after how many places will the decimal expansion of 28/2^5×5^7 terminate?
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Answer:
2
3
5
2
23
=
2(2)
2
(5)
2
23
=
2(2×5)
2
23
=
2(10)
2
23
=
100
11.5
=0.115
Therefore, the decimal expansion of the rational number
2
3
5
2
23
will terminate after three places of decimal.
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