Scientific Notation Converter
Convert between decimal numbers and scientific notation with precision. Perfect for scientists, engineers, students, and researchers working with very large or very small numbers.
Scientific Notation Converter
Convert between decimal numbers and scientific notation format
What is Scientific Notation?
Scientific notation is a method of expressing numbers that are either very large or very small in a compact, standardized format. It uses the form a × 10ⁿ, where 'a' is a number between 1 and 10, and 'n' is an integer exponent.
Large Numbers
299,792,458 = 2.99792458 × 10⁸
Speed of light in m/s
Small Numbers
0.0000000001 = 1 × 10⁻¹⁰
One ten-billionth
Regular Numbers
1,500 = 1.5 × 10³
Fifteen hundred
How to Use the Converter
Converting TO Scientific Notation
- 1. Enter any decimal number (e.g., 1234567)
- 2. The tool automatically converts to scientific notation
- 3. View the mantissa and exponent components
- 4. Copy the result for your use
Converting FROM Scientific Notation
- 1. Click the toggle to switch modes
- 2. Enter scientific notation (1.23e5, 1.23×10⁵)
- 3. Get the decimal equivalent instantly
- 4. Multiple input formats supported
Real-World Examples
Physics
2.99792458 × 10⁸ m/s
6.63 × 10⁻³⁴ J⋅s
Chemistry
6.02214076 × 10²³
1 × 10⁻¹⁰ meters
Technology
3 × 10⁹ Hz (3 GHz)
7 × 10⁻⁹ meters
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Frequently Asked Questions
What's the difference between scientific notation and E notation?
Scientific notation uses × (1.23 × 10⁵) while E notation uses E (1.23e5). Both represent the same value, but E notation is easier to type on computers.
When should I use scientific notation?
Use scientific notation for very large (>1,000,000) or very small (<0.001) numbers. It's essential in physics, chemistry, astronomy, and engineering.
Can I convert negative numbers?
Yes! Negative numbers work the same way. For example, -1,234,567 becomes -1.234567 × 10⁶.
Understanding the Mathematics
Converting Large Numbers:
- Move decimal point to create a number between 1 and 10
- Count places moved (becomes positive exponent)
- Write as a × 10ⁿ format
Converting Small Numbers:
- Move decimal point to create a number between 1 and 10
- Count places moved (becomes negative exponent)
- Write as a × 10⁻ⁿ format
Example: Converting 0.00045 → Move decimal 4 places right to get 4.5 → Result: 4.5 × 10⁻⁴
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