The product of $-\dfrac{1}{3}$ and its additive inverse is

1. 0

2. -3

3. $-\dfrac{1}{9}$

4. $-3\dfrac{1}{3}$

Which of the following rational numbers is equivalent to $\dfrac{-2}{7}$ ?

1. $\dfrac{-14}{21}$

2. $\dfrac{-8}{14}$

3. $\dfrac{-14}{49}$

4. $\dfrac{-6}{28}$

Fill in the blanks :

(i) The multiplicative inverse of a rational number is also called its …………… .

(ii) Every negative rational number is …………… than 0.

(iii) A rational number $\dfrac{p}{q}$ is said to be in standard form, if q is …………… and p and q have no common divisor other than 1.

(iv) $\dfrac{-5}{-9}$ is a …………… rational number.

(v) The additive inverse of a rational number $\dfrac{a}{b}$ is …………… .

State True or False :

(i) There exists a rational number which is neither positive nor negative.

(ii) Every rational number has a multiplicative inverse.

(iii) Every rational number when expressed in its standard form has its denominator greater than the numerator.

(iv) The sum of a rational number and its additive inverse is always

(v) The product of a rational number and its multiplicative inverse is always

(vi) Any two equivalent rational numbers have the same standard form.

(vii) The product of any two rational numbers is also a rational number.

(viii) A rational number when divided by another rational number always gives a rational number.

(ix) Every rational number can be represented on a number line.

(x) The rational numbers smaller than a given rational number $\dfrac{p}{q}$ lie to the left of $\dfrac{p}{q}$.