Ordinal number definition

What are Ordinal Numbers? Definition, List, Examples, Facts

What are Ordinal Numbers?

Numbers that are used to represent the rank or position of an object or a person are known as ordinal numbers. They are also referred to as positioning or ranking numbers.The sequence of ordinal numbers vary on the parameters that are based on the positions that are defined, such as weight, height, marks, size, etc. Such numbers are also known as ordinals.

How to Write Ordinal Numbers?

Ordinal numbers or ordinals are written using numerals as prefixes and adjectives as suffixes. 

For example, 1st, 2nd, 3rd, 4th, 5th, 6th, 7th, 8th and so on. We can easily identify an ordinal number: it talks about positioning.

So, if we were to say, “Bring me the bottle of jam that is lying on the 4th shelf.”, one would know that the ordinal number here is 4, which informs us about the position of the jam bottle.

The above picture shows different floors of a building. Here, we can use ordinal numbers to define the position of the floors.  

The numbers 1st (first), 2nd (second), 3rd (third), 4th (fourth), 5th (fifth), 6th (sixth), 7th (seventh), 8th (eighth), 9th (ninth) and 10th (tenth) tell us about the positions of various floors in the building. Therefore, all of them are the ordinal numbers. 

Applications of Ordinal Numbers

Ordinal numbers are a great way to talk about the order of something. For example, the order of dates. These numbers are only used when data is provided and the data is to be arranged in order.

For example: Someone who has performed well throughout the year may get the chance to be valedictorian. They would be first in line. But someone who performed well, but was unable to score as much as the person before in various tests and exams, may be second in line to be valedictorian. The person who has not performed well at all, has the least amount of chance. 

The picture given below shows some athletes competing in a 500-m race. We can also use ordinal numbers to define their positions in order to see who the winner and runners-up of the race are.  

Other examples of ordinal numbers are as follows:

• Jennifer always ranks 2nd in the class.

Here 2nd is the ordinal number that tells you about the position that Jennifer has secured.

• Jane is standing at the 5th place in the queue. 

Hereby the ordinal number is 5th, we understand Jane’s position in the queue.

• Jenny came 3rd in the race.

Here, 3rd is the ordinal number which tells you about the place that Jenny has secured in the race.

• The 10th table is reserved.

Here, the ordinal number 10th refers to the number of table reservations made.

Ordinal Numbers 1

Ordinal Numbers 51

Ordinal Numbers v. Cardinal Numbers

The type of  numbers that are used for counting the number of objects or persons are known as cardinal numbers. This type of numbers are used for representing the cardinality of the number of elements in a set.

Cardinality means to know about the number of elements in a set. 

Cardinal numbers can be the natural numbers that we use while we are counting like one, two, three, four, five and so on.

On the other hand, ordinal numbers are used to determine the rank or position of any object or person. We write ordinal numbers using numbers as prefixes and adjectives as suffixes. 

Let us understand the difference with the help of an example.

Some students were asked to collect marbles. 

Tom collected 1, Jane collected 2, and Clove collected 3 marbles. 

Here the numbers 1, 2, 3 are cardinal numbers as they represent the quantity of marbles. 

Now, the one who scores maximum wins. So, Clove stands 1st, Jane stands 2nd and Tom stands 3rd.

Here the numbers 1st, 2nd and 3rd are ordinal numbers as they represent the position of the students.

Ordinal Numbers v. Nominal Numbers

A set of numbers that are used for labeling certain items or places so that they can be identified easily are known as nominal numbers. Whenever we have to identify an object uniquely, we use nominal numbers. These numbers are not of much use because they are just going to give information about location and not about its quantity, quality, etc. Nominal numbers can be used as area codes, on number plates of vehicles, etc. Operations such as addition, subtraction, multiplication and division are meaningless on nominal numbers.

For example: In a phone number like 202 588-6500, the number is a nominal number. Even if we apply an operation, it will not give us anything meaningful. 

On the order hand, the ordinal numbers tell us about the rank or position of any object or person. 

For example: Sophia lives in the 34th house on San Pablo Avenue, California.

Fun Fact!

