use

  1. Type the number. 3.45e-4 and 3.45 × 10^-4 are understood too.
  2. Optionally choose how many significant figures to keep.
  3. Read the scientific, E, engineering and ordinary forms.

Good to know

Scientific notation writes a number as a × 10ⁿ with 1 ≤ a < 10. Move the decimal point until one non-zero digit is left of it; the number of places moved is the power of 10 (negative if you moved right). 0.000345 = 3.45 × 10⁻⁴ and 45,000 = 4.5 × 10⁴.

E notation (3.45e-4) is how calculators and spreadsheets show the same thing. Engineering notation keeps the power a multiple of 3 (345 × 10⁻⁶), which matches prefixes like micro, milli, kilo and mega.

Conversion is exact: digits are moved, not recalculated, so nothing is lost. Choosing significant figures rounds half up: 1,23,456 to 3 s.f. is 1.23 × 10⁵. Examples from NCERT Class 7–8 and science: the speed of light is about 3 × 10⁸ m/s and Avogadro's number is 6.022 × 10²³.

Questions

How do I write 0.00056 in scientific notation?

5.6 × 10⁻⁴. The decimal point moves 4 places to the right.

How do I convert 3.2 × 10⁵ to an ordinary number?

Move the decimal point 5 places right: 320000.

What does 1.5e6 mean?

1.5 × 10⁶ = 15,00,000 (1.5 million or 15 lakh).

What is standard form in Indian textbooks?

NCERT calls scientific notation 'standard form'. They are the same thing.

What is engineering notation?

Like scientific notation, but the power of 10 is always a multiple of 3: 47,000 = 47 × 10³.

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