Keyword Analysis & Research: repeating decimal 3

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How many repeating decimals in 1/3 as a decimal?

The repeating decimals (recurring digits) go on forever. 0. 3 3 3 ... As you can see, the repeating digits are 3 which will repeat indefinitely. When we counted the repeating decimals, we found that there are 1 repeating decimals in 1/3 as a decimal.

How do you make a terminating decimal into a repeating decimal?

However, every number with a terminating decimal representation also trivially has a second, alternative representation as a repeating decimal whose repetend is the digit 9. This is obtained by decreasing the final (rightmost) non-zero digit by one and appending a repetend of 9.

Is the recurring decimal 3 a rational number?

The recurring decimal 0. 3 can be written as a ratio of two integers having 1 as the numerator and 3 as the denominator. So, it is a rational number (named after ratio). It can be shown that a number is rational if its decimal representation is repeating or terminating.

How do you know if a fraction is a repeating decimal?

A fraction in lowest terms with a prime denominator other than 2 or 5 (i.e. coprime to 10) always produces a repeating decimal. The length of the repetend (period of the repeating decimal segment) of 1 p is equal to the order of 10 modulo p.


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