BrightChamps Logo
Login

Summarize this article:

Live Math Learners Count Icon256 Learners

Last updated on December 2, 2025

Ordinal Numbers

Professor Greenline Explaining Math Concepts

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.

Professor Greenline from BrightChamps

What are Ordinal Numbers?

YouTube thumbnail
What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math

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.

Professor Greenline from BrightChamps

How to Write and Use Ordinal Numbers?

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.

 

  • We use “-st” for numbers ending in 1, such as 1st, 21st, and 31st. However, this does not apply to numbers ending in 11.

 

  • Use ‘-nd’ for numbers ending with 2, except for numbers like 12, 112, 212, etc.

 

  • Use ‘-rd’ for numbers ending in 3 (e.g., 3rd, 23rd, 33rd)

 

  • Use ‘-th’ for all other numbers (e.g., 4th, 5th, 6th, 11th, 12th, 13th)
     
Professor Greenline from BrightChamps

List of Ordinal Numbers 1 to 100

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 :
 

Explore Our Programs

Grade 1
arrow-left
arrow-right
Professor Greenline from BrightChamps

Difference Between Cardinal and Ordinal Numbers

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.

 

Professor Greenline from BrightChamps

Difference Between Ordinal and Nominal Numbers

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.

 

Professor Greenline from BrightChamps

Tips and Tricks to Master Ordinal Numbers

Given below are some tips and tricks to easily remember and learn ordinal numbers. 

 

  • The suffix pattern always have exceptions. While most ordinal numbers take -st, -nd, -rd or -th depending on the ending digit like 1st, 2nd, 3rd and so on, there are exceptions like 11th, 12th, 13th, where, always -th is used even if they end in 1, 2, 3, and so on.
     
  • Instead of just looking at the final digit, sometimes look at the last 2 digits to decide the suffix. For example, 112th and 12th. 
     
  • To learn easily, make flash cards for numbers like 11, 12, 13, 21, 22, 23, 101, 111, etc. 
     
  • Say out loud while learning. Speaking helps stick up the correct suffix in your mind.  
     
  • Practice with real examples like applying ordinal numbers to dates, floor buildings, ranks, etc. for example, 31st December, 4th floor and 3rd rank. 
     
  • Use fun real-world activities, like lining up toys or students and asking who is 1st or who is 2nd? This makes learning more practical and enjoyable. 
     
  • Parents and teachers can intentionally incorporate ordinal numbers in daily routine or conversations like “your seat is in the 2nd row”, or “bring the book from the 3rd row of the shelf”, to help students learn ordinal numbers naturally. 
     
  • Use visual tools like posters, number lines, medals, or objects placed to help students visually learn the concept of ordinal numbers.
     
  • Encourage students to use ordinal forms when stating dates, such as “today is the 5th of March” or “tomorrow is the 2nd Saturday of the month”.
     
  • Parents and teachers can use technology and interactive online tools, such as quiz pages, ordinal-number worksheets, or online games, to make the learning process more engaging and playful.
Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in 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:
 

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Incorrect Application of Suffix
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

A common mistake is adding incorrect suffixes to cardinal numbers.
For example, 31th (incorrect), 31st (correct)
Note that numbers ending in 1, 2, and 3 always take suffixes -st, -nd, and -rd accordingly.

Mistake 2

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Spelling Errors in Ordinal Numbers
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

They may misspell when writing the ordinal numbers.
For example, forthieth, twelveth, nineth (incorrect)
Spot your spelling errors and learn the correct spellings of such numbers.
For example, fortieth, twelfth, ninth (correct).
 

Mistake 3

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Incorrect Shortened Format
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

In some cases, students write the wrong ordinal numbers like 1nd, 2st and 3th.
Ensure that you write the correct suffixes like 1st, 2nd and 3rd, to avoid inaccuracy.
 

Mistake 4

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Confusion between Ordinal Numbers and Cardinal Numbers
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Students often confuse the terms 'cardinal' and 'ordinal'.
Remember, the cardinal numbers are used to represent the count of something, whereas, ordinal numbers represent the position of an element. For example, 1st, 2nd, and 3rd.

