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Which list shows fractions that always result in a terminating decimal for values of n > 0?

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111, 1,121,11,331 ...,111n111, 1,121,11,331 ...,111n

110, 1,100,11,000 ...,110n110, 1,100,11,000 ...,110n

16, 1,36, 1216...,16n16, 1,36, 1216...,16n

13, 1,9, 127...,13n

Verified Answer :

I'all say the 2 line because if all those zeros are there then it will add to a zero. and Happy Valentine dat

MrRoyal

A terminating decimal is such that has an end.

The list that shows fractions that lead to terminating decimals is:

\(\frac{1}{10}, \frac{1}{100}, \frac{1}{1000} . . . , \frac{1}{10n}\)

To do this, we put each of the options to a test, till we get the true option

\((a)\ \frac{1}{11}, \frac{1}{121}, \frac{1}{1331} . . . , \frac{1}{11n}\)


Test the first term

\(\frac{1}{11} = 0.0909.....\) ---  The dots after 0.0909 means that the decimal has no end

\((b)\ \frac{1}{10}, \frac{1}{100}, \frac{1}{1000} . . . , \frac{1}{10n}\)

Test the first term

\(\frac{1}{10} = 0.1\) ---  This decimal has an end. It terminates at 1 decimal place

And this is true for all the remaining set in the list

Hence, the list that shows terminating decimals:

\((b)\ \frac{1}{10}, \frac{1}{100}, \frac{1}{1000} . . . , \frac{1}{10n}\)

Read more about terminating decimals at:

https://brainly.com/question/16616686

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