Find the Domain 253(seven)

Problem

253

Solution

1. Identify the base of the number system, which is 7

2. Recall the rule for positional notation that every digit in a base n number must be strictly less than n

3. Check each digit of the number 253 against the base 7

4. Verify that 2<7 5<7 and 3<7

5. Conclude that since all digits are valid within base 7 the domain of the digits is the set of integers {0,1,2,3,4,5,6}

Final Answer

Domain={0,1,2,3,4,5,6}

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