To convert 1278 from base 10 (decimal) to base 11, we follow these steps:

1. Divide the number by 11 and keep track of the quotient and the remainder.
2. The remainder is the least significant digit (rightmost) of the base 11 representation.
3. Continue dividing the quotient by 11 until the quotient is zero.

Let's begin:

1. \( 1278 \div 11 = 116 \) remainder \( 2 \)
2. \( 116 \div 11 = 10 \) remainder \( 6 \)
3. \( 10 \div 11 = 0 \) remainder \( 10 \) (which we write as 'A' in base 11, since 'A' represents 10)

Now, reading the remainders from bottom to top, the base 11 representation of 1278 is:

\[
1278_{10} = A62_{11}
\]

Would you like more details or have any questions?

Here are 5 related questions to practice:

1. Convert 256 from decimal to base 11.
2. What is 583 in base 11?
3. Convert 738 in base 10 to base 11.
4. How do you convert base 11 numbers back to decimal?
5. What is the base 11 equivalent of 345?

**Tip:** When converting to any base, dividing by the base and collecting remainders helps build the new base number from right to left.

Learn how to convert the number 1278 from decimal (base 10) to base 11 using the repeated division method. This guide provides a detailed, step-by-step solution suitable for students in Grades 6-8.

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