# Counting Numbers

• Last Updated : 22 Sep, 2022

Counting numbers are called natural numbers, and they are named counting numbers because they are used in the counting of the numbers of objects, elements, etc. Counting numbers start from 1 and terminate at infinity. The sequence for counting numbers is 1, 2, 3, 4, and so on. Let’s learn about counting numbers in detail.

## What are Counting Numbers?

Counting Numbers are defined as the set of numbers that we use to count things. Counting numbers are called natural numbers. And these numbers are always positive. Counting numbers do not include 0, and this is the reason that whole numbers cannot be called counting numbers. Examples of counting numbers are 1, 2, 3, 4, 5, … etc. Counting numbers are used in everyday life as they are required to count things, objects, money, and so on. Hence, counting numbers can not be decimals, negative numbers, integers, or fractions. Counting numbers are positive numbers, while integers contain both positive and negative numbers. Counting of numbers can be done in many different ways, for instance, reverse counting, counting by 2s (2, 4, 6,…), counting by 3s (3, 6, 9,…), counting by 5s (5, 10, 15,…), and so on. The basic rules of Counting numbers are:

1. Counting numbers do not include 0.
2. Counting numbers do not include fractions, e.g., 1/2, 3/4, 5/6, etc.
3. Counting numbers do not include negative numbers, e.g: -1, -2, -3 etc.
4. Counting number do not include decimals, e.g: 0.85, 0.67, 3.97 etc.

## Counting Numbers from 1 to 20

Counting numbers are always generated from 1 because 0 is never included in the counting numbers. Let’s start counting numbers, and to begin, let’s count numbers from 1 to 20, both in digits and in words.

## Counting Numbers From 1 to 100

We are counting numbers from 1 to 100 because to understand the order of numbers, repeated counting of numbers is important for children. It can be done in everyday life by simply counting anything lying around the house. This includes counting books, money, biscuits, or any countable thing. Counting numbers from 1 to 100 is taught so that the student understands the concept of increasing numbers and patterns more clearly. Below is the counting numbers worksheet from 1 to 100:

## Counting Numbers with Hands

Counting numbers with hands is a necessary practice for a better understanding of counting numbers for children. Since visual maths helps children grasp the concept easily, counting numbers with hands links the fingers to numbers, and it makes counting easier. Counting from 1 to 10 can be easily done with hands, and once this is learned properly, from 10 to 20 will be a repetition of the same fingers for counting. Below given figure shows the counting of numbers from 1 to 10 with hands.

## Examples of Counting Numbers

The example of counting numbers can be found everywhere, even in everyday life. From counting the days in the year to counting the candies distributed in the class, and so on. Let’s look at some of the examples of counting numbers,

1. Count for the days left for the Durga Puja vacation. (Such as 60 days)
2. Count the number of books you have. (Such as – 3 Science, 1 Math, 2 English Books).
3. Count for the numbers from 1 to 100. (like 1, 2, 3, 4, 5,… 10 and then for 11 to 20 and so on).
4. Count for the number of students in your class. (like 30, 40).
5. Count for the number of players in the Indian Cricket team (like 11 payers)  and so on.

## Counting Numbers Worksheet

Question 1: Complete the following worksheet by counting the numbers by 5.

• 5, ?, 15, 20, ?
• 25, 30, ?, 40
• 1000, ?, 1010, 1015, 1020

As the numbers are counted by 5, adding 5 to the previous number will give the next number. Therefore, the answers are:

• 5, 10, 15, 20, 25
• 25, 30, 35, 40
• 1000, 1005, 1010, 1015, 1020

Question 2: Write the counting numbers from:

• 10 to 20
• 100 to 1000 counting by 100
• 25 to 50

• Counting numbers from 10 to 20 ⇢ 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.
• Counting numbers from 100 to 1000 by 100 ⇢ 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000.
• Counting numbers from 25 to 50 ⇢ 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50.

Question 3: Write 11 counting numbers from 9.

11 counting numbers from 9 are 9, 10, 11, 12, 13, 14, 15, 16, 17.

Question 4: Write only the even counting numbers from 1 to 20.

Even counting numbers will only include even numbers. Even numbers are the number that are completely divisible by 2 leaving 0 as a remainder. So, even counting numbers from 1 to 20 are:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20

Question 5: Write the odd counting numbers from 10 to 50.

Odd counting numbers will only include odd numbers. Odd numbers are the number that are not completely divisible by 2. So, odd counting numbers from 10 to 50 are:

11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49.

## FAQs on Counting Numbers

Question 1: What are counting numbers in maths?

Counting numbers are the natural numbers and they are used for counting. Counting numbers generate from 1 and go up to infinity. We can count things using counting numbers, however, 0 is not included in counting numbers as we cannot count 0.

Question 2: How many counting numbers are there?

There are infinite counting numbers because the definition of counting numbers itself states that they generate from 1 and they terminate at infinity. This shows that there can be infinite counting numbers.

Question 3: What is the mean of the first 100 counting numbers?

In order to find the mean of n numbers, first add all the numbers and then divide it by n. Therefore, to find the mean of first 100 counting numbers, the first step is add the first 100 numbers, that is, 1 + 2 + 3 + … 100 = 5050, now the second and the last step is to divide the number by 100, that is, 5050/100 = 50.5. So, the mean of first 100 counting numbers is 50.5.

Question 4: What is 1,000,000,000 in English?

1,000,000,000 is a counting number and in English, it is called 1 billion.

Question 5: What is another name for counting numbers?