Scientific Notation Calculator

How it works

Convert numbers between standard decimal and scientific notation.

Convert numbers between decimal and scientific formats

Description

The Scientific Notation Calculator is a utility for handling numbers that are too large or too small to be conveniently written in decimal form. It converts expressions between standard decimal format and Scientific Notation ($a \times 10^n$, often written as $1.23e4$ in computing). This is a foundational tool for physics, chemistry, and astronomical mathematics.

Inputs

• Conversion Mode: Switch between “To Scientific” or “To Decimal”.
• Input Field:
  • In To Scientific mode, enter a standard number (e.g., 50000).
  • In To Decimal mode, enter a scientific expression (e.g., 5e4 or 1.23 x 10^5).

Outputs

• Result: The converted value in the target format.

Chart

• N/A: This tool provides direct numeric format conversion.

“Good to Know”

• What is “e”?: In calculators, “e” stands for “exponent of 10.” For example, $6.02e23$ is $6.02 \times 10^{23}$.
• Significant Figures: Scientific notation is the preferred way to show the precision of a measurement by only including the digits that are actually measured.
• Practicality: It is much easier to write $3e8$ than $300,000,000$ (the speed of light in m/s).

Examples

Example 1: Large Distance

• Input: Mode: To Scientific, Number: 150,000,000
• Output: 1.5e+8

Example 2: Micro-measurement

• Input: Mode: To Decimal, Number: 1.5e-5
• Output: 0.000015

Example 3: Calculation Support

• Input: Mode: To Scientific, Number: 0.000000987
• Output: 9.87e-7