Question

The decimal representation of 93/1500 will br non terminating . is this statement true

Answer 1

we have denominetor=1500=2×2×3×5×5×5;we sea here the prime factor of 1500 is2,3,and5 :as we know factor of denominator 2and 5 having terminating but 3 having nonterminating

Answer 2

Answer:

Statement is not true.

Step-by-step explanation:

Given : The decimal representation of 93/1500 will be non terminating.

To find : The statement is true or not?

Solution :

If the denominator in the fraction is in the form of $2^m$ and $5^n$ then it is non-terminating decimal representation.

If the denominator in the fraction is not in the form of $2^m$ and $5^n$ then it is terminating decimal representation.

Now, First convert denominator in form,

$\frac{93}{1500}=\frac{93}{2^2\times 3\times 5^3}$

Since the denominator contain 3 as well.

So, the denominator in the fraction is not in the form of $2^m$ and $5^n$ then it is terminating decimal representation.

Therefore, Statement is not true.