the+decimal+expansion+of+K/2^5*3^2+is+terminating.The+value+of+K+can+be+equal+to
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Solution:
It is given that,
is a terminating decimal.
We should make the Denominator of the form (2^n × 5^m)
K = 5^5 × 3²
Now ,
K/[2^5×3²]
= (5^5×3²)/[2^5×3²×5^5]
= 28125/(2^5×3²×5^5)
Therefore,
K = 28125
Verification:
K/[2^5×3²]
= 28125/[2^5×3²×5^5]
= 3125/[2^5×5^5]
= 3125/(2×5)^5
= 3125/10^5
= 0.03125 [ terminating decimal]
••••
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