Scientific Notation Calculator
Convert any number to scientific, E and engineering notation and back, and multiply, divide, add or subtract numbers written as powers of ten.
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Scientific notation
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E notation (calculator)
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Engineering notation
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Result
E notation: 1.80600e+22
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Powers of ten you will meet in science
| Quantity | Value |
|---|---|
| Avogadro constant | 6.022 × 10²³ mol⁻¹ |
| Speed of light | 2.998 × 10⁸ m/s |
| Elementary charge | 1.602 × 10⁻¹⁹ C |
| Planck constant | 6.626 × 10⁻³⁴ J·s |
| Mass of an electron | 9.109 × 10⁻³¹ kg |
| Gravitational constant | 6.674 × 10⁻¹¹ N·m²/kg² |
Values from CODATA 2018. The coefficient's digits are the significant figures: 6.022 × 10²³ has four. See the significant figures calculator.
Frequently asked questions
How do I write a number in scientific notation?
Move the decimal point until one non-zero digit is in front of it. The number of places moved is the exponent: positive if you moved left (large numbers), negative if you moved right (small numbers). 0.000345 = 3.45 × 10⁻⁴.
How do I type scientific notation on this site?
Any of
3.45e-4, 3.45E-4, 3.45×10^-4 or 3.45*10^-4. The same input style works in every StemCalc calculator.How do you multiply numbers in scientific notation?
Multiply the coefficients and add the exponents, then renormalise. (6.02 × 10²³) × (3.0 × 10⁻²) = 18.06 × 10²¹ = 1.8 × 10²².
How do you add numbers in scientific notation?
Rewrite them with the same power of ten, add the coefficients, then renormalise. 3.0 × 10⁴ + 2.5 × 10³ = 3.0 × 10⁴ + 0.25 × 10⁴ = 3.25 × 10⁴.
What is engineering notation?
Like scientific notation, but the exponent is always a multiple of 3, matching SI prefixes: 3.45 × 10⁻⁴ becomes 345 × 10⁻⁶, i.e. 345 micro-units.