without doing actual division find whether 32_45 and 123_250 have terminating decimal representation
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Step-by-step explanation:
Correct option is
B
(i), (ii), (v), (vi) and (viii)
The rational not having denominator as multiple of 2
m
×5
n
will be non terminating.
(1)
16
7
=
2×2×2×2
7
− denominator is multiple of 2
m
×5
n
hence terminating.
(2)
125
23
=
5×5×5
23
-- denominator is multiple of 2
m
×5
n
hence terminating.
(3)
14
9
=
7×2
9
-- denominator is not multiple of 2
m
×5
n
hence non-terminating
(4)
45
32
=
3×3×5
32
-- denominator is not multiple of 2
m
×5
n
hence non-terminating.
(5)
50
43
=
5×5×2
43
-- denominator is multiple of 2
m
×5
n
hence terminating.
(6)
40
17
=
2×2×2×5
17
-- denominator is multiple of 2
m
×5
n
hence terminating.
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