Cardinal Numbers

What are Cardinal Numbers? 

Cardinal numbers are used for counting purposes. They are also referred to as cardinal numbers or natural numbers. A sequence of cardinal numbers begins with 1 and extends to infinity. To answer the query “how many?”, cardinal numerals are utilized. For instance, how many pupils will attend the school picnic? The possible responses include 20, 23, 30, etc. Therefore, these numbers fall within the category of cardinal numbers. This article will delve into the topic of cardinal numbers and explain the distinction between cardinal and ordinal numbers.

What are Cardinal Numbers?

A cardinal number denotes or expresses the quantity of something. Two fruits, five flowers, etc. It quantifies an object. It does not have values as fractions or decimals. Cardinal numbers are counting numbers; they facilitate the counting of objects. Let’s examine some examples of cardinal numbers. Marry desires to determine the number of individuals in a billing counter wait. Can you help her? Ana began counting with Natural numbers.

Marry was worth 1, 2, 3, 4, and 5. There are five persons waiting in line at the cash register. Cardinal numerals are counting numbers! Now, take another illustration: Noah stored eight apples in a basket. The number eight indicates the number of apples in the basket, regardless of their arrangement.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, etc. are examples of cardinal numbers. As 0 is not used for counting, it is not a cardinal number, hence 1 is the smallest cardinal number.

Difference Between Cardinal and Ordinal Numbers

Each of the natural numbers is sometimes known as a cardinal number. We utilize cardinal numbers for counting. Ordinal numbers, on the other hand, indicate the position or location of an object. First, second, third, fourth, fifth, etc. Use of ordinal numerals for ranking. This example illustrates cardinal and ordinal numbers:

In the image above, four construction workers are visible on the job site. This exemplifies cardinal numerals.

In the image above, the positions of the runners in the race are depicted. First, then second, then third, etc. This exemplifies ordinal numerals. Let’s examine the distinctions between ordinal and cardinal numbers in the table below.

Difference Between Cardinal Numbers and Ordinal Numbers

Cardinal numbers and ordinal numbers are different. Ordinals are numbers that show where something is in a list. When a list has more than one thing on it, ordinal numbers show the order of the things. The words “first,” “second,” “third,” “fourth,” “fifth,” “sixth,” and so on are used to show the order of something.

Cardinal Numbers	Ordinal Numbers
They are counting numbers that represent quantity.	They are based on the rank or position of an object in a given list or order.
Cardinal numbers give us the answer of ‘how many?’.	Ordinal numbers give us the answer of ‘where’. For instance, where does the object lies in the list?
Examples are 1, 2, 3, 4, 5, 10, etc.	Examples are 1st, 2nd, 3rd, 4th, 5th, 10th, etc.

List of Cardinal Numbers from 1 to 100

Listed here are the most basic and important cardinal numbers, which serve as the foundation for all other counting numbers.

1 – One	10 – Ten
2 – Two	20 – Twenty
3 – Three	30 – Thirty
4 – Four	40 – Forty
5 – Five	50 – Fifty
6 – Six	60 – Sixty
7 – Seven	70 – Seventy
8 – Eight	80 – Eighty
9 – Nine	90 – Ninety
10 – Ten	100 – Hundred

Here’s a list of all of the cardinal numbers, from 1 to 100. It will also show you how to write numbers like 21 (twenty-one) in words.

