Question

Which of the following statements are false about $\frac{-2}{3}?$

• A. It lies to the left side of zero on the number line.
• B. It lies to the right side of zero on the number line.
• C. It is not possible to represent on the number line.
• D. Negative rational numbers lie on the left of $0$ on the number line.

Answer 1

Answer: (B), (C)

It is not possible to represent on the number line.
It lies to the right side of zero on the number line.

The given number is $-\frac{2}{3}$

So, on the number line it will lie to the left of $0$

$\therefore$ (A) is true and (B) is false

It is possible to represent the given number on the number line.

$\therefore$ (C) is false.

We know, any negative number lies on the number line to the left of $0$

$\therefore$ (D) is true

Hence, the correct option is (B) and (C)