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
A terminating decimal is such that has an end.
The list that shows fractions that lead to terminating decimals is:
[tex]\frac{1}{10}, \frac{1}{100}, \frac{1}{1000} . . . , \frac{1}{10n}[/tex]
To do this, we put each of the options to a test, till we get the true option
[tex](a)\ \frac{1}{11}, \frac{1}{121}, \frac{1}{1331} . . . , \frac{1}{11n}[/tex]
Test the first term
[tex]\frac{1}{11} = 0.0909.....[/tex] --- The dots after 0.0909 means that the decimal has no end
[tex](b)\ \frac{1}{10}, \frac{1}{100}, \frac{1}{1000} . . . , \frac{1}{10n}[/tex]
Test the first term
[tex]\frac{1}{10} = 0.1[/tex] --- 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:
[tex](b)\ \frac{1}{10}, \frac{1}{100}, \frac{1}{1000} . . . , \frac{1}{10n}[/tex]
Read more about terminating decimals at:
https://brainly.com/question/16616686
