Question
A rational number between \( -3 \) and \( 3 \) is:
(a) \( 0 \)
(b) \( -4.3 \)
(c) \( -3.4 \)
(d) 1.101100110001 …
Solution
Option (a): \( 0 \)
✔ Rational and lies between -3 and 3
\( 0 \) is a rational number and satisfies: \[ -3 < 0 < 3 \]
Option (b): \( -4.3 \)
✘ Not in the interval
\[ -4.3 < -3 \]
Option (c): \( -3.4 \)
✘ Not in the interval
\[ -3.4 < -3 \]
Option (d): 1.101100110001 …
✘ Not rational
This is non-terminating and non-repeating, so it is irrational.
Final Answer
✔ Correct option: (a) \( 0 \)