Question

without actually performing the division, state whether the following rational numbers will have terminating decimal expansion or non-terminating repeating decimal expansion

(I) 15/80

(ii) 14/320

(iii) 131/165000

(iiii) 7/105

(v) 77/1890

(vi) 31/2000

(vii) 32/455

(viii) 25/50

(ix) 13/343

(x) 81/1800
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Answer 1

Answer:

(i) terminating (ii) terminating (iii) non terminating (iv) non terminating (v) non terminating (vi) terminating (vii) non trminating (viii) terminating (ix) non terminating (x)non terminating

explanation:

if the denominator is in the form of $2^n * 5^m$ then it is an terminating and if it has any other factor then 2 or 5 it is non. terminating reapiting decimal

hope you understood the answer properly thank u !! : )