Question

express the rational number up to three decimal places 1/7
please answer with full explanation ​

Answer 1

Answer:

The decimal expansion of 1/7 is not any kind of number. It is a series of digits representing the number. It is what we call a “numeral”.

Recognizing the distinction between numbers and numerals will help you avoid certain kinds of nonsense like “pi is infinite” or “irrational numbers don’t exist because you can’t have infinitely many digits”.

The decimal representation of 1/7 repeats. It is an example of a “repeating” decimal.

The period of the repetition of 1/7 is 6, which is one less than 7. When the period of repetition of 1/n is n-1, then n is said to be a “full reptend prime”. So 7 is a full reptend prime. This designation depends on the numeric base used.

Answer 2

Answer With Explanation

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