Scientific Notation Converter
Enter a Number (Standard or Scientific Notation)
About Scientific Notation Converter
What Is Scientific Notation?
Scientific notation expresses numbers as a coefficient between 1 and 10 multiplied by a power of 10. For example, 5,280,000 becomes 5.28 x 10^6 and 0.000045 becomes 4.5 x 10^-5. This format makes it easy to work with extremely large numbers (distance to stars, atoms in a mole) and extremely small numbers (electron mass, bacteria size) without writing long strings of zeros.
Notation Types
Scientific Notation: Coefficient (1-10) x 10^n. Example: 3.5 x 10^4. E-Notation: Used in programming/calculators. Example: 3.5E4 or 3.5e+4. Engineering Notation: Like scientific but exponent is always a multiple of 3 (matches SI prefixes like kilo, mega, giga). Example: 35 x 10^3.
How to Convert
To convert to scientific notation: move the decimal point until the coefficient is between 1 and 10. Count the moves. Moves left = positive exponent (large numbers); moves right = negative exponent (small numbers). To convert from scientific notation: move the decimal point by the exponent value (right for positive, left for negative).
Frequently Asked Questions
Why use scientific notation?
It makes very large or small numbers readable, simplifies calculations (add/subtract exponents when multiplying/dividing), and clearly shows significant figures. Essential in science and engineering.
What is the difference between scientific and engineering notation?
Engineering notation restricts exponents to multiples of 3, matching metric prefixes (10^3=kilo, 10^6=mega, 10^9=giga). The coefficient ranges from 1 to 999 instead of 1 to 10.
How do I multiply numbers in scientific notation?
Multiply the coefficients and add the exponents. Example: (3 x 10^4) x (2 x 10^3) = 6 x 10^7. Adjust if the coefficient exceeds 10.
