What is 1.004 as a Fraction?
Learn how to convert 1.004 to a fraction with step-by-step instructions
Quick Answer
1.004 as a fraction is:
251/250
This is the simplest form of the fraction
1.004 Decimal to Fraction Calculator
Convert Any Decimal to a Fraction
Enter a decimal number to see its fraction equivalent
How to Convert 1.004 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 1.004 to a Fraction
Let's apply the method to convert 1.004
Count the decimal places in 1.004
Multiply by 10⁵ (1,000)
Write as a fraction
Simplify the fraction
Final Result
1.004 = 251/250
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., 3 places = 1,000)
- Very small decimals like 1.004 often result in fractions with large denominators
Related Decimal to Fraction Conversions
Decimal | Fraction | Comparison |
---|---|---|
0.1004 | 25.1/250 | Smaller |
1.004 | 251/250 | Current Value |
10.04 | 2510/250 | Larger |
100.4 | 25100/250 | Larger |
1004 | 251000/250 | Larger |
Additional Information
Scientific Notation
1.004 can be written as 251 × 10⁻3 in scientific notation
Percentage
1.004 is equal to 100.400% as a percentage
Common Calculations with 1.004
Quick Reference Guide
Common calculations and conversions with 1.004
Multiplication
- 1.004 × 10 = 10.04
- 1.004 × 100 = 100.4
- 1.004 × 1000 = 1004
- 1.004 × 10000 = 10040
- 1.004 × 250 = 251
Division
- 1.004 ÷ 2 = 0.502
- 1.004 ÷ 5 = 0.2008
- 1.004 ÷ 10 = 0.1004
- 1.004 ÷ 1/1.004 = 250
1.004 in Different Number Systems
Decimal
1.004
Scientific Notation
251 × 10⁻3
Percentage
100.400%
Fraction
251/250
Parts Per Million
1004000 PPM
Binary
0.0000 0000 0100
Real-World Applications of 1.004
Where You Might Encounter 1.004
Scientific Applications
- • Microscopic measurements (1004000 micrometers)
- • Chemical concentrations
- • Statistical probability calculations
- • Error margins in precise measurements
Engineering
- • Manufacturing tolerances
- • Electronic component specifications
- • Quality control measurements
- • Precision engineering