11, 12 and 13 are the only numbers to use a suffix ‘–th’ but all other numbers ending with 1 use ‘–st’, those ending with 2 use ‘–nd’ and those ending with 3 use ‘–rd’.

Solved Examples

Example 1: Which English alphabet is 12th from the beginning? 

Solution: The alphabet that is 12th from the beginning is L.  

Example 2: Kim, Kethy, Kiah and Kaina are sitting in the line in alphabetical order. What is the position of Kiah from the beginning? 

Solution: According to alphabetical order, the order in which they’re sitting would be: Kaina, Kethy, Kiah, Kim. So, Kiah is at the 3rd position. 

3. Christmas lies on the _____ of December. Solution: Christmas lies on the 25th of December.

Practice Problems

1

Which one of the following denotes an ordinal number?

The vehicle number of Sarah is KL23AB89.

There are 9 apples on the tree.

Catheline came 4th in the drawing competition.

None of these

Correct answer is: Catheline came 4th in the drawing competition.
In the option C, the number 4th is telling about the position of Catheline in the drawing competition.

2

How do you write 51 in ordinal numbers?

51

51st

51th

51rd

Correct answer is: 51st
The ordinal number for 51 for 51st.

3

In the word, “COMPENSATION”, which are the fourth and tenth letters?

M and O

M and N

P and I

E and O

Correct answer is: P and I
The fourth letter is P and the tenth letter is I.

Frequently Asked Questions

Is 0 an ordinal number?

No, we cannot write 0 as an ordinal number.

What are exceptional ordinal numbers?

Exceptional ordinal numbers are the ordinal numbers that do not end with -th. For example: 1st (first),  2nd (second), 3rd (third), etc.

Who invented ordinal numbers?

Ordinal numbers were invented by Georg Cantor in 1883.

Ordinal Numbers - Meaning, Examples

Ordinal numbers are the numbers that talk about the position of objects. For example, 'The cookies are kept in the 3^rd drawer from the top', 'The orange dress is the 7^th one from the right', 'The soccer ball is kept in the 3^rd carton from the left'. All these sentences have one thing in common - they talk about the positions of the objects. This is the main element in the discussion of ordinal numbers.

What are Ordinal Numbers?

An ordinal number is a number that indicates the position or order of something in relation to other numbers, like, first, second, third, and so on. This order or sequence may be according to the size, importance, or any chronology. Let us understand the ordinal numbers with an example. Ten students participated in a contest. Out of them, the top winners were given medals and were ranked as 1^st, 2^nd, and 3^rd. In this case, the positions: 1^st, 2^nd, and 3^rd are ordinal numbers.

Difference Between Cardinal and Ordinal Numbers

A cardinal number is a number that denotes the count of any object. Any natural number such as 1, 2, 3, etc., is referred to as a cardinal number, whereas, an ordinal number is a number that denotes the position or place of an object. For example, 1^st, 2^nd, 3^rd, 4^th, 5^th, etc. Now, if we say, 'There are 3 ants and 5 bears'. This is an example of cardinal numbers. However, if we say, 'The position of the runners in the running event is first, second, third, and so on', this represents ordinal numbers. Observe the table given below to note the difference between cardinal numbers and ordinal numbers.

List of Ordinal Numbers from 1 to 100

The list of ordinal numbers from 1 to 100 can be learned easily and is quite helpful for specifying the order of any given object. You can use the combinations from this list to find out the ordinal numbers from 100 onward. Observe the table given below in order to understand how ordinal numbers are written. You might be able to pick up a pattern after referring to the first twenty ordinal numbers.

Ordinal Numbers 1 to 20

Ordinal numbers from 1 to 20 are different from the rest. After the number 20, a repeated pattern of ordinal numbers can be observed. Ordinal numbers from 1 to 20 can be listed as follows. 1 - First, 2 - Second, 3 - Third, 4 - Fourth, 5 - Fifth, 6 - Sixth, 7 - Seventh, 8 - Eighth, 9 - Ninth, 10 - Tenth, 11 - Eleventh, 12 - Twelfth, 13 - Thirteenth, 14 - Fourteenth, 15 - Fifteenth, 16 - Sixteenth, 17 - Seventeenth, 18 - Eighteenth, 19 - Nineteenth, 20 - Twentieth.

