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1. Euclids Algorithm and Real Numbers
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Q21 of 128 Page 25

Which of the following numbers have terminating decimal expansion and why?

Here, the denominator is 125.

125 = 5 × 5 × 5


We can see that that 125 contains 5 as its prime factors.


Also, 211 is a prime number.


So, g. c. d(211, 125) = 1


Therefore,
has a terminating decimal expansion.


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Questions · 128
1. Euclids Algorithm and Real Numbers
1 2 3 4 5 6 1 1 1 2 3 4 1 1 1 1 2 2 2 2 3 3 3 4 4 4 4 4 5 6 7 8 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43
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