Least to greatest means ascending, on the number line
Ordering from least to greatest lines the values up left to right on the number line: smallest first, largest last. It is the first step for finding a median, quartiles or the min and max of a set.
−5 < −1 < 0 < 2 < 5
Three things that get sorted wrong
- Sorting as text, not numbers. Character order puts 10 before 2 (because "1" comes before "2"). Numeric order is 2, then 10. Always compare by value.
- Flipping negatives. −20 is smaller than −10, not larger. Sorting by size while ignoring the sign is the classic mistake.
- Leaving fractions as-is. Turn 3/4 into 0.75 before you compare, or put everything over a common denominator.
Mixed values, in order
| Type | Unsorted | Least to greatest |
|---|---|---|
| Integers | 7, −3, 0, 15, −10 | −10, −3, 0, 7, 15 |
| Decimals | 0.75, 0.25, 1.5, 0.5 | 0.25, 0.5, 0.75, 1.5 |
| Fractions | 3/4, 1/4, 1/2 | 1/4, 1/2, 3/4 |
| Mixed | 2, −1.5, 1/2, 0 | −1.5, 0, 1/2, 2 |
Once the list is sorted, the middle value is the median; the smallest and largest are simply the ends.
Common questions
What does least to greatest mean?
It means ascending order: the smallest number first, the largest last. For example 5, 2, 9, 1, 3 becomes 1, 2, 3, 5, 9.
How do negative numbers sort?
Every negative number is smaller than zero, and the more negative it is the smaller it ranks. So -20 comes before -10, which comes before 0 and then the positives.
How do I order fractions from least to greatest?
Convert each fraction to a decimal by dividing top by bottom, then compare. 1/4 is 0.25, 1/2 is 0.5, 3/4 is 0.75, so the order is 1/4, 1/2, 3/4.
