- A
- B
- C
- D
Step-by-Step Solution
Each part is of a unit and moving left of 0 makes the value negative, so P sits at . Traps: forgets the direction, and swaps the number of parts with the size of each part.
Answer: D)
The gap between 0 and 1 on a number line is divided into 5 equal parts. Using parts of the same size, a point P is marked 3 parts to the LEFT of 0. Which rational number does P represent?
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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