Question

How many whole numbers are there between 21 and 61?

Answer 1

Hint:
Here, we will list the numbers between 21 and 61. Then using the definition of the whole number we will segregate those numbers. We will then count them to find the number of whole numbers between 21 and 61.

Complete step by step solution:
Whole numbers: Whole numbers are counting numbers starting from 0. They include all natural numbers and extend from 0 to infinity. Example- 0, 1, 20, 98, 45698, etc.
We will now list the numbers lying between 21 and 61.
They are 22, 23, 24, 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, 51, 52, 53, 54, 55, 56, 57, 58, 59 and 60.
We will count these numbers. There are 39 numbers in total.

Therefore, we can conclude that there are 39 whole numbers between 21 and 61.

Note:
We can also find the required number of whole numbers by using formula. The number of whole numbers between 2 numbers \[m\] and \[n\]such that \[m > n\] is given by \[\left( {m - n} \right) - 1\]. We will substitute 61 for \[m\] and 21 for \[n\] in the formula.
\[\left( {61 - 21} \right) - 1 = 40 - 1 = 39\]
We have found that there are 39 whole numbers between 21 and 61.
We can make the mistake of assuming that there are 40 whole numbers between 21 and 61 because their difference is 40. We need to be careful about this; the number of whole numbers between 2 numbers is 1 less than the difference of the numbers. This is because the given numbers are not to be included in the count.