☛ Related Topics

• Cardinal Numbers
• Ordinal Numbers Worksheets for Kindergarten
• Numbers
• Rational Numbers
• Prime Numbers
• Composite Numbers
• Even Numbers
• Odd Numbers
• Real Numbers
• Natural Numbers
• Irrational Numbers
• Counting Numbers

Ordinal Numbers Examples

1. Example 1: What is the 3rd letter in the word: SUMMERS?

   Solution:

   In the given word, SUMMERS, the first letter is 'S'. The second letter is 'U'. Similarly, we count the position of the letters in order, like, first, second, third, and so on which denotes ordinal numbers. So, we can see that the letter 'M' comes in the 3rd position. Therefore, the third letter in the given word is 'M'.

2. Example 2: Sam, Jenny, Mary, and Jack are standing in a queue in the given order. Who is in the fourth position?

   Solution:

   From the given information, we can say that: Sam is in the first place, Jenny is in the second place, Mary is in the third place, and Jack is in the fourth place. Therefore, Jack is standing in the fourth position. Here, 4th is an ordinal number because it denotes the position of Jack.

3. Example 3: State true or false with respect to ordinal numbers.

   a.) An ordinal number is a number that denotes the position or place of an object.

   b.) Ordinal numbers are written as 1^st, 2^nd, and 3^rd, and so on.

   Solution:

   a.) True, an ordinal number is a number that denotes the position or place of an object.

   b.) True, ordinal numbers are written as 1^st, 2^nd, and 3^rd, and so on.

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Practice Questions on Ordinal Numbers

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FAQs on Ordinal Numbers

What Does Ordinal Number mean?

Ordinal numbers are the numbers that specify the position of objects. For example, when we say that the books are kept on the 3^rd shelf, here 3rd is an ordinal number. Similarly, first, second, twentieth, fiftieth, and so on are ordinal numbers.

What is the Difference Between Cardinal and Ordinal Numbers?

Cardinal numbers denote the count of any object. For example, natural numbers like 1, 2 3, and so on are cardinal numbers. On the other hand, ordinal numbers denote the position or place of an object. For example, 1^st, 2^nd, 3^rd, 4^th, 5^th, and so on, are ordinal numbers.

How to Write Dates with Ordinal Numbers?

Ordinal numbers are used to mention the dates in English. For example, if we need to write the date of Christmas, we write the month and then the ordinal number of the day. In this case, we say that Christmas is on December 25th. Here, 25th is an ordinal number.

Is Zero an Ordinal Number?

No, 0 cannot be considered an ordinal number. Specifying the position of anything as 0^th or zeroth does not give a logical explanation.

How to Write Ordinal Numbers?

Ordinal numbers have a suffix added at the end. They can be written as first, second, third, and so on when expressed in words. When ordinal numbers are expressed as numerals, the last two letters of the words are added to the respective numbers, like, 1^st, 2^nd, 3^rd, 4^th, and so on.

Why do we use Ordinal Numbers?

We use ordinal numbers for specifying the position or order of something. For example, the pens are kept in the 3^rd drawer from the top, or, Ria stays on the second floor of the apartment. Here, the respective numbers specify the position or order of the object or people, whatever the case may be.

What are Ordinal Numbers From 1 to 10?

The ordinal numbers from 1 to 10 are as follows: 1st: First, 2nd: Second, 3rd: Third, 4th: Fourth, 5th: Fifth, 6th: Sixth, 7th: Seventh, 8th: Eighth, 9th: Ninth, and 10th: Tenth.

What is the Ordinal Number of 1?

The ordinal of 1 is written as First. In the numeral form, it is represented as 1^st.

