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Question:

Write down the decimal expansions of the rational numbers which have terminating decimal expansions. (i) 133/125 (ii) 17/8 (iii) 15/1600 (iv) 23/2352 (v) 6/15 (vi) 35/50

Solution:

The division of all the numbers is shown in figure.
(i) 133/125 = 0.00416
(ii) 17/8 = 2.125
(iii) 15/1600 = 0.009375
(iv) 23/2352 = 23/2352 = 0.115
(v) 6/15 = 0.4
(vi) 35/50 = 0.70
Here, all the decimal expansions are terminating.