Math & Algebra Tool
Scientific Notation Converter
Convert between Decimal, Scientific, and E-Notation formats.
Accepts decimals (0.004) and E-notation (4e-3)
Scientific Notation
1.234567 × 10⁴
Decimal Format
12345.67
E-Notation
1.234567e+4
Σ The Formula
a × 10ⁿ
Real World Examples
Standard
12300 → 1.23 × 10⁴
Small
0.0056 → 5.6 × 10⁻³
# About This Calculator
Scientific notation is the standard language of science. It allows us to easily handle numbers that are incredibly huge (like the distance to the sun) or infinitesimally small (like the width of an atom) without writing endless zeros.
The format is a × 10ⁿ:
- Coefficient (a): A number between 1 and 10 (e.g., 1.23).
- Base (10): The number system we use.
- Exponent (n): How many places the decimal moves. Positive for big numbers, negative for small ones.
Example: The speed of light is ~300,000,000 m/s. In scientific notation, it's 3.0 × 10⁸. Much easier to write!
Frequently Asked Questions
What is E-Notation?+
E-notation is a way to type scientific notation on computers and calculators where superscripts aren't available. '3.0 × 10⁸' becomes '3.0E8'. The 'E' stands for 'Exponent'.
How do I convert a decimal to scientific notation?+
Move the decimal point until you have a number between 1 and 10. Count how many times you moved it. If you moved left, the exponent is positive. If you moved right, it's negative.
What are Significant Figures?+
Scientific notation helps clarify significant figures. In '1.20 × 10³', all three digits (1, 2, 0) are significant, meaning the precision is known to that level.
Why is it useful?+
Beyond saving space, it makes multiplying and dividing huge numbers easy. You just multiply the coefficients and add the exponents!
Is Scientific Notation Converter free to use?+
Yes, Scientific Notation Converter on Matheric is completely free to use. We believe in accessible education and utility for everyone.
How accurate is Scientific Notation Converter?+
We use standard mathematical formulas and high-precision computing algorithms to ensure results for Scientific Notation Converter are accurate for academic and professional use.