Home/Class 9/Maths/

Question and Answer

Question

Is zero a rational number? Can you write it in the form \(\frac {p}{q}\), where \(p\) and \(q\) are integers and \(q\neq 0?\)

Answer

See the analysis below. 
To Keep Reading This Answer, Download the App
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
To Keep Reading This Answer, Download the App
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play

Solution

As we know a rational number is a number that is represented in the form of \(\dfrac{a}{b}\),where \(b\neq0\) and\( a\) and\( b\)  are integers.
Now consider the given number zero.
As we know\( 0\) is an integer. So when we divide \(0\) by any integer except itself the value is\( 0\).
So \(0\) is written as \(\dfrac{0}{p}=\dfrac{p}{q}\) where \(p\) and\( q\) both are integers and \((p=0,q\neq0)\)
\(\therefore 0\) is a rational number.
To Keep Reading This Solution, Download the APP
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
To Keep Reading This Solution, Download the APP
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
Correct39
Incorrect0
Watch More Related Solutions
If \(\int \frac{d x}{x^{3}\left(1+x^{6}\right)^{2/3}}=x f(x)\left(1+x^{6}\right)^{\frac{1}{3}}+C\)
where, \(C\) is a constant of integration, then the function \(f(x)\) is equal to
( )
A. \(-\frac {1}{6x^{3}}\)
B. \(-\frac {1}{2x^{3}}\)
C. \(-\frac {1}{2x^{2}}\)
D. \(\frac {3}{x^{2}}\)
Find six rational numbers between 3 and 4.
Find five rational numbers between \(\frac {3}{5}\) and \(\frac{4}{5}.\)
State whether the following statement is true or false. Give reasons for your answer:
Every natural number is a whole number.___
\(\int \frac{\sin \frac{5 x}{2}}{\sin \frac{x}{2}} d x \text { is equal to }\) (where, \(C\) is a constant of integration)( )
A. \(2x+\sin x+2\sin 2x+C\)
B. \(x+2\sin x+2\sin 2x+C\)
C. \(x+2\sin x+\sin 2x+C\)
D. \(2x+\sin x+\sin 2x+C\)
State whether the following statement is true or false. Give reason for your answer:
Every integer is a whole number___
State whether the following statement is true or false. Give reason for your answer.
Every rational number is a whole number.___
The integral \(\int \frac {3x^{13}+2x^{11}}{(2x^{4}+3x^{2}+1)^{4}}\;dx\) is equal to (where \(C\) is a constant of integration)( )
A. \(\frac {x^{4}}{6(2x^{4}+3x^{2}+1)^{3}}+C\)
B. \(\frac {x^{12}}{6(2x^{4}+3x^{2}+1)^{3}}+C\)
C. \(\frac {x^{4}}{(2x^{4}+3x^{2}+1)^{3}}+C\)
D. \(\frac {x^{2}}{(2x^{4}+3x^{2}+1)^{3}}+C\)
If \(\int \frac{x+1}{\sqrt{2 x-1}} d x=f(x) \sqrt{2 x-1}+C\) where C is a
constant of integration, then \(f(x)\) is equal to( )
A.  \(\frac {2}{3}(x+2)\)
B.  \(\frac {1}{3}(x+4)\)
C. \(\frac {2}{3}(x-4)\) 
D.  \(\frac {1}{3}(x+1)\)
Locate \(\sqrt {2}\) on the number line.

Load More