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.
- 27 ÷ 3 = 9, remainder 0
- 9 ÷ 3 = 3, remainder 0
- 3 ÷ 3 = 1, remainder 0
- 1 ÷ 3 = 0, remainder 1
Reading the remainders from bottom to top gives us 1000. So, $27_{10} = 1000_3$
Looking at the options, there seems to be an error as we should be expecting 10003 as the answer. However, since we need to pick from the options given, and 1000
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