NCERT Solutions for Chapter: Rational Numbers, Exercise 1: Exercise

If $y$ be the reciprocal of rational number $x$, then the reciprocal of $y$ will be 

A mother and her two daughters got a room constructed for $\mathrm{Rs}. 62,000$. The elder daughter contributes $\frac{3}{8}$ of her mother's contribution while the younger daughter contributes $\frac{1}{2}$ of her mother's share. How much do the three contribute individually?

Find five rational numbers between $0$ and $1$.

Write the following rational numbers in the descending order.

$\frac{8}{7}, \frac{-9}{8}, \frac{-3}{2}, 0, \frac{2}{5}$

On a winter day the temperature at a place in Himachal Pradesh was $-16°\mathrm{C}$. Convert it in degree Fahrenheit $\left(°F\right)$ by using the formula.
$\frac{C}{5}=\frac{F-32}{9}$

Shalini has to cut out circles of diameter $1\frac{1}{4}\mathrm{cm}$ from an aluminium strip of dimensions $8\frac{3}{4}\mathrm{cm}$ by $1\frac{1}{4}\mathrm{cm}$. How many full circles can

Shalini cut? Also calculate the wastage of the aluminium strip.

The table given below shows the distances, in kilometres, between four villages of a state. To find the distance between two villages, locate the square where the row for one village and the column for the other village intersect.

Compare the distance between Himgaon and Rawalpur to Sonapur and Ramgarh?

The average life expectancies of males for several states are shown in the table. Express each decimal in the form $\frac{p}{q}$ and arrange the states from the least to the greatest male life expectancy.

State-wise data are included below; more indicators can be found in the "FACTFILE" section on the homepage for each state.

State                                              Male                                    $\frac{p}{q}$ form                             Lowest terms

Andhra Pradesh                            $61.6$

Assam                                           $57.1$

Bihar                                             $60.7$

Gujarat                                          $61.9$

Haryana                                        $64.1$

Himachal Pradesh                        $65.1$

Karnataka                                     $62.4$

Kerala                                           $70.6$

Madhya Pradesh                         $56.5$

Maharashtra                                 $64.5$

Orissa                                           $57.6$

Punjab                                          $66.9$

Rajasthan                                     $59.8$

Tamil Nadu                                   $63.7$

Uttar Pradesh                               $58.9$

West Bengal                                 $62.8$

Source: Registrar General of India $\left(2003\right)$ SRS Based Abridged Lefe Tables. SRS Analytical Studies, Report No. 3 of $2003$, New Delhi: Registrar General of India. The data are for the $1995-99$ period; states subsequently divided are therefore included in their pre-partition states (Chhatisgarh in MP, Uttaranchal in UP and Jharkhand in Bihar)