the periodicity of a number is 6 what type of a decimal is it
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the decimal can be called as "non terminating but repeating decimal".
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The periodicity of a number is 6, it is a Recurring Decimal.
- A number whose digits are repeating their values at regular intervals and whose infinitely repeated portion is not zero is represented as a repeating decimal, also known as a recurring decimal.
- If and only if a number's decimal representation repeats or terminates, it can be demonstrated that the number is rational.
- One can use long division to change a rational number that is expressed as a fraction into decimal form.
- There are only a finite number of possible remainders for any given divisor. The expansion comes to an end if the remainder is zero at any point during the division. The repetend's duration, which is also known as its "period," is then determined to be 0.
- If there is never a remainder of 0, the division process will go on indefinitely and a previously occurring remainder will eventually appear. The same new quotient digit and new remainder will result from the following division step as they did the previous time the remainder was the same. As a result, the same outcomes will be repeated in the subsequent division.
- Hence, It will be a Non-terminating repeating decimal.
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