Without actually performing the long division , state whether the following rational numbers have a terminating decimal expansion or non-terminating repeating decimal expansion.
(i) 1/7
(ii) 241/(2^3 5^2 )
(iii) 91/(2^3 5^4 )×1/7
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i) 1/7
= 0.142857
ii) 241/(2^3 5^2 )
= 241/2.100
= 120.5/100
= 1.205
iii) 91/(2^3 5^4 )×1/7
= 91/(8 * 625) x 1/7
= 91 / 5,000 x 1/7
= 91/35,000
= 0.0026
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