- A9
- B11
- C4
- D10
Step-by-Step Solution
Each part is , so P and Q . Strictly between them k runs from to 5: that is 9 numbers. (11 wrongly includes P and Q; 4 counts only the marks drawn.)
Answer: A) 9
Points P and Q are marked on the number line; each unit is cut into equal parts. How many rational numbers of the form an integer) lie strictly between P and Q?
Class 8Rational NumbersRational Numbers
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.
- 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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