Question

The counting numbers 1,2,3,4... are called....
1. Whole numbers
2. Natural numbers
3. Integers
4. None of these

Answer 1

Hint:Make use of the standard definition of counting numbers to answer this question

Complete step by step solution:
Counting numbers : The numbers which can be used to count things are counting numbers.
Counting can be done in different forms-:
• Counting by one's- 1, 2 , 3 ,4....
• Counting by twos - 2, 4, 6, 8.....
• Counting by five's - 5 ,10,15, 20....
and so on..
How to count- Counting by any number involves adding that number to the previous number.
Like if we are counting by fours
1st number will be -: 4
2nd number will be - : \[4 + 4 = {\text{ }}8\]
3rd number will be -: \[8 + 4 = 12\]
So on...
Types of numbers
Different types of numbers are used in math.
1. Natural numbers- All counting numbers are called natural numbers. They starts with "1"
They are represented by n
2. Whole numbers - All natural numbers along with zero "0" are called whole numbers. i.e. they start with 0
They are represented by
3. Integers- all positive as well as negative numbers along with "0" called integers.
Represented by Z
4. Rational numbers- numbers which can be written in the form of p/q are called rational
numbers. (where q should not be equal to 0).
Like -: \[1/2,55/100,1/1\]
But not \[ - 1/0,5/0\]
5. Irrational numbers- word irrational means "no ratio" as they cannot be made by dividing two numbers.
The famous irrational numbers is
Where \[\pi = {\text{ }}3.14159..\]
4. Real numbers- All the numbers that exist are called real numbers.
Represented by R

Note : Generally students are confused between real numbers and natural numbers.
It is to be remembered that real numbers are all the numbers that exist.
So numbers 1,2,3,4.... are a part of a set of real numbers but this particular set is called Natural numbers.