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.

Open in App

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.

Suggest Corrections

Similar questions

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.

Q. Write 'T' for true and 'F' for false for each of the following:

(i)

\frac{- 15}{- 11}

lies to the left of 0 on the number line.
(ii)

\frac{1}{3} and \frac{- 3}{2}

lie on opposite side of 0 on the number line.
(iii)

\frac{- 8}{13}

lies to the left of 0 on the number line.
(iv)

\frac{- 4}{5} > \frac{- 2}{3}

.
(v)

\frac{- 3}{5}

is the largest among

\frac{- 3}{7}, \frac{- 7}{10} and \frac{- 5}{6}

If a and b are two rational numbers such that a < 0 and b > 0, then, on the number line

Q. If rational number 'a' lies on left side of 'b' on the number line, then a ___ b.

Join BYJU'S Learning Program