Scientific Notation Converter

Convert between standard decimals, scientific exponents, e-notation, and engineering notation with absolute precision.

728x90

Enter Standard Numeric Decimal

Significant Figures

Standard Notation

0.000045

Scientific Exponent

4.500 × 10⁻⁵

E-Notation

4.500e-5

Engineering (Base 10³)

45 × 10⁻⁶

➕ Scientific Notation Calculator

Input A

Input B

Calculated Output

6.020 × 10²³

Standard Decimal: 6.02e+23

📐 Relative Magnitude Scale Map

10⁻¹⁵ (Femto)

10⁻⁹ (Nano)

10⁰ (Unit)

10⁶ (Mega)

10¹⁵ (Peta)

Hydrogen Atom Size

1.0 × 10⁻¹⁰ m

Earth's Mass

5.97 × 10²⁴ kg

Moon Distance

3.84 × 10⁸ m

728x90

Scientific Notation Conversion Guide

Mastering the mathematical syntax of exponential scales.

Core Rules & Syntax

Scientific notation expresses numbers as the product of a coefficient and a base-10 power.

✓Coefficient Constraint: The primary decimal coefficient must be strictly between 1 and 10 (e.g. 4.5, never 45).
✓Decimal Shift Left: Moving the decimal place to the left increases the base-10 exponent power.
✓Decimal Shift Right: Moving the decimal place to the right decreases the exponent.

Conversion Benchmarks

0.0055.0 × 10⁻³

45,0004.5 × 10⁴

0.00000011.0 × 10⁻⁷

Frequently Asked Questions

What is E-notation?

E-notation is a universal computer-readable shorthand representing scientific powers. The 'e' or 'E' character represents 'times ten to the power of' (e.g. 4.5e-5 is mathematically equivalent to 4.5 × 10⁻⁵).

How does engineering notation differ?

While standard scientific notation restricts coefficients strictly between 1 and 10, engineering notation enforces that the exponent must always be a multiple of 3 (e.g. 10³, 10⁻⁶). This perfectly aligns values with standard SI metrics such as kilo, mega, micro, or nano.

How are significant figures calculated?

Significant figures determine accuracy boundaries in measurements. Our calculator enables you to specify sig-figs to automatically round coefficients, preventing long fractions.