Question on: JAMB Mathematics - 2024

To convert the decimal number 27 to base 3, 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, we get 1000. Therefore, $27_{10} = 1000_3$. However, since none of the options given matched with our solution, let's calculate the correct answer. The question seems to have a typo. Let's convert 27 (base 10) to base 3.

We divide 27 by 3:

• 27 / 3 = 9, remainder 0
• 9 / 3 = 3, remainder 0
• 3 / 3 = 1, remainder 0
• 1 / 3 = 0, remainder 1

So, reading the remainders from the bottom up, we get $1000_3$. Since this option is not available, we can assume the question has an error.