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256 LearnersLast updated on December 2, 2025

We often say phrases like “the book is on the 4th shelf”, “she finished in 2nd place in the race”, and so on. These phrases highlight the position of an item in a sequence relative to others. In mathematics, this position, rank, or order is described using ordinal numbers. In this article, let us explore what ordinal numbers are, the difference between cardinal and ordinal numbers, and a few examples.

An ordinal number tells the order of things and helps in representing an object’s rank or position in relation to other objects. The order can be based on size, preference, time, importance, or any sequence that compares objects. For example, the rank of students in a class can be described as 1st, 2nd, and 3rd. These are ordinal numbers because they describe positions.
Ordinal Numbers Definition
Ordinal numbers are numbers that indicate the position, order, or rank of objects or people in a list or sequence. They show where something stands rather than how many there are. Examples include 1st, 2nd, 3rd, 4th, and so on.
What is Ordinality?
The term ordinality refers to the position or rank of an object in a sequence. Ordinality determines the order in which something is placed in a list or sequence. For example, the order of the numbers in the set {1, 2, 3, 4} is first, second, third, and fourth.
Do not confuse this with cardinality, which indicates the size or quantity of objects in a sequence.
To write ordinal numbers, add the appropriate suffix to the base cardinal number . The most commonly used suffixes are -st, -nd, -rd, or th, based on the number.
It often follows the form:
Ordinal Number = Cardinal Number + Suffix
For example, 2 + nd = 2nd.
Learning about ordinal numbers from 1 to 100 can help you understand the position of different elements in a sequence. Ordinal numbers generally follow a predictable suffix pattern, especially from 1 to 20. Here’s a list of ordinal numbers from 1 to 100 :


Numbers can be used not only to count objects, but also to show their position in a sequence. To differentiate these purposes, two types of numbers are used in mathematics, namely, ordinal numbers and cardinal numbers. While cardinal numbers tell us how many objects there are, ordinal numbers tell us which position an object holds in an ordered list. The following table shows the significant differences between cardinal and ordinal numbers.
| Cardinal Numbers |
Ordinal Numbers |
|---|---|
| Cardinal numbers represent the count or quantity of items and tell us how many objects or items are present. | Ordinal numbers represent the order of items in a set. It tells the position, rank or order of objects in a list or sequence. |
|
Examples are 1, 2, 3, 4, 5, …. |
Examples are 1st, 2nd, 3rd, 4th, 5th, etc. |
| It focuses on the question of how many are there? | It focuses on the question, which one is it? |
| Here order is not important, the numbers can be arranged in any order. That is 5 apples are still 5 in number, no matter how they are arranged. |
Here, the order is very important. 1st place differs a lot from the value of 2nd place. |
|
Usage of suffixes are not needed in cardinal numbers. |
Suffixes are integral in ordinal numbers such as st, nd, rd, and th. for example, 1st, 2nd, 3rd, 4th, and so on. |
|
Used in arithmetic operations like addition, subtraction, multiplication, etc. |
Generally not used for mathematical operations, mostly for labeling order. |
|
In words, they are represented as one, two, three, four, etc. |
In words, they are represented as first, second, third, fourth, etc. |
Ordinal numbers and nominal numbers are two distinct concepts used to identify objects and show their position in an ordered group. The following table shows the differences between ordinal and nominal numbers.
| Ordinal Numbers | Nominal Numbers |
|---|---|
| Numbers that show the position or rank of objects in an ordered set. | Numbers or codes used to label, name, or identify objects without implying order. |
| It is used to show order, ranking, or sequence. | It is used to categorize or identify without any order. |
| Examples of its uses are 1st or 2nd place in a race, 5th page of a book, etc. | Examples include players' jersey numbers, PIN codes, bus numbers, and house numbers. |
| Order is meaningful and important in ordinal numbers. | Order does not matter in nominal numbers. |
| Cannot perform arithmetic operations like addition and subtraction on them meaningfully. | It cannot be used for arithmetic operations, either. |
Given below are some tips and tricks to easily remember and learn ordinal numbers.
Students often make mistakes when trying to position, rank, or label objects. Here are a few common mistakes and ways to avoid them:
Ordinal numbers are largely utilized in representing the position, rank, or order of things. Here are a few real-life applications of ordinal numbers:
In a 200-meter race, Sam finished after three other runners. What is Sam’s position?
4th place.
Since Sam finished after three other runners, we can conclude that he is in 4th place.
Juan turns 12 this week. How should he write it in ordinal form?
12th birthday.
The ordinal form of 12 is 12th. So, we write, Juan is celebrating his 12th birthday this week.
Leona lives five floors above the first floor. Write the ordinal form for her floor.
6th floor.
Since the ground floor is considered the first floor, Leona is on the 6th floor.
Aldo holds the rank of number 2 in his school. How should we express this in ordinal form?
2nd rank.
We write the number 2 in ordinal form as 2nd, so we say: Aldo holds the 2nd rank in his school.
Ben, Jake, Peter, and Rio are the top four students in the class respectively. How should we express their positions in ordinal form?
Ben secured 1st place, Jake 2nd, Peter 3rd, and Rio 4th, representing their positions in ordinal form.
The top four cardinal numbers are 1, 2, 3, and 4. So to express them in ordinal form, we add suffixes based on the number’s ending digit.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.






