Convert a number to normalized scientific notation and evaluate a coefficient times a power of ten.
Fraction arithmetic, decimal-to-fraction conversion, ratios and proportions.
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45,000 = 4.5 × 10⁴.
Convert a number to normalized scientific notation and evaluate a coefficient times a power of ten. The result is intended for quick estimates, checking arithmetic and comparing scenarios. When a result affects a contract, tax filing, medical decision, building-code requirement or other high-stakes situation, verify the result with the appropriate professional or authoritative source.
The number 0.000072 equals 7.2 × 10⁻⁵. Move the decimal five places to the right to obtain a coefficient between 1 and 10, then use a negative power to preserve the original magnitude.
Sign of the exponent: small positive numbers have negative exponents, while large numbers generally have positive exponents. Zero is a special case; it has no unique normalized scientific-notation exponent.
Convert a number to normalized scientific notation and evaluate a coefficient times a power of ten.
Scientific notation writes a nonzero number as a × 10^n with 1 ≤ |a| < 10.
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