Question

Which of the following statements are true or false?
(i) $-\frac{3}{5}$ lies to the left of O on the number line.
(ii) $\frac{-12}{7}$ lies to the right of O on the number line.
(iii) The rational numbers $\frac{1}{3}$ and $\frac{-5}{2}$ are on opposite sides of O on the number line.
(iv) The rational number $\frac{-18}{-13}$ lies to the left of O on the number line.

Answer 1

(i) True, as the numbers left of O are negative.
(ii) False, as the numbers right of O are positive and $\frac{-12}{7}$ is negative.
(iii) True, as $\frac{1}{3}$ is positive and $\frac{-5}{2}$ is negative.
(iv) False $\frac{-18}{-13}=\frac{18}{13}$ which is positive and positive numbers lie on the right of O.