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how many different digits appear when 1/110 is written as a recurring decimal

Sagot :

The number of different digits that appear when [tex]\frac{1}{110}[/tex] is written as a recurring decimal is two digits i.e 9,0.

Given the fraction [tex]\frac{1}{110}[/tex]

Recurring decimal:  

A repeating decimal, also known as a recurring decimal, is a decimal representation of a number whose digits are periodic (repeating at regular intervals) and whose infinitely repeated portion is not zero. It is possible to demonstrate that a number is rational if and only if its decimal representation repeats or terminates.

⇒[tex]\frac{1}{110}[/tex]=0.0090909090.....

Therefore,The number of different digits that appear when [tex]\frac{1}{110}[/tex] is written as a recurring decimal is two digits i.e 9,0.

Learn more about Recurring decimal here:

https://brainly.com/question/820308

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