Cardinal Numbers

The cardinal numbers are the numbers which are used for counting of something. These are also said to be cardinals. The meaning of cardinals is ‘how many’ of anything is existing in a group. Like if we want to count the number of apples present in the basket, you have to make use of these numbers, such as 1, 2, 3, 4, 5….and so on. The numbers which help us to count the number of things or people present in a place or a group. Basically, the cardinal numbers denote the collection of all the ordinal numbers.

Examples:

  1. There are 6 clothes in the cupboard.
  2. 4 cars are driving in a lane.
  3. Anusha has 2 dogs and 1 cat as pets in her house.

In the above three examples, number 6, number 4 and number 2 and 1 are the cardinal numbers. So basically it denotes the quantity of something, irrespective of their order. It defines the measure of the size of a set but does not take account of the order.

The set of finite numbers are the natural numbers which define the cardinality. Whereas the set of infinite cardinals describes the size of infinite sets. The cardinals don’t have any fractions or decimals, they have only counting numbers.

Cardinal Numbers List

As we already discussed, the numbers which can be counted are the cardinals. It means all the natural numbers come in this category. Therefore, we can write the list of cardinal numbers as;

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, ……, 50, 51, 52, 53, 54, …., 99, 100, 101, 102, 103, 104, 105, ……, 999, 1000,…..,∞

So, with the help of these numbers given in the table above, we can define the counting of the objects or persons or animals or anything, which are countable.

Ordinal Numbers

The ordinal numbers are the numbers which denote the position of something. If a number of objects are mentioned in a list, the order of the objects is defined by ordinal numbers. The adjective terms which are used to denote the order of something are 1st, 2nd, 3rd, 4th, 5th, 6th, and so on.

Examples:

  1. Anil came to 3rd position in a running competition.
  2. The 6th chair is broken in a hall.

Cardinal and Ordinal Numbers Chart

Let us create a chart table where we will write the cardinal numbers and equivalent ordinal numbers.

Cardinals

Ordinals

Cardinals

Ordinals

1, One

1st, First

11, Eleven

11th, Eleventh

2, Two

2nd, Second

12, Twelve

12th, Twelfth

3, Three

3rd, Third

13, Thirteen

13th, Thirteenth

4, Four

4th, Fourth

14, Fourteen

14th, Fourteenth

5, Five

5th, Fifth

15, Fifteen

15th, Fifteenth

6, Six

6th, Sixth

16, Sixteen

16th, Sixteenth

7, Seven

7th, Seventh

17, Seventeen

17th, Seventeenth

8, Eight

8th, Eighth

18, Eighteen

18th, Eighteenth

9, Nine

9th, Ninth

19, Nineteen

19th, Nineteenth

10, Ten

10th, Tenth

20, Twenty

20th, Twentieth

After 20, the denotation or pattern of Ordinal numbers changes as;

21, Twenty-One

21st, Twenty-First

26, Twenty Six

26th, Twenty-Sixth

22, Twenty-two

22nd, Twenty-second

27, Twenty Seven

27th, Twenty-Seventh

23, Twenty-three

23rd, Twenty-third

28, Twenty Eight

28th, Twenty-Eighth

24, Twenty-four

24th, Twenty-fourth

29, Twenty Nine

29th, Twenty-Ninth

25, Twenty-five

25th, Twenty-fifth

30, Thirty

30th, Thirtieth

In the same way, we can write the numbers till infinity following the same order, after 30 or 30th.

To practice, students can write the ordinals after numbers such as 40, 50, 60, 70, 90, 100, as per given below;

Cardinals

Ordinals

40, Forty

40th, Fortieth

50, Fifty

50th, Fiftieth

60, Sixty

60th, Sixtieth

70, Seventy

70th, Seventieth

80, Eighty

80th, Eightieth

90, Ninety

90th, Ninetieth

100, Hundred

100th, Hundredth

Nominal Numbers

The nominal numbers are used to name an object or a thing in a set of group.It is used for identification of something, but not as a value of a quantity or position of an object.

Examples:

  1. Model numbers of Vehicles.
  2. Pincodes of various cities
  3. The number mentioned on the jersey of a player.

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