12. which of the following is a terminating decimal (
A) 1 /121
B) 2/ 122
C) 4/124 D) 5/125
Answers
Answer:
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Answer:
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Step-by-step explanation:
9th
Maths
Number Systems
Real Numbers and their Decimal Expansion
Which of the following will...
MATHS
Which of the following will have a terminating decimal expansion?
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ANSWER
We know that the divisor of the forms 2
n
5
m
always form a terminating decimal number. Let us simplify the expressions and find if the expansion have a terminating decimal expansion.
Option A :
210
77
=
2×3×5×7
7×11
=
2×3×5
11
Since there is a factor of 3 in the denominator, the decimal expansion will not be terminating.
Option B :
30
23
=
2×3×5
23
Since, the denominator contains a power of 3 , it is non-terminating.
Option C :
441
125
=
3×3×7×7
5×5×5
This is also non-terminating.
Option D :
8
23
=
2×2×2
23
This contains power of 2 in the denominator. Hence, the decimal expansion is terminating.