Answer

Verified

384.3k+ views

**Hint:**The above question is based on rational numbers. We have to find out the rational numbers lying between any two numbers. Discuss the basic concept of rational numbers then we can find out the way to solve them. To find the numbers, multiply the given number by $100$ and then by $1000$. In this way, we can conclude our result. Let’s have some more discussion about the same.

**Complete step-by-step answer:**Rational numbers are those which are in the form of $\dfrac{p}{q}$ where a condition is applied that $q$ does not equal to zero.

There are two numbers given i.e. $0$ and $0.1$

Firstly, we have to find out the three rational numbers lying between $0$ and $0.1$.

We have $0$, so we can multiply the term by $\dfrac{1}{{100}}$ and we will get

$0 * \dfrac{1}{{100}} = 0$

We have another number $0.1$, it can be written as $\dfrac{1}{{10}}$. Multiplying the term by $\dfrac{4}{{10}}$, we get:

$\Rightarrow$ $\dfrac{1}{{10}} * \dfrac{4}{{10}} = \dfrac{4}{{100}}$

We get the numbers that are $0$ and $\dfrac{4}{{100}}$

So, the three rational numbers lying between $0$ and $\dfrac{4}{{100}}$ are:

$\dfrac{1}{{100}},\dfrac{2}{{100}},\dfrac{3}{{100}}$

Similarly, we can find the twenty rational numbers by multiplying them.

As we have $0$ and $\dfrac{1}{{10}}$, multiplying $0$ by $\dfrac{1}{{1000}}$ we get

$\Rightarrow$ $0 * \dfrac{1}{{1000}} = 0$

Multiplying $100$ on numerator and denominator of $\dfrac{1}{{10}}$, we get

$ = \dfrac{1}{{10}} * \dfrac{{100}}{{100}}$

$\Rightarrow$ $\dfrac{{100}}{{1000}}$

Now, twenty rational numbers between $0$ and $\dfrac{1}{{10}}$ or we can say between $0$ and $\dfrac{{100}}{{1000}}$ are:

$\dfrac{1}{{1000}},\dfrac{2}{{1000}},\dfrac{3}{{1000}},\dfrac{4}{{1000}},\dfrac{5}{{1000}},\dfrac{6}{{1000}},\dfrac{7}{{1000}},\dfrac{8}{{1000}},\dfrac{9}{{1000}},\dfrac{{10}}{{1000}},\dfrac{{11}}{{1000}},\dfrac{{12}}{{1000}},\dfrac{{13}}{{1000}},\dfrac{{14}}{{1000}},\dfrac{{15}}{{1000}},$

$\dfrac{{16}}{{1000}},\dfrac{{17}}{{1000}},\dfrac{{18}}{{1000}},\dfrac{{19}}{{1000}}$ and $\dfrac{{20}}{{1000}}$.

**In this way, we found out twenty rational numbers between $0$ and $0.1$.**

**Note:**The above problem can be solved by multiplying the numbers and making $\dfrac{p}{q}$ form. In this way, we can find out infinite rational numbers lying between $0$ and $0.1$. Rational numbers are used for buying and selling products. Real life example of that is sharing a pizza and coke among people.

Recently Updated Pages

What are the Advantages and Disadvantages of Algorithm

How do you write 0125 in scientific notation class 0 maths CBSE

The marks obtained by 50 students of class 10 out of class 11 maths CBSE

You are awaiting your class 10th results Meanwhile class 7 english CBSE

Which one of the following was not the cause of the class 10 social science CBSE

Which one of the following cities is not located on class 10 social science CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Mention the different categories of ministers in the class 10 social science CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Who is the executive head of the Municipal Corporation class 6 social science CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Which monarch called himself as the second Alexander class 10 social science CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE

Write an application to the principal requesting five class 10 english CBSE