Find Out What Ascending Order Means, and Know How to Arrange

In mathematics, placing integers in ascending order refers to doing so from left to right, starting with the smallest. Organizing words or letters alphabetically from A to Z is another option. Ascending order means that the numbers are rising since ascending order means “moving up.” It is a system for arranging numbers.

Children can visualize ascending order means by picturing themselves climbing a ladder. The initial stage is number 1, and as the steps rise, they go higher from there. They can visualize the order in which the numbers would appear if they were on stairs as they arrange the numbers in ascending order.

Children can easily grasp the concept of ascending order with the help of the number line, which is a terrific visual aid.

Know How to Arrange Numbers in Ascending Order

We must compare the numbers in order to arrange them in any order. So that we can order them.

Having counters with numbers on them so that kids may move them around can be useful when they first start learning how to order numbers.


  • Determine how many digits each number has.
  • Since the lowest number is the one with the fewest digits, you should start by writing it down.
  • The greatest number, which is the one with the most digits, comes last.
  • The digits on the left should be compared first if the numbers have the same number of digits (in the thousands, hundreds, or tens column).
  • To compare the digits, keep sliding the numbers from left to right. Continue listing them in ascending order of least to largest.
  • Continue until all numbers have been ordered and none remain.

Negative numbers

At first look, it could appear a little perplexing, but listing negative numbers in ascending order is just like listing positive ones.

The value of the number decreases as the number increases after a negative sign. For instance, -73 is less than -5.

As a result, the two integers are -73 and -5 when put in ascending order.


Fractions are simple to arrange in ascending order. The fraction with the smallest denominator is used first when there are multiple fractions with the same denominator. When two fractions have the same numerator, the fraction with the biggest denominator wins.

The fraction with the largest denominator is the smallest when all the fractions have the same numerator. The pieces of the total are smaller the higher the denominator. 1/5, for instance, is smaller than 1/2. By having them focus on a separate wall, you can aid children in understanding this idea. You must change fractions so that they have the same denominator in order to arrange fractions with various numerators and denominators. Then, you can evaluate and arrange them.


Check to determine if the decimal includes a full number first. The smallest number is the one with the smallest entire number.

Compare the decimal part following the decimal point the same way you would when comparing whole numbers if the components of the full number are the same.

What Is an Example of Ascending Order?

Consider having the following whole numbers: 87, 3, 47, 150, 1743, and 574.

You must start by determining the smallest number in order to sort those numbers. The smallest size would be this. The last number in this situation is 3.

The next step is to determine the largest and longest number. That is 1743 in this instance.

Next, locate the subsequent smallest number. Given that these numbers are the least of the remaining numbers on the list, you can tell that it is either 47 or 87. Because 47 is less than 87, our list reads as follows: 3, 47, 87, X, X, 1743.

The final result is two digits. 150 and 574 are these. It is clear from glancing at the number in the hundreds column that 150 is less than 574. This enables us to position them correctly within the list.

The final list is as follows: 3, 47, 87, 150, 574, and 1743.

Sequencing numbers resources for teaching and learning

There are many materials available to help parents and teachers explain the ascending order means to kids. To get you started, take a look at some of our favorites.

Ordering Numbers 0-10 and 0-20 PowerPoint  Perfect for EYFS students.

Young children will benefit from this entertaining PowerPoint’s explanation of how to order numbers up to 20.

Year 3 Diving into Mastery: Order Fractions Teaching Pack

This thorough resource kit is perfect for introducing fractions in ascending sequence to Year 3 students. To aid kids in learning and applying their knowledge, it has PowerPoint slides and master worksheets.

Year 4 Diving into Mastery: Order Decimals Teaching Pack 

Utilize this wonderful resource bundle to aid in the fluency and reasoning development of your students as they relate to ordinal numbers. It’s a wonderful introduction to a procedure that initially could seem a little perplexing.

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