Question

decimal expansion of a rational number 43/2^4×5^3 will terminate after how many decimal places.

Answer 1

Hey mate, here is your answer....

We know that,
If the denominator of rational number can be expressed in the form of product of 2 and 5 only, then it's decimal form is terminating and it terminates after the highest power of the denominator, either it may be the power of 2 or 5.

So, as per above fact,

The decimal expansion of the rational number will terminate after 4 digits.

Hope helped....
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