Exponential Notation Calculator
Convert numbers to and from exponential (E) notation with step-by-step explanations
Number Converter
Accepts standard decimal numbers (123.45) or exponential notation (1.23e5)
Number of significant digits to display
Detected format of your input
Conversion Results
E Notation
Exponential notation using 'e' to represent ×10
Scientific Notation
Standard scientific notation with multiplication symbol
Standard Notation
Regular decimal number format
Number Breakdown
1.23
5
Step-by-Step Conversion
1. Starting number: 123456
2. Move decimal point 5 places to the left
3. Mantissa: 1.23
4. Exponent: +5 (positive because we moved left)
5. Result: 1.23 × 10⁺5
6. E notation: 1.23e+5
Try These Examples
Quick Reference
E Notation Format
±M.MMe±EE
M = mantissa digits, E = exponent
Examples
1000 = 1.0e+3
0.001 = 1.0e-3
123.45 = 1.23e+2
0.00678 = 6.78e-3
Rules
- • Mantissa: 1 ≤ |M| < 10
- • Positive exponent: number ≥ 10
- • Negative exponent: number < 1
- • Zero exponent: 1 ≤ number < 10
Common Applications
Scientific Research
Representing very large or small measurements
Programming
Computer calculations and data storage
Engineering
Calculations with extreme values
Understanding Exponential Notation
What is Exponential Notation?
Exponential notation, also known as E notation or scientific notation, is a way to express very large or very small numbers in a compact, standardized format. It uses the letter 'e' (or 'E') to represent "times 10 to the power of".
Format Structure
M.MMM e ±EE
- M.MMM: Mantissa (1 ≤ |M| < 10)
- e: Exponential indicator
- ±EE: Exponent (power of 10)
Conversion Rules
- •For numbers ≥ 10: Move decimal left, positive exponent
- •For numbers < 1: Move decimal right, negative exponent
- •For 1 ≤ number < 10: No movement, zero exponent
Real-World Examples
Speed of Light
299,792,458 m/s = 2.998e+8 m/s
Avogadro's Number
602,214,076,000,000,000,000,000 = 6.022e+23
Electron Mass
0.000000000000000000000000000000910938 kg = 9.109e-31 kg
Benefits
- ✓Compact representation of extreme values
- ✓Easy comparison of magnitudes
- ✓Standard format across scientific fields
- ✓Prevents calculation errors with many zeros