Scientific Notation Calculator
Convert any number to and from scientific notation, or add, subtract, multiply, and divide two values in e-notation with the standard form result.
Scientific Notation
Accepts plain numbers, 1.23e4, 1.23e+4, 1.23 x 10^4, or 1.23 * 10^4.
Scientific notation
1.23e+4
Standard form
12300
Mantissa x 10^exponent
1.23 x 10^4
Frequently Asked Questions about the Scientific Notation Calculator
When should I use scientific notation?
Use it whenever a number is too large or too small to write comfortably in standard form. It compresses values like 0.0000000000667 or 299,792,458 into 6.67e-11 and 2.99792458e8, which are easier to read, compare, and plug into formulas.
What is normalized scientific notation?
A number is normalized when the mantissa sits in the range [1, 10) and is multiplied by a power of ten. So 12,300 becomes 1.23 x 10^4, not 12.3 x 10^3. Normalizing keeps the exponent unique and makes comparing magnitudes straightforward.
What does e-notation mean?
E-notation is the calculator-friendly form of scientific notation. The letter e (or E) reads as times ten to the power of, so 1.23e4 means 1.23 x 10^4 = 12,300 and 5e-3 means 5 x 10^-3 = 0.005.
How do I add two numbers written in scientific notation?
Align the exponents first, then add the mantissas. For 1.2 x 10^3 + 3.4 x 10^2, rewrite the smaller value as 0.34 x 10^3, add to get 1.54 x 10^3, then renormalize if needed. The calculator does this automatically.
How do significant figures relate to scientific notation?
Scientific notation makes significant figures explicit: every digit in the mantissa is significant. Writing 4,500 as 4.5 x 10^3 signals two significant figures, while 4.500 x 10^3 signals four. The exponent itself never counts toward significance.