Question

Comment on the nature of the decimal expansion of the number 24\75
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Answer 1

Answer:

Since the denominator contains 75=5*5*3

and 3 gets cancelled with the numerator, and we can form 10 in the denominator by multiplying 4,

the decimal expansion is terminating

Step-by-step explanation:

Answer 2

Answer:

Ok, here's the correct answer.

Step-by-step explanation:

In the number 24/75;

The denominator can be written as:

5*5*3

i.e it contains a number other than 5 or 2.

It is not of the form 2^n*5^n

Therefore the decimal expansion will be non-recurring.

Hope you like my answer.