What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1/7 ? Perform the division of check your answer.

Explanation

To find the maximum number of digits in the repeating block of digits in the decimal expansion of \( \frac{1}{7} \), we will perform the long division of 1 by 7 and observe the repeating pattern.

### Step-by-Step Solution:

1. **Set Up the Division**:
We want to divide 1 by 7. Since 1 is smaller than 7, we will start by adding a decimal point and a zero to make it 10.

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