1 = One	2 = Two
3 = Three	4 = Four
5 = Five	6 = Six
7 = Seven	8 = Eight
9 = Nine	10 = Ten
11 = Eleven	12 = Twelve
13 = Thirteen	14 = Fourteen
15 = Fifteen	16 = Sixteen
17 = Seventeen	18 = Eighteen
19 = Nineteen	20 = Twenty
21 = Twenty-one	22 = Twenty-two
23 = Twenty-three	24 = Twenty-four
25 = Twenty-five	26 = Twenty-six
27 = Twenty-seven	28 = Twenty-eight
29 = Twenty-nine	30 = Thirty
31 = Thirty-one	32 = Thirty-two
33 = Thirty-three	34 = Thirty-four
35 = Thirty-five	36 = Thirty-six
37 = Thirty-seven	38 = Thirty-eight
39 = Thirty-nine	40 = Forty
41 = Forty-one	42 = Forty-two
43 = Forty-three	44 = Forty-four
45 = Forty-five	46 = Forty-six
47 = Forty-seven	48 = Forty-eight
49 = Forty-nine	50 = Fifty
51 = Fifty-one	52 = Fifty-two
53 = Fifty-three	54 = Fifty-four
55 = Fifty-five	56 = Fifty-six
57 = Fifty-seven	58 = Fifty-eight
59 = Fifty-nine	60 = Sixty
61 = Sixty-one	62 = Sixty-two
63 = Sixty-three	64 = Sixty-four
65 = Sixty-five	66 = Sixty-six
67 = Sixty-seven	68 = Sixty-eight
69 = Sixty-nine	70 = Seventy
71 = Seventy-one	72 = Seventy-two
73 = Seventy-three	74 = Seventy-four
75 = Seventy-five	76 = Seventy-six
77 = Seventy-seven	78 = Seventy-eight
79 = Seventy-nine	80 = Eighty
81 = Eighty-one	82 = Eighty-two
83 = Eighty-three	84 = Eighty-four
85 = Eighty-five	86 = Eighty-six
87 = Eighty-seven	88 = Eighty-eight
89 = Eighty-nine	90 = Ninety
91 = Ninety-one	92 = Ninety-two
93 = Ninety-three	94 = Ninety-four
95 = Ninety-five	96 = Ninety-six
97 = Ninety-seven	98 = Ninety-eight
99 = Ninety-nine	100 = One hundred

Cardinal Numbers in Multiples of 10

Another set of cardinal numbers is given below, representing the multiples of 10.

10 – Ten	60 – Sixty
20 – Twenty	70 – Seventy
30 – Thirty	80 – Eighty
40 – Forty	90 – Ninety
50 – Fifty	100 – Hundred

Cardinal Numbers of a Set

The cardinal number of a set is the total number of its elements. In other terms, the cardinal number of a set is the number of different components within it. The cardinal number of a set A is denoted by the symbol n. (A). For example, the cardinal number of the set W = [1, 3, 5, 7, 9] is n(W) = 5, as it contains five entries.

Cardinality

The cardinality of a group (set) tells how many objects or terms are there in that set or group.

Example: What is the cardinality of the flowers in the vase?

Here, there are 5 flowers in the vase. Therefore, the cardinality of flowers is 5. 

Important Points :

• Cardinal numbers enable us to count the number of objects or individuals in or around a certain location or group.
• The cardinal number represents the collection of all ordinal numbers.
• One, two, and so on can be written as words for cardinal numbers.
• Ordinal numbers indicate place or ranking, whereas cardinal numbers indicate quantity.

Facts : 

• Cardinal numbers are also called counting numbers and natural numbers
• All the cardinal numbers can be written in words
• A group of ordinal numbers can be represented by cardinal numbers
• Cardinal numbers are always used to count and are stated by ‘how many’
• Fractions and decimals are not cardinal numbers
• Zero (0) is not a cardinal number, since it means nothing
• The cardinality of a set represents how many objects or elements are there in the set

Other Related Articles : 

Explore the following articles to learn more about cardinal numbers and their associated topics.

Ordinal Numbers

Whole Numbers

Natural Numbers

Difference Between Natural and Whole Numbers

Cardinal Numbers Examples : 

Example 1: Monty has a list of numbers as shown – 6, 9th, 11, Two, Fourth, and 2nd. Identify the cardinal numbers.

Solution: 6, 11 and two help us in counting, whereas 9th, fourth and 2nd help us in identifying the position. Thus, 6, 11, and two are cardinal numbers.

Example 2: Help Rony, to calculate the number of vowels in “NUMBERS“. Also, identify the number of alphabets used to form this word.

Solution:

(i) We know that a, e, i, o, and u are the vowels and in the given word u and e are used. Therefore, 2 vowels are used to form this number (2 is the required cardinal number).

(ii) We start counting from N to S, and we see that “Numbers” has 7 alphabets in all. Therefore, a total of 7 alphabets are required to form the given word and here 7 is a cardinal number.

FAQs ( Frequently Asked Questions) on Cardinal Numbers