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Between which two consecutive integers does lie on the number line?

Class 8Rational NumbersRational Numbers
  • A−2 and −1
  • B2 and 3
  • C−4 and −3
  • D−3 and −2

Step-by-Step Solution

, so , which lies to the LEFT of −2 and to the right of −3 (nearer to −3). The trap is treating the extra as a step to the right of −2, landing wrongly between −2 and −1.
Answer: D) −3 and −2

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.

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