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

Assessment: WAEC SSCE - General Mathematics - 2009 (Objective) Subject: General Mathematics

Question 1 Report

Arrange the following numbers in descending orders of magnitude: 22three, 34five, 21six
Answer Details
To compare these numbers, we need to convert all of them to the same base. Let's convert them all to base 10 for simplicity: - 22three = 2\*31 + 2\*30 = 6 + 2 = 8 - 34five = 3\*51 + 4\*50 = 15 + 4 = 19 - 21six = 2\*61 + 1\*60 = 12 + 1 = 13 So, in base 10, the numbers are 8, 19, and 13. To arrange them in descending order of magnitude, we simply sort them from largest to smallest: - 19, 13, 8 Therefore, the correct answer is: 34five, 21six, 22three
Read lesson note on Number Bases (WAEC)
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