Question
How many digits are there in the repeating block of digits in the decimal expansion of \( \frac{17}{7} \)?
(a) 16
(b) 6
(c) 26
(d) 7
Solution
First, convert \( \frac{17}{7} \) into decimal form:
\[ \frac{17}{7} = 2.428571428571\ldots \]
The repeating block is:
\[ 428571 \]
This block has 6 digits.
Final Answer
✔ Correct option: (b) 6