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

Mathematics

WAEC 2009

Arrange the following numbers in descending orders of magnitude: 22_three, 34_five, 21_six

A. 21_six, 22_three, 34_five,
B. 21_six, 34_five, 22_three
C. 22_three, 34_five, 21_six
D. 34_five, 21_six, 22_three

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Correct Answer: Option D

Explanation

22_three, 34_five, 21_six = (2 x 3)(2 x 3^o), (3 x 5¹) = (4 x 5⁰), (2 x 6¹) + (1 x 6⁰)

= (6 + 2), (15 + 4), (12 + 1) = 8_ten, 29_ten, 13_ten in descending order

29_ten, 13_ten, 8_ten = 34_five, 21_six, 22_three

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

Correct Answer: Option D

Explanation

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