Scientific Notation Conversion Formula
Scientific Notation Conversion Formula
\[x = m \cdot 10^{e}\]
Variables
x = original number
m = mantissa (coefficient)
e = exponent base 10
Description
What is this formula?
This formula converts a number into scientific notation form m × 10^e.
When to use it
Use it when working with very large or very small numbers to simplify representation and computation.
Example
Data:
x = 45000
Steps:
e = floor(log(abs(x))) = 4
m = 45000 / 10^4 = 4.5
Result:
x = 4.5 × 10^4
Applications
Used in physics, engineering, chemistry, and numerical computation.
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