Scientific Notation Converter
Convert numbers to and from scientific notation
Number Conversion Guide
Convert numbers between various formats
Convert a number to and from scientific notation, e notation, engineering notation, standard form, and real numbers. Enter a number, decimal number, or scientific notation, and the calculator converts it to all formats.
To enter a number in scientific notation, use a carat ^ to indicate the powers of 10 or enter numbers in e notation (e.g., 4.56 x 10^6 or 4.56e6).
Order of Magnitude
Identifies the power of 10 for the given number. For instance, 4.56 x 10^6 has an order of magnitude of 6.
Scientific Notation
The format is a x 10^b where 1 ≤ |a| < 10 and b is an integer. Move the decimal point to create a, count the moves for b.
Examples
Convert 123,456 to Scientific Notation:
- Move decimal 5 places left: 1.23456.
- a = 1.23456, b = 5.
- Result: 1.23456 x 10^5.
Convert 0.00789 to Scientific Notation:
- Move decimal 3 places right: 7.89.
- a = 7.89, b = -3.
- Result: 7.89 x 10^-3.
Conversion Table
| Standard Notation | Scientific Notation | E Notation | Standard Form |
|---|---|---|---|
| 123456 | 1.23456 x 10^5 | 1.23456e5 | 1.23456 x 10^5 |
| 98.7 | 9.87 x 10^1 | 9.87e1 | 9.87 x 10^1 |
| 0.00456 | 4.56 x 10^-3 | 4.56e-3 | 4.56 x 10^-3 |
| 0.000123 | 1.23 x 10^-4 | 1.23e-4 | 1.23 x 10^-4 |
Real Number Conversion
Multiply a by 10 raised to the power of b.
Examples:
1.234 x 10^3 = 1234.
1.234 x 10^-3 = 0.001234.
E Notation
Similar to scientific notation but uses e instead of x 10^.
Conclusion
This guide provides a comprehensive method to convert numbers into different notations. Utilizing this tool can greatly simplify calculations and understanding of large or small numbers.