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The part of the number line between −2 and −1 is zoomed in below. Which rational number does the point P show?

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

Step-by-Step Solution

The zoomed piece from to is cut into 5 parts of . P is 2 parts to the right of . (Reading it as gives the wrong )
Answer: D)

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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