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What is 0.0002 as a Fraction?

Learn how to convert 0.0002 to a fraction with step-by-step instructions

Quick Answer

0.0002 as a fraction is:

1/5000

This is the simplest form of the fraction

0.0002 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 0.0002 to a Fraction

General Method: Converting Decimals to Fractions

Follow these steps to convert any decimal to a fraction

Step 1: Count Decimal Places

Count the number of digits after the decimal point

Example: 0.25 has 2 decimal places

Step 2: Multiply by Power of 10

Multiply by 10 raised to the number of decimal places

0.25 × 100 = 25

Step 3: Create Fraction

Use the result as numerator over the multiplier as denominator

25/100

Step 4: Simplify

Reduce the fraction if possible by dividing both numbers by their GCD

25/100 = 1/4

Converting 0.0002 to a Fraction

Let's apply the method to convert 0.0002

1

Count the decimal places in 0.0002

0.0002
There are 4 digits after the decimal point
2

Multiply by 10⁵ (10,000)

0.0002 × 10,000 = 2
Moving the decimal point 4 places right
3

Write as a fraction

2/10,000
Numerator: 2, Denominator: 10,000
4

Simplify the fraction

2/10,000 = 1/5000
Divide both numbers by their greatest common factor (2)

Final Result

0.0002 = 1/5000

Tips and Notes

  • The denominator will always be a power of 10 for terminating decimals
  • Each decimal place corresponds to multiplying by 10 (e.g., 4 places = 10,000)
  • Very small decimals like 0.0002 often result in fractions with large denominators

Related Decimal to Fraction Conversions

DecimalFractionComparison
0.000020.1/5000Smaller
0.00021/5000Current Value
0.00210/5000Larger
0.02100/5000Larger
0.21000/5000Larger

Additional Information

Scientific Notation

0.0002 can be written as 1 × 10⁻4 in scientific notation

Percentage

0.0002 is equal to 0.020% as a percentage

Common Calculations with 0.0002

Quick Reference Guide

Common calculations and conversions with 0.0002

Multiplication

  • 0.0002 × 10 = 0.002
  • 0.0002 × 100 = 0.02
  • 0.0002 × 1000 = 0.2
  • 0.0002 × 10000 = 2
  • 0.0002 × 5000 = 1

Division

  • 0.0002 ÷ 2 = 0.0001
  • 0.0002 ÷ 5 = 0.00004
  • 0.0002 ÷ 10 = 0.00002
  • 0.0002 ÷ 1/0.0002 = 5000

0.0002 in Different Number Systems

Decimal

0.0002

Scientific Notation

1 × 10⁻4

Percentage

0.020%

Fraction

1/5000

Parts Per Million

200 PPM

Binary

0.0000 0000 0000 0010

Real-World Applications of 0.0002

Where You Might Encounter 0.0002

Scientific Applications

  • • Microscopic measurements (200 micrometers)
  • • Chemical concentrations
  • • Statistical probability calculations
  • • Error margins in precise measurements

Engineering

  • • Manufacturing tolerances
  • • Electronic component specifications
  • • Quality control measurements
  • • Precision engineering

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