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Question

Express the following in the form, where p and q are integers and q ≠ 0.

(i) (ii) (iii)

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Solution

(i)

Let x = 0.666…

10x = 6.666…

10x = 6 + x

9x = 6

(ii)

Let x = 0.777…

10x = 7.777…

10x = 7 + x

(iii)

Let x = 0.001001…

1000x = 1.001001…

1000x = 1 + x

999x = 1




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