# List five rational numbers between $ - 1$ and $0.$

Answer

Verified

368.1k+ views

Hint : Obtain fractions between $ - 1$ and $0.$

As we know rational numbers are those which can be expressed in the form $\dfrac{p}{q}$.

Where q is not equal to zero.

Therefore the rational number between two numbers say a and b can be obtained by doing the operation $\dfrac{{{\text{a + b}}}}{2}$.

Therefore the rational number between -1 and 0 is

$\dfrac{{ - 1 + 0}}{2}$=$\dfrac{{ - 1}}{2}$

The rational number between -1 and $\dfrac{{ - 1}}{2}$ is

$\dfrac{{ - 1 + \dfrac{{ - 1}}{2}}}{2} = \dfrac{{ - 3}}{4}$

The rational number between -1 and $\dfrac{{ - 3}}{4}$ is

$\dfrac{{ - 1 + \dfrac{{ - 3}}{4}}}{2} = \dfrac{{ - 7}}{8}$

The rational number between -1 and $\dfrac{{ - 7}}{8}$ is

$\dfrac{{ - 1 + \dfrac{{ - 7}}{8}}}{2} = \dfrac{{ - 15}}{{16}}$

The rational number between -1 and $\dfrac{{ - 15}}{{16}}$ is

$\dfrac{{ - 1 + \dfrac{{ - 15}}{{16}}}}{2} = \dfrac{{ - 31}}{{32}}$

Therefore the 5 rational numbers between -1 & 0 are

$\dfrac{{ - 1}}{2}$,$\dfrac{{ - 3}}{4}$,$\dfrac{{ - 7}}{8}$,$\dfrac{{ - 15}}{{16}}$,$\dfrac{{ - 31}}{{32}}$.

Note :In mathematics, a rational number is a number that can be expressed as the quotient or fraction $\dfrac{p}{q}$ of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

As we know rational numbers are those which can be expressed in the form $\dfrac{p}{q}$.

Where q is not equal to zero.

Therefore the rational number between two numbers say a and b can be obtained by doing the operation $\dfrac{{{\text{a + b}}}}{2}$.

Therefore the rational number between -1 and 0 is

$\dfrac{{ - 1 + 0}}{2}$=$\dfrac{{ - 1}}{2}$

The rational number between -1 and $\dfrac{{ - 1}}{2}$ is

$\dfrac{{ - 1 + \dfrac{{ - 1}}{2}}}{2} = \dfrac{{ - 3}}{4}$

The rational number between -1 and $\dfrac{{ - 3}}{4}$ is

$\dfrac{{ - 1 + \dfrac{{ - 3}}{4}}}{2} = \dfrac{{ - 7}}{8}$

The rational number between -1 and $\dfrac{{ - 7}}{8}$ is

$\dfrac{{ - 1 + \dfrac{{ - 7}}{8}}}{2} = \dfrac{{ - 15}}{{16}}$

The rational number between -1 and $\dfrac{{ - 15}}{{16}}$ is

$\dfrac{{ - 1 + \dfrac{{ - 15}}{{16}}}}{2} = \dfrac{{ - 31}}{{32}}$

Therefore the 5 rational numbers between -1 & 0 are

$\dfrac{{ - 1}}{2}$,$\dfrac{{ - 3}}{4}$,$\dfrac{{ - 7}}{8}$,$\dfrac{{ - 15}}{{16}}$,$\dfrac{{ - 31}}{{32}}$.

Note :In mathematics, a rational number is a number that can be expressed as the quotient or fraction $\dfrac{p}{q}$ of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

Last updated date: 30th Sep 2023

â€¢

Total views: 368.1k

â€¢

Views today: 6.68k

Recently Updated Pages

What do you mean by public facilities

Paragraph on Friendship

Slogan on Noise Pollution

Disadvantages of Advertising

Prepare a Pocket Guide on First Aid for your School

10 Slogans on Save the Tiger

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

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

What is meant by shramdaan AVoluntary contribution class 11 social science CBSE

The equation xxx + 2 is satisfied when x is equal to class 10 maths CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell

An alternating current can be produced by A a transformer class 12 physics CBSE

What is the value of 01+23+45+67++1617+1819+20 class 11 maths CBSE

Give 10 examples for herbs , shrubs , climbers , creepers