Scientific Notation: How It Works and How to Calculate It
A practical guide to writing, reading, multiplying, dividing, and entering scientific notation.
What is scientific notation?
Scientific notation writes a number as a coefficient multiplied by a power of ten. A value such as 602,200,000,000,000,000,000,000 can be written as 6.022 × 10^23.
How calculator notation works
Most expression calculators use e to represent powers of ten. For example, 6.022e23 means 6.022 × 10^23, while 1.38e-23 means 1.38 × 10^-23.
Multiplying scientific notation
Multiply the coefficients and add the exponents. For example, (2e3)(4e5) = 8e8. The calculator handles the exponent arithmetic for you.
Common mistakes
- Do not type spaces inside the exponent notation.
- Use a minus sign for negative exponents:
1e-9. - Use parentheses when combining a scientific-notation value with other operations.