Usig algebra explain why 1/10,11/100, 111/1000...of any number get closer and closer to 1/9 of that number?
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Answer:
) We can easily see that
Since,
Thus,
get closer and closer to
ii) From part (i),
We can write
∴
are excluded because they in these fractions numerator and denominator have common factors.
iii) The decimal forms in which a single digit repeat are generally those in which we get the same remainder after each step. These forms are called repeating or recurring decimal forms
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