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Order from Least to Greatest Calculator

Created by Luis Hoyos
Reviewed by Komal Rafay
Last updated: Jan 18, 2024


If you need to put numbers in order from least to greatest, this calculator is your safe bet. You can use this tool if you're struggling with one of the following issues:

  • How to put integer numbers in order from least to greatest;
  • How to order decimals from least to greatest; or
  • How to order fractions from least to greatest.
  • Additionally, you can enable the advanced mode of the calculator and order from greatest to least (the opposite problem).

To use this calculator, insert your numbers inside the boxes, and their order from least to greatest will immediately display. More fields will appear if you need (up to 50 numbers!).

💡 This calculator also admits fractions and entries in a not-yet-calculated form. Say: (3 + 12 × 3); (2 + 6)/4, or (-1) × (13 - 5)

Algorithms to put numbers in order from least to greatest

Ordering numbers from least to greatest is not always easy, especially when dealing with high amounts of them or complicated fractions. Fortunately, some algorithms are there to save us a lot of time and effort.

Insertion sort

This algorithm compares one element at a time to the ones placed in an ordered list that grows with time.

An example of insertion sort.
An example of insertion sort. Attribution: Swfung8, CC BY-SA 3.0, via Wikimedia Commons.

Bubble sort:

This algorithm iteratively travels through the list from left to right (or up to down), selecting pairs of adjacent numbers and checking if those pairs of numbers are in ascending order. If they're not in order, it switches their position.

An example of bubble sort
An example of bubble sort. Attribution: Swfung8, CC BY-SA 3.0, via Wikimedia Commons.

Merge sort

We divide the list into the smallest possible sub-lists (one element), then compare each with the adjacent sub-list and sort and merge them both. We repeat the process until merging all sub-lists into one.

An example of bubble sort
An example of bubble sort. Attribution: Swfung8, CC BY-SA 3.0, via Wikimedia Commons.

Other calculators for ordering from least to greatest and vice versa

FAQ

How to order fractions from least to greatest?

There are various ways to order fractions from least to greatest:

  • By converting the fractions into decimals, we can use the typical methods used for integer numbers.
  • By converting all elements into equivalent fractions with the same denominator, we can compare them more easily. For two fractions with equal denominators, the greater will be the one with the larger numerator (for example, 202/200 > 201/200).

How to select the proper order from least to greatest for 2/3, 7/6, 1/8, and 9/10?

To select the proper order from least to greatest for 2/3, 7/6, 1/8, and 9/10:

  1. Convert everything into decimals:
    • 2/3 = 0.667;
    • 7/6 = 1.167;
    • 1/8 = 0.125; and
    • 9/10 = 0.9.
  2. Now, the task is simply ordering the following numbers from least to greatest {0.667, 1.167, 0.125, 0.9}.
  3. The result is:
    • {0.125, 0.667, 0.9, 1.167} in decimals; or
    • {1/8, 2/3, 9/10, 7/6} in fractions.
Luis Hoyos
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