When scientific notation helps
Scientific notation is useful for very large and very small values in science, engineering, finance and data work. It makes magnitude easier to compare without counting long strings of zeros.
Example
1,234,567 becomes 1.234567 x 10^6 because the decimal point moves 6 places left. A small value such as 0.0042 becomes 4.2 x 10^-3.
Common mistakes
The coefficient should usually be at least 1 and less than 10 for non-zero values. Moving the decimal point left gives a positive exponent; moving it right gives a negative exponent.
Limitations
Zero is shown as 0 x 10^0 because it has no unique non-zero coefficient and exponent form.
Last reviewed: 2026-05-17