Arrange the following number names in increasing order of magnitude: 1) Trillion 2) Thousand 3) Billion 4) Hundred 5) Million Select the correct ascending sequence.

Difficulty: Easy

Correct Answer: 4, 2, 5, 3, 1

Explanation:


Introduction / Context:
Questions about ordering number names require familiarity with the standard short scale used in English: hundred < thousand < million < billion < trillion. Being comfortable with place values helps avoid mix-ups between similarly sounding magnitudes.



Given Data / Assumptions:

  • 4) Hundred = 10^2.
  • 2) Thousand = 10^3.
  • 5) Million = 10^6.
  • 3) Billion = 10^9.
  • 1) Trillion = 10^12.


Concept / Approach:
Convert each term to its power-of-ten representation and then arrange in strictly increasing order. This avoids confusion and ensures a unique solution.



Step-by-Step Solution:
Order by powers: 10^2 (Hundred) → 10^3 (Thousand) → 10^6 (Million) → 10^9 (Billion) → 10^12 (Trillion).Mapping indices gives: 4, 2, 5, 3, 1.



Verification / Alternative check:
Check any proposed sequence against the exponents; any drop (e.g., 10^9 before 10^6) invalidates it immediately.



Why Other Options Are Wrong:

  • 4, 2, 3, 5, 1: puts billion (10^9) before million (10^6).
  • 1, 5, 3, 2, 4 and 1, 2, 4, 3, 5: start with trillion; not ascending.
  • None of these: Not necessary as a correct ascending order exists.


Common Pitfalls:
Confusing million/billion or thinking in long scale; stick to powers of ten to be safe.



Final Answer:
4, 2, 5, 3, 1

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