Greatest to Least Calculator

Enter a list of numbers and get them ordered from greatest to least (descending). Handles integers, decimals, fractions, and negative values, and shows the maximum, minimum, and range.

Separate values with commas, spaces, or new lines. Fractions like 3/4 are allowed.

Quick Facts

Method
Descending numeric sort (largest value first)
Each entry is read as a number, then compared by value — so -1 > -5, and 3/4 = 0.75.

Your Results

Ordered
Greatest to least
-
Sorted in descending order
Maximum
-
Largest value
Minimum
-
Smallest value
Range
-
Maximum − minimum

Ready

Enter your numbers and press Order.

Ordering numbers from greatest to least

Ordering a list from greatest to least means arranging the values in descending order: the largest number is written first, and every number after it is smaller than or equal to the one before. It is the exact reverse of least-to-greatest (ascending) order. The list itself never changes — you keep the same numbers, just rearranged so their magnitudes step down from the maximum to the minimum.

For example, the set 42, 7, 19, 3.5, −4, 100 in greatest-to-least order is 100, 42, 19, 7, 3.5, −4. Duplicate values simply sit next to each other; 5, 5, 2 is already in order.

How the comparison works

To order numbers you compare them two at a time by value, not by how they look. A few rules cover every case:

  • Whole numbers: the bigger the number, the earlier it goes. 90 comes before 12.
  • Decimals: compare place by place from the left. 0.9 > 0.85 because 9 tenths beats 8 tenths, even though 85 "looks" longer than 9.
  • Fractions: convert each to its decimal value first. 3/4 = 0.75, 2/3 ≈ 0.667, so 3/4 > 2/3.
  • Negatives: a negative number is greater when it is closer to zero. −1 > −5 > −100. This is where people most often slip, because −100 has the largest digits but the smallest value.

Why ordering matters

Putting data in descending order is a first step in a lot of everyday statistics and math work. It surfaces the maximum and minimum at a glance, makes the range (maximum − minimum) trivial to read off, and is the setup for finding the median (the middle value once a list is sorted) and the quartiles. Ranking scores, prices, temperatures, or measurements from highest to lowest also makes it obvious which items are on top and which trail behind.

Greatest-to-least vs. least-to-greatest

The two orders contain identical information — one is just the reverse of the other. Use greatest to least when the top values are the point (highest test scores, most expensive items, warmest days); use least to greatest when the smallest values lead the story. Reversing a correctly ordered descending list gives you the ascending list for free.

Frequently Asked Questions

What does "greatest to least" mean?
Greatest to least means descending order: the largest number comes first and each number after it is smaller than or equal to the one before. For example, 8, 3, 3, 1, −2 is in greatest-to-least order. It is the reverse of least-to-greatest (ascending) order.
How do you order negative numbers from greatest to least?
A negative number is greater when it is closer to zero, so −1 > −5 > −100. Ordering −3, −20, −1, 0 from greatest to least gives 0, −1, −3, −20. Watch out: −20 has bigger digits than −3 but a smaller value, so it goes last.
Can it sort decimals and fractions together?
Yes. Every entry is converted to its decimal value before comparing, so 3/4 (0.75), 0.7, and 5/8 (0.625) order correctly as 0.75, 0.7, 0.625. You can freely mix integers, decimals, and fractions in the same list.
What happens to duplicate numbers?
Duplicates are kept and placed next to each other. Ordering 4, 9, 4, 1 gives 9, 4, 4, 1 — nothing is dropped, because ordering rearranges values without removing any.

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