Short Answer TypeIf 
be a rational number. Such that the prime factorisation ofq is not of the form 2n5m, where n, m are non-negative integers. Then x has a decimal expansion which is non-terminating repeating. Is this statement true ?
The following real numbers have decimal expansions as given below. In each case, Find whether they are rational or not.
(i) 43.123456789 (ii) 0.101001000 ....
Use Euclid’s division algorithm to find the HFC of 867 and 255
Given integers are 867 and 255.
Clearly 867 > 255
Therefore, by applying Euclid’s division lemma to 867 and 255, we get
II. Since the remainder 102 ≠ 0, we apply division lemma to get,
III. We consider the new divisor 102 and new remainder 51 and apply division lemma to get,
The remainder at this step is zero. So, the divisor at this stage or the remainder at the previous stage i.e., 51 is the HCF of 867 and 255.
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