Question

Which of the following statements are true?

(i) $\frac{-3}{5}$ lies to the left of 0 on the number line.
(ii) $\frac{-12}{7}$ lies to the right of 0 on the number line.
(iii) $\frac{1}{3}\mathrm{and}\frac{-5}{2}$ lie on opposite sides of 0 on the number line.
(iv) $\frac{-18}{-13}$ lies to the left of 0 on the number line.
(v) $\frac{-5}{-8}$ lies on the right of $\frac{-5}{7}$ on the number line.

Answer 1

$\begin{array}{l}\\ \left(\text{i}\right)\text{True}.\; This\; is\; because\text{negative rational numbers lie to the left of 0 on the number line}\text{.}\\ \left(\text{ii}\right)\text{False}.\; This\; is\; because\text{negative rational numbers do not lie to the right of 0}\text{.}\\ \left(\text{iii}\right)\text{True}.\; This\; is\; because\text{positive rational numbers lie to the right, while negative rational numbers to the left of 0}\text{.}\\ \left(\text{iv}\right)\text{False}.\; This\; is\; because\text{it is positive, which means it lies to the right of 0}\text{.}\\ \left(\text{v}\right)\text{True}.\; This\; is\; because\mathrm{a}\text{positive rational number lies to the right of a negative rational number}\text{.}\\ \end{array}$