Practice30Create account

Which of these does NOT lie between and ?

Class 8Rational NumbersRational Numbers
  • A
  • B0
  • C
  • D

Step-by-Step Solution

As decimals the interval runs from −0.5 to 0.75. Now −0.25, 0 and 0.625 all sit inside it, but lies to the LEFT of , so it is outside. The trap is assuming any small-looking negative fraction must be inside the interval.
Answer: C)

Key idea: Rationals on the number line

Every rational has a unique location on the number line. To plot p/q:
- If q > 0 and p > 0, count p/q units to the right of 0.
- If p < 0, count to the left.
- For 5/4, divide each unit between 1 and 2 into 4 equal parts and pick the first one past 1.

Unlike integers (which leave gaps between consecutive values), rationals appear infinitely close to each other on the number line.

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Rational Numbers practice questions

More Class 8 Rational Numbers practice

Assertion (A): The rational number -3/-7 is positive. Reason (R): A rational number is…Find a rational number lying between -3/4 and -2/3.Points P and Q are marked on the number line; each unit is cut into equal parts. How…Point B is the mirror image of point A in the dashed mirror line through 0. Which…The unit bar (blue) is cut into equal parts, and the orange bar is as long as some of…