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To convert the decimal number \(143\) to base \(12\), we need to repeatedly divide the number by \(12\) and keep track of the remainders.

### Step-by-Step Conversion

1. **Divide 143 by 12:**
   \[
   143 \div 12 = 11 \quad \text{remainder } 11
   \]
   So, the remainder is \(11\), and the quotient is \(11\).

2. **Divide the quotient (11) by 12:**
   \[
   11 \div 12 = 0 \quad \text{remainder } 11
   \]
   The remainder is \(11\), and the quotient is \(0\).

3. **Collect the remainders from bottom to top:**
   The remainders are \(11\) and \(11\). In base \(12\), the digits from \(0\) to \(9\) are represented normally, and \(10\) is represented by the letter "A" and \(11\) by the letter "B".

   Therefore, \(11\) in base \(12\) is "B".

### Final Result

Combining the remainders, the number \(143\) in base \(12\) is:

\[
143_{10} = BB_{12}
\]

Would you like more details or have any questions about this conversion?

### Related Questions:

1. How do you convert numbers from base \(12\) back to decimal?
2. What are other methods for converting numbers between different bases?
3. How would you convert a fractional decimal number to base \(12\)?
4. What is the significance of different number bases in mathematics?
5. How do number bases apply in computer science, such as base \(2\) (binary)?

**Tip:** When converting numbers to other bases, start with the largest base power that fits into the number to simplify the process!

Learn how to convert the decimal number 143 to base 12 using a step-by-step method. Understand the process of base conversion, including the repeated division method. Suitable for students in Grades 6-8.

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