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Worksheets on Ordinal Numbers

Serial number - element - The Big Encyclopedia of Oil and Gas, article, page 2

Page 2

The element's serial number indicates the charge of the nucleus and the number of electrons surrounding the nucleus. [16]

The serial number of the element corresponds to the number of the convective heat exchanger - along the gas flow, and the value corresponds to the number in the design scheme along the working medium flow. For a steam-steam heat exchanger, the number of the heat exchanger located in front of it along the secondary steam is set. [17]

The serial number of the element in the periodic system of elements of D. I. Mendeleev shows the charge of the nucleus and the number of electrons in the atom. The serial number of iron is 27, therefore, there are Z 27 electrons in one iron atom. Let us determine the number of electrons in 1 cm3 of iron. [18]

Item number is put down on the leader line shelf. Under the shelf indicate the main characteristics and parameters of the kinematic element. [20]

Model pro. [21]

The element number corresponds to the positive charge of the nucleus and the number of electrons in its shell. [22]

The element number corresponds to the positive charge of the nucleus and the number of electrons in its shell. [23]

The serial number of the element Z in the periodic table indicates the number of protons in the nucleus and the total number of electrons in the atom. [24]

The sequence number of the sample element in the ordered series is called the rank. [25]

The term element number was first coined by the English chemist John Newlands in 1875. Initially, element number had nothing to do with Mendeleev's Periodic Table. The term atomic number of an element appeared later - in 1913 AD The English physicist Ernest Rutherford persistently introduced it into use instead of the ordinal number. Which of these terms should be preferred? [26]

The term element atomic number was first introduced by the English chemist John Newlands in 1875. At first, the element atomic number had nothing to do with Mendeleev's Periodic System. introduced it into use instead of a serial number Which of these terms should be preferred9What is the physical meaning of the element's ordinal number. [27]

Determine the ordinal numbers of array elements M and N, the values ​​of which are calculated by this program. [28]

Determine the ordinal numbers of the array elements m, the values ​​of which are calculated by this program. [29]

Determine the ordinal numbers of the array elements / C, the values ​​of which are calculated by this program. [30]

Pages: one 2 3 four

Serial number - letter - The Great Encyclopedia of Oil and Gas, article, page 1

Page 1

Serial numbers of letters are also arranged in ascending order, but may not form a continuous sequence. [1]

In the designation of engines: the first digit is 2 - , the serial number of the letter is ; A - asynchronous; 3 - closed ventilation system; M - with normal starting torque; B - explosion-proof shell; number 1 - plain bearings; followed by power, kW, and voltage, V. [2]

1 is added to the remainder of the division: the resulting value is the ordinal number of the key letter in the accepted alphabetical sequence. [3]

Thus, in the values ​​of the elements, the state of the internal memory, symbols are present as ordinal numbers of letters of some alphabet, given as a string. [4]

To encrypt alphabetic messages, you must first replace the characters of the alphabet with their digital equivalents, which can be ordinal number of the letter in the alphabet. [6]

Let's agree that the increase in the number of power heads in the position will change from A to G, if the number of heads is assigned to the ordinal number of letters of the alphabet . [7]

Strictly speaking, we should have denoted the above three words not by letters, but by numbers, well, at least serial numbers of letters of the alphabet . The relevance of such a cipher is explained by the fact that, as mentioned above, HLA antigens are usually denoted not by letters, but by numbers. But even this approximation would suffer from a significant inaccuracy: in the genetic code, antigens of tissue compatibility are not repeated, the same figure does not occur twice in one person. In this case, in a word of ten letters, one letter would be repeated twice, and both of them would certainly stand side by side. [8]

Second, if more than nine positions are to be inserted in a row, alphabetic characters can be used, with each letter representing a number equal to , the index number of the letter in the alphabet, multiplied by five. [9]

An uppercase Russian letter after the model number indicates that the instrument has been upgraded. The serial number of the letter in the alphabet corresponds to the number of upgrades. [10]

A capital Russian letter after the model number indicates that the instrument has been upgraded. The serial number of the letter in the alphabet corresponds to the number of upgrades. The letter T indicates that the device is intended for operation in a tropical climate. When upgrading such devices, the letter T is placed after the letter of modernization. [11]

We now put the question of codes in a slightly more general form. It can be assumed that the code combination depicts the serial number of the letter or, in general, some number conditionally assigned to this letter. With this formulation of the question, the code combination is identified with a certain number, and the elements of the code are identified with the numbers by which the number is written. [12]

It is known that letters of the Greek alphabet are widely used in mathematics, physics and other exact sciences to designate various quantities. Let's write a program that will make it easier for the user to remember the names of these letters and their order in the alphabet.

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