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WAEC Mathematics 2009 Question 4

Question 4

Number Bases

Arrange the following numbers in descending order of magnitude: 22three, 34five, 21six.

  1. A.21six, 22three, 34five
  2. B.21six, 34five, 22three
  3. C.22three, 34five, 21six
  4. D.34five, 21six, 22three
Show the answer and explanation

Answer: D (34five, 21six, 22three)

Explanation

In base ten: 22three = 8, 34five = 19 and 21six = 13. Largest to smallest: 34five, 21six, 22three.