Avogadro's constant
- Input
- 6.02e23
- Expected output
- 602000000000000000000000
The point moves 23 places right; writing that many particles out in full, without the notation, would take 24 digits in an equation.
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convert scientific notation to decimal
Scientific papers and datasheets write numbers like 6.02×10²³ or 9.11×10⁻³¹ because spelling out every zero would be impractical. To expand one, move the decimal point n places: right for a positive exponent, left for a negative one, filling the empty spots with positional zeros.
The point moves 23 places right; writing that many particles out in full, without the notation, would take 24 digits in an equation.
That is 30 positional zeros before the first 9; they mark the decimal place, not measured figures, which are still only 3.
The exact value defined by the SI is 299792458 m/s; 2.998×10⁸ is a 4-digit approximation used in introductory texts.
It is a way to write numbers as a × 10ⁿ, where the coefficient a is between 1 and 10 (in absolute value) and n is an integer (positive, negative or zero).
The total positional zeros before the first significant digit equal the exponent minus 1: for 9.11×10⁻³¹, that is 30 zeros before the 9, because an exponent of −31 shifts the point 31 places, and the first of those places is filled by the digit 9 itself.
No. The converter reads the digits in the typed coefficient and rebuilds the decimal with that same count: 5.00×10⁻³ (3 figures) comes back as 0.00500, preserving both trailing zeros instead of simplifying to 0.005.
Because expanding a number like Avogadro's constant, 6.02×10²³, produces 24 digits, hard to read and easy to mistype by hand. The exponent communicates the order of magnitude immediately, without requiring the reader to count decimal places.
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