Question

How many whole numbers are there between $0$ and $1$?

Answer 1

Hint: Here, we have to find the whole number between $0$ and $1$. Whole numbers can be defined as the numbers without fractions, and they are a collection of positive integer numbers and zero. Whole numbers are denoted by the symbol “W”.

Complete step by step answer:
Whole numbers can be defined as the numbers in which the counting starts from the number zero and are denoted by the symbol “W”. Including zero, all figures are true and do not include fractional numbers and decimal numbers i.e., $\dfrac{1}{2},\,0.6$ as they are not entire quantities.

They are almost the same as the natural number except for zero. As the name implies, the whole number is not a fraction. We have to find the whole numbers between $0$ and $1$.There are no whole numbers between $0$ and $1$ as in whole numbers the number after $0$ is $1$.

But there can be an infinite number of real numbers in the interval $(0,1)$. They consist of rational numbers which can be represented in fractions or in the form of $\dfrac{p}{q}$ where $q \ne 0$ such as $\dfrac{1}{2}$. And irrational numbers such as $\dfrac{1}{{\sqrt 2 }}$.

Therefore, by definition whole numbers are the numbers without fractions so there are no whole numbers between $0$ and $1$.

Note: Whole numbers are the collection of positive integer numbers and zero and their properties depend on arithmetic operations such as addition, subtraction, division and multiplication. If we add or multiply two whole numbers the result is also a whole number.Note that the subtraction of two whole numbers may not result in the whole number; it can be an integer too and also division of two numbers results in getting a fraction in some cases.