Decimal Placevalues

Pi Sisters
Topic: Number Theory
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A young lady, by the name of 3/7, is trying to check into a hotel. The hotel policy is the room number is assigned by the last digit in decimal equivalent to their name. The young lady struggles to find her last digit because 3/7 is a repeating decimal. Luckily, the hotel clerk shows mercy and lets her check in by the 15th digit to the right of the decimal point in her name.

Common Core Standards: 7.NS.2
Problem #: 
167 (2018-2019)
Problem Difficulty Level: 2 [?]