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Question

(A) rational number is a number that can be expressed in the form $\frac{p}{q}$,where $p$ and $q$ are integers and $q 
eq 0$. The average of $2$ and

Vedclass · Accepted Answer

Rational: $2.5$,Irrational: $2.1010010001...$

Vedclass · Answer

(A) rational number is a number that can be expressed in the form $\frac{p}{q}$,where $p$ and $q$ are integers and $q 
eq 0$. The average of $2$ and $3$ is $\frac{2+3}{2} = 2.5$,which is a rational number.An irrational number is a number that cannot be expressed in the form $\frac{p}{q}$ and has a non-terminating,non-recurring decimal expansion.An example of an irrational number between $2$ and $3$ is $2.1010010001...$ (a non-terminating and non-recurring decimal).

Insert a rational number and an irrational number between $2$ and $3$.

Similar Questions

Let $x$ and $y$ be rational and irrational numbers,respectively. Is $x+y$ necessarily an irrational number? Give an example in support of your answer.

Find the values of $a$ and $b$ in each of the following:
$\frac{7+\sqrt{5}}{7-\sqrt{5}}-\frac{7-\sqrt{5}}{7+\sqrt{5}}=a+\frac{7}{11} \sqrt{5} b$

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
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Express $0.\overline{27}$ in the $\frac{p}{q}$ form.

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$0.\overline{125}$

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