Question

In each of the following, fill in the blanks so as to make the statement true:

(i) A number which can be expressed in the form $pq$, where $p$ and $q$ are integers and $q$ is not equal to zero, is called a .....

(ii) If the integers $p$ and $q$ have no common divisor other than 1 and $q$ is positive, then the rational number $pq$ is said to be in the ....

(iii) Two rational numbers are said to be equal, if they have the same .... form.

(vi) $\frac{a}{b}=\frac{a÷m}{b÷}$

(v) If $p$ and $q$ are positive integers, then $pq$ is a ..... rational number and $p-q$ is a ..... rational number.

(vi) The standard form of −1 is ...

(vii) If $pq$ is a rational number, then $q$ cannot be ....

(viii) Two rational numbers with different numerators are equal, if their numerators are in the same .... as their denominators.

Answer 1

(i) Rational number
(ii) Standard form or Lowest form
(iii) Standard form or Lowest form
(iv) $\frac{a}{b}=\frac{a÷m}{b÷m}$
(v) positive rational number, negative rational number (provided $q>p$)
(vi) $\frac{-1}{1}$
(vii) zero
(viii) ratio