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Arrange and in DESCENDING order (greatest first).

Class 7Rational NumbersRational Numbers
  • A
  • B
  • C
  • D

Step-by-Step Solution

LCM(5, 3, 10) = 30: . Greatest first means least negative first: −20 > −21 > −24, giving . Sorting by size while ignoring the minus signs puts first — the biggest number of thirtieths is actually the SMALLEST value here.
Answer: B)

Key idea: Rationals on the number line

Every rational number has a place on the number line. Negative rationals on the left of 0, positive on the right. Between any two rationals, you can always find another rational (in fact, infinitely many) — this is called **density**.

Example: between 1/3 and 1/2, the average (1/3 + 1/2)/2 = 5/12 sits in the middle. Between 1/3 and 5/12 there's another rational, and so on, forever.

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