
Find a rational number between $-1$ and $\dfrac{1}{2}$
Answer
409.8k+ views
Hint: For the type of question in which the rational number is asked between any two numbers, first look at the number of rational numbers they had asked. In our case a single rational number is asked. For finding a one rational number between any two numbers just find the average of these two values. The outcome will be the answer.
Complete step by step answer:
But if more than one rational number is asked then you need to make the value in p/q form. By multiplying or dividing with some reasonable number, based on the rational number we need to find out. For example, $-1$ and $\dfrac{1}{\begin{align}
& 2 \\
& \\
\end{align}}$ can also be written as $-\dfrac{20}{20}$and $\dfrac{10}{20}$. In which we can easily find the number between these values.
For our question a rational value between $-1$ and $\dfrac{1}{2}$.
By first method
Rational number between $-1$ and \[\dfrac{1}{2}\]$=\dfrac{1}{2}\left( -1+\dfrac{1}{2} \right)$
Rational number between $-1$ and \[\dfrac{1}{2}\]$=\dfrac{1}{2}\left( -\dfrac{1}{2} \right)$
Rational number between $-1$ and \[\dfrac{1}{2}\]$=-\dfrac{1}{4}$
So $-\dfrac{1}{4}$ is one of the rational number between $-1$ and \[\dfrac{1}{2}\]
By method 2
Rational number between $-1$ and \[\dfrac{1}{2}\]
So multiply the value by a number such that both values have the same denominator, and the value should be clearly seen large so that you can easily find out the rational number between them. Let you multiply and divide by 20 in $-1$ and 10 in $-\dfrac{1}{2}$ so that both will have the same denominator.
So the values we will get will be $-1\times \dfrac{20}{20}=-\dfrac{20}{20}$ and $\dfrac{1}{2}\times \dfrac{10}{10}=\dfrac{10}{20}$
So the value will be $-\dfrac{20}{20}$ and $\dfrac{10}{20}$
So now to find out a rational number between it, it can be any of $-\dfrac{19}{20},-\dfrac{18}{20},-\dfrac{17}{20}............\dfrac{9}{20}$ all will be the answer of this question. And you can write any one of them. However, between these numbers of value $-\dfrac{5}{20}$ also exist, which can further be simplified to $-\dfrac{1}{4}$ which we got through the first method.
Note: First method is only valid when you need to find one rational number. But if you want to find a more rational number then you can go with the second method. Keep in mind that for the second method denominators need to be the same of two values.
Complete step by step answer:
But if more than one rational number is asked then you need to make the value in p/q form. By multiplying or dividing with some reasonable number, based on the rational number we need to find out. For example, $-1$ and $\dfrac{1}{\begin{align}
& 2 \\
& \\
\end{align}}$ can also be written as $-\dfrac{20}{20}$and $\dfrac{10}{20}$. In which we can easily find the number between these values.
For our question a rational value between $-1$ and $\dfrac{1}{2}$.
By first method
Rational number between $-1$ and \[\dfrac{1}{2}\]$=\dfrac{1}{2}\left( -1+\dfrac{1}{2} \right)$
Rational number between $-1$ and \[\dfrac{1}{2}\]$=\dfrac{1}{2}\left( -\dfrac{1}{2} \right)$
Rational number between $-1$ and \[\dfrac{1}{2}\]$=-\dfrac{1}{4}$
So $-\dfrac{1}{4}$ is one of the rational number between $-1$ and \[\dfrac{1}{2}\]
By method 2
Rational number between $-1$ and \[\dfrac{1}{2}\]
So multiply the value by a number such that both values have the same denominator, and the value should be clearly seen large so that you can easily find out the rational number between them. Let you multiply and divide by 20 in $-1$ and 10 in $-\dfrac{1}{2}$ so that both will have the same denominator.
So the values we will get will be $-1\times \dfrac{20}{20}=-\dfrac{20}{20}$ and $\dfrac{1}{2}\times \dfrac{10}{10}=\dfrac{10}{20}$
So the value will be $-\dfrac{20}{20}$ and $\dfrac{10}{20}$
So now to find out a rational number between it, it can be any of $-\dfrac{19}{20},-\dfrac{18}{20},-\dfrac{17}{20}............\dfrac{9}{20}$ all will be the answer of this question. And you can write any one of them. However, between these numbers of value $-\dfrac{5}{20}$ also exist, which can further be simplified to $-\dfrac{1}{4}$ which we got through the first method.
Note: First method is only valid when you need to find one rational number. But if you want to find a more rational number then you can go with the second method. Keep in mind that for the second method denominators need to be the same of two values.
Recently Updated Pages
Glucose when reduced with HI and red Phosphorus gives class 11 chemistry CBSE

The highest possible oxidation states of Uranium and class 11 chemistry CBSE

Find the value of x if the mode of the following data class 11 maths CBSE

Which of the following can be used in the Friedel Crafts class 11 chemistry CBSE

A sphere of mass 40 kg is attracted by a second sphere class 11 physics CBSE

Statement I Reactivity of aluminium decreases when class 11 chemistry CBSE

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

How do you graph the function fx 4x class 9 maths CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Difference Between Plant Cell and Animal Cell

What is pollution? How many types of pollution? Define it

What is the color of ferrous sulphate crystals? How does this color change after heating? Name the products formed on strongly heating ferrous sulphate crystals. What type of chemical reaction occurs in this type of change.
