Shirali, Shailesh
(2023)
Interesting infinite, recurring decimals.
At Right Angles.
pp. 4345.
ISSN 25821873
Abstract
The case of the infinite decimal 0.1234567… We wish to find the fraction corresponding to the infinite decimal 0.1234567 .... Note that we are not simply writing the consecutive numbers one after the other to get the infinite decimal. Rather, there is a ‘carryover’ effect to the left as we write the successive numbers: once we get to 10, we must ‘carry’ the 1 to the left, which means it gets added to the 9; and so on. The natural question to ask is: what kind of number will emerge from this construction? Will it be a rational number? Let us look at the question more closely.
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