Mistake 5

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Overlooking the Exceptions
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Students often forget the special cases in the ordinal numbers.
For example, 11th, 12nd, and 13rd (incorrect), 12th, 13th (correct).
Use -st, -nd, -rd for numbers ending in 1, 2, and 3, except for 11, 12, and 13, which use -th.

arrow-left
arrow-right
Professor Greenline from BrightChamps

Real-Life Applications of Ordinal Numbers

Ordinal numbers are largely utilized in representing the position, rank, or order of things. Here are a few real-life applications of ordinal numbers:

 

 

  • Winners in competitions: Ordinal numbers are used to indicate the exact positions of winners in a competition. For example, 1st place, 2nd place, and 3rd place.

 

  • Dates: We use ordinal numbers to denote dates. For example, New Year's Eve is celebrated on December 31st.

 

  • Floors in buildings: The precise location, such as mentioning the specific floor where someone is, can be expressed using ordinal numbers. For example, "Ann is on the 4th floor."

 

  • Chapters in books: Ordinal numbers show which chapter a reader is on. For example, the teacher is in the 6th chapter.

 

  • Addresses: We use ordinal numbers in specifying precise locations. For example, we use ordinal numbers in addresses, such as: "Ben lives on 2nd Avenue."
Max from BrightChamps Saying "Hey"
Hey!

Solved Examples of Ordinal Numbers

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

In a 200-meter race, Sam finished after three other runners. What is Sam’s position?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"
Okay, lets begin

4th place.
 

Explanation

 Since Sam finished after three other runners, we can conclude that he is in 4th place.
 

Max from BrightChamps Praising Clear Math Explanations
Well explained 👍
Max, the Girl Character from BrightChamps

Problem 2

Juan turns 12 this week. How should he write it in ordinal form?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"
Okay, lets begin

12th birthday.
 

Explanation

The ordinal form of 12 is 12th. So, we write, Juan is celebrating his 12th birthday this week.

Max from BrightChamps Praising Clear Math Explanations
Well explained 👍
Max, the Girl Character from BrightChamps

Problem 3

Leona lives five floors above the first floor. Write the ordinal form for her floor.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"
Okay, lets begin

6th floor.
 

Explanation

Since the ground floor is considered the first floor, Leona is on the 6th floor.

Max from BrightChamps Praising Clear Math Explanations
Well explained 👍
Max, the Girl Character from BrightChamps

Problem 4

Aldo holds the rank of number 2 in his school. How should we express this in ordinal form?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"
Okay, lets begin

2nd rank.
 

Explanation

We write the number 2 in ordinal form as 2nd, so we say: Aldo holds the 2nd rank in his school.
 

Max from BrightChamps Praising Clear Math Explanations
Well explained 👍
Max, the Girl Character from BrightChamps

Problem 5

Ben, Jake, Peter, and Rio are the top four students in the class respectively. How should we express their positions in ordinal form?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"
Okay, lets begin

Ben secured 1st place, Jake 2nd, Peter 3rd, and Rio 4th, representing their positions in ordinal form.

Explanation

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.
 

Max from BrightChamps Praising Clear Math Explanations
Well explained 👍
Ray Thinking Deeply About Math Problems

FAQs on Ordinal Numbers

1.What are ordinal numbers?

Ordinal numbers are used to represent the rank of people or objects. For example, 1st, 2nd, 3rd, etc.
 

Math FAQ Answers Dropdown Arrow

2.What is the ordinal number for 15?

The ordinal number is 15th.
 

Math FAQ Answers Dropdown Arrow

3.Give one major difference between cardinal numbers and ordinal numbers.

Cardinal numbers indicate the count or quantity of elements in a sequence (e.g., 1, 2, 3, 4). Whereas ordinal numbers are used to indicate the exact position or rank of something (e.g., 1st, 2nd, 3rd, 4th).
 

Math FAQ Answers Dropdown Arrow

4.Give one common real-life example of ordinal numbers.

We use ordinal numbers to indicate the position, such as 1st place, 2nd place, etc. 

Math FAQ Answers Dropdown Arrow
Math Teacher Background Image
Math Teacher Image

Hiralee Lalitkumar Makwana

About the Author

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.

Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
UAE - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom