Introduction to Scientific Notation and Standard Form
In mathematics and science, standard form (also known as scientific notation) is a method of writing numbers that are too large or too small to be conveniently written in decimal form. It is based on powers of 10. For example, the distance to the Sun is approximately 149,600,000 kilometers—written as $1.496 × 10^8$ in standard form. Conversely, the mass of an electron is tiny, written with 30 leading zeros, or $9.109 × 10^{-31}$ kg in scientific notation. Using standard form simplifies arithmetic operations and ensures precision in physics, chemistry, astronomy, and engineering.
Standard form requires a number to be written as a product of a coefficient $a$ and a power of 10:
a × 10^b
Where the coefficient $a$ is a real number whose absolute value is greater than or equal to 1 and strictly less than 10 ($1 \leq |a| < 10$), and the exponent $b$ is an integer. If a number is converted, moving the decimal point to the left increases the exponent, while moving it to the right decreases it.
This calculator converts numbers between standard decimal format, standard scientific notation, engineering notation (where exponents are multiples of 3), and computer E-notation (e.g., 4.5e8).