Question

The whole number 13 lies between 11 and 12.
(a) True
 (b) False

Answer 1

Hint: Here, we need to answer whether the given statement is true or false. We will use the definition of whole numbers to check whether the whole number 13 lies between the numbers 11 and 12, or not.

Complete step-by-step answer:
We will use the definition of whole numbers to check whether the whole number 13 lies between the numbers 11 and 12, or not.
Whole numbers include the numbers 0, and all the positive integers like 1, 2, 3, etc.
For example: 0, 1, 2, 100, 400, 52225, are all whole numbers.
The whole numbers are the basic numbers we use when counting objects.
We can list the first 21 whole numbers (in increasing order) as
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.
In the sequence, we can observe that the whole number 13 comes after the whole number 12, and before the whole number 14.
Thus, the whole number 13 lies between 12 and 14.
Also, we can observe that there is no whole number lying between 11 and 12.
Therefore, we can say that the whole number 13 does not lie between 11 and 12.
Thus, the given statement is false.

Note: We can observe that there is no whole number lying between 11 and 12. 11 and 12 are two consecutive whole numbers. A number lying between two consecutive whole numbers can only be a decimal or a fraction.
A fraction is a number which represents a part of a group. It is written as \[\dfrac{a}{b}\], where \[a\] is called the numerator and \[b\] is called the denominator. The group is divided into \[b\] equal parts. The fraction \[\dfrac{a}{b}\] represents \[a\] out of \[b\] equal parts of the group.
The numbers lying between 11 and 12 can be \[\dfrac{{23}}{2},11.5,11.2,11.1,\dfrac{{34}}{3}\]. Note that all the fractions that do not have 1 as a denominator are not whole numbers or integers.