Scientific Notation Calculator
Convert numbers to and from scientific notation, engineering notation, and E-notation. Add, subtract, multiply, and divide numbers in scientific notation with step-by-step results.
Scientific Notation (a × 10ⁿ)
—
Engineering Notation (10³/⁶/⁹) —
E-Notation (programming) —
Order of Magnitude —
SI Prefix —
Extended More scenarios, charts & detailed breakdown ▾
Result
—
Numeric Value —
Professional Full parameters & maximum detail ▾
Scientific Notation
—
Engineering Notation —
E-Notation (code) —
Full Decimal —
Order of Magnitude —
Number of Digits (integer part) —
SI Prefix —
How to Use This Calculator
Enter any number in the Number field. Results instantly show scientific notation, engineering notation, E-notation, order of magnitude, and SI prefix. Use the Arithmetic tab to add, subtract, multiply, or divide two numbers given in scientific notation form. Use the Professional tab to control significant figures.
Formula
Scientific: a × 10ⁿ where 1 ≤ |a| < 10 • Engineering: a × 10ⁿ where n ∈ {…, −6, −3, 0, 3, 6, …}
Example
0.00000042 = 4.2 × 10⁻⁷ (scientific) = 420 × 10⁻⁹ (engineering, 420 nano) = 4.2e-7 (E-notation)
Frequently Asked Questions
- Scientific notation expresses numbers as a × 10ⁿ where 1 ≤ |a| < 10 and n is an integer. For example, 123,000,000 = 1.23 × 10⁸.
- Engineering notation uses exponents that are multiples of 3 (matching SI prefixes like kilo, mega, giga). For example, 123,000,000 in engineering notation is 123 × 10⁶ (123 mega).
- E-notation is used in programming and calculators: 1.23e8 means 1.23 × 10⁸. The "e" stands for "times ten to the power of".
- Multiply the coefficients and add the exponents: (3.2 × 10⁵) × (2.5 × 10³) = (3.2 × 2.5) × 10^(5+3) = 8.0 × 10⁸.
- SI prefixes are standard multipliers: nano (10⁻⁹), micro (10⁻⁶), milli (10⁻³), kilo (10³), mega (10⁶), giga (10⁹), tera (10¹²). They map directly to engineering notation exponents.