Express the following in the form
, where p and q are integers and
.
(i)
(ii)
(iii)
Solution (i)
….
Let
….. (i)
Multiplying equation (i) by 10, we get
….. (ii)
Subtracting equation (i) from (ii), we get
Therefore,
Solution (ii)
….
Let
….. (i)
Multiplying equation (i) by 100, we get
….. (ii)
Subtracting equation (i) from (ii), we get
Therefore,
Solution (iii)
….
Let
….. (i)
Multiplying equation (i) by 1000, we get
….. (ii)
Subtracting equation (i) from (ii), we get
Therefore,
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