Question on: JAMB Mathematics - 2024

Convert 2710 to another number in base three

A
10013
B
10103
C
11003
D
10003
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Correct Option: D

To convert the base-ten number 27 to base three, we repeatedly divide by 3 and record the remainders.

  1. 27 ÷ 3 = 9, remainder 0
  2. 9 ÷ 3 = 3, remainder 0
  3. 3 ÷ 3 = 1, remainder 0
  4. 1 ÷ 3 = 0, remainder 1

Reading the remainders from bottom to top gives \(1000_3\).

Therefore, the correct conversion is \(27_{10} = 1000_3\).

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