- A
- B
- C
- D
Step-by-Step Solution
Take the common denominator 24: . The largest numerator is −14, so is the greatest. The trap is picking because looks biggest — among negatives, the number closest to 0 wins.
Answer: D)
Which of these rational numbers is the greatest?
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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