Ordering Decimals Calculator
Sort decimal numbers in ascending or descending order with step-by-step comparison explanations
Order Decimal Numbers
Separate numbers with commas, spaces, or semicolons. Up to 50 numbers supported.
Quick Examples
Decimal Comparison Rules
Compare Integer Parts
The number with the larger integer part is greater
Example: 23.12 > 22.99
Compare Decimal Places
Compare digits left to right until different
Example: 5.679 > 5.634 (7 > 3)
More Decimal Places
More precision can make a number larger
Example: 3.141 > 3.14
Tips & Tricks
Line up decimal points when comparing by hand
Add trailing zeros to make comparison easier
Remember: 0.5 = 0.500 = 0.5000
Negative decimals: -0.5 < -0.3 < 0
Understanding Decimal Ordering
How to Compare Decimals
Comparing and ordering decimals follows a systematic approach that ensures accurate results every time.
Step-by-Step Method:
- Compare the integer parts (whole numbers) first
- If integers are equal, compare decimal digits from left to right
- Stop when you find the first different digit
- If one number has more decimal places, it may be larger
Common Examples
Example 1: Different Integer Parts
23.1215 > 22.1215 because 23 > 22
Example 2: Same Integer, Different Decimals
56.46912 > 56.46543 because at the 3rd decimal place: 9 > 5
Example 3: Different Decimal Lengths
37.46563 > 37.46 because 37.46563 has additional decimal places