Scientific Notation Calculator
Convert values into scientific, engineering and E-notation, or perform arithmetic (+, −, ×, ÷, powers, roots, squares) directly on two numbers written in scientific form.
Scientific Notation Converter
Provide a number below to get its scientific notation, E-notation, engineering notation and real number format. Accepts values in any of these formats: 3672.2, 2.3e11, 3.5×10^-12.
Scientific Notation Calculator
Use the calculator below to perform calculations using scientific notation. Enter each value as a coefficient and an exponent (base 10).
What is scientific notation?
Scientific notation writes any real number as a coefficient (also called the significand or mantissa) times a power of ten: b × 10ⁿ, with 1 ≤ |b| < 10 and n an integer. It is the standard way to keep very large and very small numbers readable — 6.022 × 10²³ is much easier to work with than 602,200,000,000,000,000,000,000.
Scientific notation calculator, piece by piece
Each card explains one thing the tool does with your input — how it normalises the coefficient, the exponent rules it uses for + − × ÷, and the two alternative formats (engineering and E-notation) it also outputs.
Normalising the coefficient — where the decimal point lands
The calculator slides the decimal point in your input until exactly one non-zero digit sits to the left of it, counting every shift as a change in the exponent. Shifting the point to the left makes the exponent bigger; shifting to the right makes it smaller. This is what forces the coefficient into the required 1 ≤ |b| < 10 range in the result box.
Arithmetic — how + − × ÷ handle the exponents
Multiplication multiplies the coefficients and adds the exponents; division divides coefficients and subtracts. For addition and subtraction the calculator first rewrites every term with the same power of ten, then adds or subtracts the coefficients. After every operation it re-normalises the result so the output stays in the form 1 ≤ |b| < 10.
Engineering & E-notation — the two alternative outputs
The tool also prints two related formats. Engineering notationsnaps the exponent to a multiple of 3 so it lines up with SI prefixes (kilo, mega, giga, milli, micro, nano). E-notation replaces "× 10" with the letter E, which is what programming languages, spreadsheets, and calculator screens actually accept. Same value, three ways to write it.
Decimal vs scientific vs E-notation
| Decimal | Scientific | E-notation |
|---|---|---|
| 5 | 5 × 10⁰ | 5E0 |
| 700 | 7 × 10² | 7E2 |
| 1,000,000 | 1 × 10⁶ | 1E6 |
| 0.0004212 | 4.212 × 10⁻⁴ | 4.212E-4 |
| −5,000,000,000 | −5 × 10⁹ | -5E9 |
Features of this calculator
- Two tools in one — a converter and a full arithmetic calculator
- Converts a plain number into scientific, engineering and E-notation at once
- Works in reverse: paste 1.568938e6 or 1.568938×10^6 and get the real value back
- Seven operations on scientific-notation inputs: +, −, ×, ÷, X^Y, √X, X²
- Adjustable precision for the coefficient of the result (default 20 digits)
- Auto-normalises answers to the standard 1 ≤ |coefficient| < 10 form
Frequently asked questions
+What does 'e' mean in 3.2e5?
"e" is shorthand for "× 10^", so 3.2e5 = 3.2 × 10⁵.
+Do I have to normalise the answer?
Yes — by convention the coefficient must be between 1 and 10 in absolute value. The calculator normalises automatically.
+Is engineering notation different from scientific?
Yes. Engineering notation restricts the exponent to a multiple of 3 so it lines up with SI prefixes (kilo, mega, giga…). The coefficient can be up to 999.
+Can I paste 1.234 × 10^5?
Yes. The converter accepts plain numbers, E-notation (1.234e5), and the ×10^n form (1.234×10^5).
+What about negative or fractional exponents in X^Y?
Both are supported. Non-integer exponents may produce irrational results, rounded to the precision you set.