You know that 1/7 = I.142857 bar. Can you predict what the decimal expansions of 2/7, 3/7, 4/7, 5/7, 6/7 are, without actually doing the long division? If so, HOWAND WHY?
Asked by Shashi Bushan | 10th Mar, 2017, 06:58: PM
This can be done using multiplication. But there is no need to do that even. Directly you can observe the decimal part of 1/7.
To multiply 2(1/7), we shift the decimal two places to the right.
Similarly, to multiply 2(1/7), we shift the decimal point, three places to the right.
The same can be done for the others.
This happens since 1/7 is recurring and hence you will get the same remainders again and again after a certain pattern.
Answered by Rebecca Fernandes | 10th Mar, 2017, 09:03: PM
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