Logarithmic Solver

Scientific Notation Calculator

Convert decimals to scientific notations and vice-versa with our real-time decimal point shift visualizer.

Select Direction

Scenario A: Decimal to Scientific

Value 3.5 × 10⁵

Scenario B: Scientific to Decimal

× 10 0.00125

Luminous Output

3.5 × 10⁵

Decimal Point Shift:

350000 has decimal shifted left by 5 positions.

What is the Scientific Notation Calculator?

The Scientific Notation Calculator allows you to perform math operations (+, -, *, /) on extremely large or infinitesimally small numbers without writing out dozens of zeros. It is a mandatory tool for astronomy, chemistry, and physics homework.

How It Works (Formula)

Scientific notation standardizes a number into a decimal between 1 and 10, multiplied by a power of 10. The calculator evaluates the exponent rules: when multiplying, the tool adds the exponents; when dividing, it subtracts them.

$$ (a \times 10^b) \times (c \times 10^d) = (a \times c) \times 10^{(b+d)} $$

Exponent rules govern the arithmetic of scientific notation.

How to Use It

Enter your first number using the "e" or "x10" format (e.g., 3.5e4). Select your mathematical operator, and enter the second number. The calculator will output the combined result in perfect scientific notation format.