# Cardinal Numbers

Cardinal Numbers
Go back toÂ  'Numbers'

In this mini-lesson, we will explore the world ofÂ cardinal numbers and understand the differenceÂ between cardinal and ordinal numbers.Â

Tap on the arrow keys in the simulation below.

What do you see?

A panda climbing up /Â down on the steps?

The number of steps the panda climbs is represented by the cardinal number.

The position of the panda on the step (1st, 2nd, 3rd, 4th, 5th.. so on) is represented by the ordinal number.

Do you also want to know more about ordinal and cardinal numbers?

## What areÂ Cardinal Numbers?

AÂ Cardinal Number describes or representsÂ how many of something areÂ present. Example two apples, 5 flowers, etc. It quantifies an object.

It does not have values asÂ fractions or decimals.

Cardinal numbers are counting numbers, they help to count the number of items.

Let's have a look at cardinal numbers examples.

Â Ana wants to count the number of people standing in a queue at a billing counter.Â Can you help her?

Ana started to countÂ using Natural numbers.

Ana counted 1, 2, 3, 4, and 5

There are 5 people standing in a queue at the billing counter.

Counting numbers are cardinal numbers!

Now, Let's consider another example,

Noah kept eight applesÂ in a basket.

The numberÂ eight denotesÂ how many apples are there in the basket, irrespective of their order.

## What Is the Difference Between Cardinal and Ordinal Numbers?

Any natural number such as 1, 2, 3, etc, is referredÂ as a cardinal number.

Cardinal numbers are used for counting.

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

Example: 1st, 2nd, 3rd, 4th, 5th, etc.

Ordinal numbers are used for ranking.

Here is an example which explains Cardinal and Ordinal Numbers:

In the above image, we can see aÂ team of 5 workersÂ on the construction site.

This is an example of cardinalÂ numbers.

In the above image, we can see the position of the runners in the running event.

First, second, third, and so on.

This is an example of ordinal numbers.

We'll discuss more of ordinal and cardinal numbers examples in the sections below.

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Think Tank
1. Maria wrote January 1, 2020, as todayâ€™s date in her notebook. Does the number 1 in the date, represent a cardinal number?
2. There are _______Â people in the line ahead of me. I am the 7thÂ person in the line.

## List of Cardinal Numbers from 1 to 100

Given below are the basic and most important cardinal numbers, which formÂ the base for other counting numbers.

 1 - One 6 - Six 2 - Two 7 - Seven 3 - Three 8 - Eight 4 - Four 9 - Nine 5 - Five 10 - Ten

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

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Important Notes
• Cardinal numbersÂ help us to count the number of things or peopleÂ in or around a place or a group.
• The collection of all the ordinal numbers can beÂ denoted by the cardinal.
• CardinalÂ numbers can be written as words such as one, two, three etc.
• Cardinal numbers tell how many items, whereas ordinal numbers show position or ranking.

## Solved Examples

 Example 1

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Kate has a list of numbers as shown.

Identify the cardinal numbers.

Solution

7, 10 and two help us in counting,Â whereas 8th, fourth and 2nd helps us in identifying the position.

Thus, 7, 10, and two are cardinal numbers.

 $$\therefore$$ 7, 10 and two are cardinal numbers.Â
 Example 2

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Help Ryan,Â to calculate the number of vowelsÂ in "NUMBERS"

Also, identify the number of alphabets used to form this word.

Solution

(i)Â We know that a, e, i, o, and u are the vowels and in the given wordÂ u and e are used.

$$\therefore$$ 2 vowels are used to form this number

(ii)Â Â We start counting from N to S,Â we see that "Numbers" has 7 alphabets in all.

 $$\therefore$$ Vowels =Â 2, total alphabets =Â 7
 Example 3

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Look at the picture below.

How many parking slots are occupied? IsÂ your answer a cardinal number or ordinal number?

Solution

6 parking slots are occupied.

6 is a cardinal number.

 $$\therefore$$ 6 parking slots are occupied. 6 is a cardinal number.

## Interactive Questions

Here are a few activities for you to practice. Select/Type your answer and click the "Check Answer" button to see the result.

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## Let's Summarize

The mini-lesson targeted in the fascinating concept of cardinal numbers. The math journey around cardinal numbers starts with what a student already knows, and goes on to creatively crafting a fresh concept in the young minds. Done in a way that not only it is relatable and easy to grasp, but also will stay with them forever. Here lies the magic with Cuemath.

At Cuemath, our team of math experts is dedicated to making learning fun for our favorite readers, the students!

Through an interactive and engaging learning-teaching-learning approach, the teachers explore all angles of a topic.

Be it worksheets, online classes, doubt sessions, or any other form of relation, itâ€™s the logical thinking and smart learning approach that we at Cuemath believe in.

## 1.Â Is zero aÂ cardinal number?

Zero is not a cardinal number. Since zero means nothing, it represents or describes no quantity or set.

## 2.Â Is 19 a cardinal number?

Yes, 19 is a cardinal number.

## 3.Â What is the biggest cardinal number?

There are infinite natural numbers. Therefore, there are as many cardinal numbers as natural numbers. There can be no generalization of the biggest natural number and so does for biggest cardinal number.

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More Important Topics
Numbers
Algebra
Geometry
Measurement
Money
Data
Trigonometry
Calculus