Scientific Notation Calculator

Scientific notation writes any number as coefficient × 10^exponent, with the coefficient between 1 and 10 (or 0). It is a compact way to express very large numbers like 5.97 × 10^24 (mass of the Earth in kilograms) or very small numbers like 6.626 × 10^-34 (Planck's constant in joule-seconds).

Move the decimal point until exactly one nonzero digit is to its left. Count the moves: if you moved left, the exponent is positive (you reduced a large number); if you moved right, the exponent is negative (you scaled up a small number). For 12,345 the exponent is 4 because the decimal moved 4 places left: 1.2345 × 10^4.

Move the decimal point right until exactly one nonzero digit is to its left. For 0.00045 that takes 4 moves to get 4.5, so the exponent is -4: 4.5 × 10^-4. Negative exponents indicate values smaller than 1.

Yes. The sign attaches to the coefficient. For -0.0072 the coefficient is -7.2 and the exponent is -3, so the scientific form is -7.2 × 10^-3. The exponent is governed by the magnitude only.

Any time the numbers are too large or too small to read comfortably in standard form. It is the default in physics, chemistry, astronomy, and any field that deals with extreme scales. Calculators and computer math also use it internally to keep precision and avoid overflow.

Scientific notation lets the exponent be any whole number. Engineering notation restricts the exponent to a multiple of 3 (so coefficients sit between 1 and 1000), which lines up with SI prefixes like kilo, mega, micro, and nano. This calculator returns standard scientific notation, not engineering.