Which of the following statements are true and which are false?
(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) The rational numbers $\frac{1}{3}$ and $\frac{- 5}{2}$ are on opposite sides of 0 on the number line.
(iv) The rational number $\frac{- 18}{- 13}$ lies to the left of 0 on the number line.

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Solution

(i) True
A negative number always lies to the left of 0 on the number line.

(ii) False
A negative number always lies to the left of 0 on the number line.

(iii) True
Negative and positive numbers always lie on the opposite sides of 0 on the number line.

(iv) False
The negative sign cancels off and the number becomes $\frac{18}{13}$ ; it lies to the right of 0 on the number line.

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Similar questions

Q. Which of the following statements are true and which are false?
(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) The rational numbers

\frac{1}{3}

and

\frac{- 5}{2}

are on opposite sides of 0 on the number line.
(iv) The rational number

\frac{- 18}{- 13}

lies to the left of 0 on the number line.

Q. 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} 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.

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.