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MathAnvil

Scientific Notation

Convert numbers to/from scientific notation and do arithmetic — with the full working shown and auto-normalization.

Mode
Fill in values and press Calculate.

About this calculator

Convert any number to scientific notation, convert scientific notation back to standard form, or multiply/divide two numbers in scientific notation. Results are normalized so the coefficient is between 1 and 10.

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How scientific notation works

Scientific notation expresses numbers as a coefficient (between 1 and 10) multiplied by a power of 10. For example, 4500 = 4.5 × 10³ and 0.0032 = 3.2 × 10⁻³. To multiply, multiply the coefficients and add the exponents. To divide, divide the coefficients and subtract the exponents. Then normalize so the coefficient is between 1 and 10.