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MM 18
1) Without actually performing the long division state whether the following rational numbers
will have a terminating decimal expansion or a non-terminating repeating decimal expansion
If they have a terminating decimal expansion, then write their decimal expansion without
doing actual division
3
2x37
3
TO
1) 을
3430
21. The following real numbers have decimal expansions as given below In each case decide
whether they are rational or not
. If they are rational
, and of the form, what can you say
q
about the prime factors of q?
i) Inh... ) 13131331333
1) 4.739
iv) 43.123456789
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Answer:
I don't know
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every terminating number have its denominator as 2^n and 5^m were n and m are non negative integers ( zero and other positive numbers) . for example 4.739 = 4739/1000 = 4739/10^4 = 4739/2^3×5^3.
therefore any number having denominator as 2^n and 5^m we can conclude them as terminating decimal expansion and as rational number without doing actual long division method. we can say about q = 2^n and 5^m.
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