Insert a rational number and an irrational nu | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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

Classify the following numbers as rational or irrational with justification:
$(i)$ $-\sqrt{0.4}$
$(ii)$ $\frac{\sqrt{12}}{\sqrt{75}}$

For each question,select the proper option from four options given,to make the statement true: $(5^{-2})^{3} = \ldots \ldots \ldots$

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.1\overline{34}$

Find the value of $\left(\frac{125}{64}\right)^{-\frac{2}{3}}$.

Find three rational numbers between $0.1$ and $0.11$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module