Question

terminating decimal or non-terminating decimal 24 by 400​

Answer 1

Given:

24 by 400

To find:

The given decimal is terminating or non-terminating

Solution:

We have given the fraction as 24 by 400

without doing the actual division we can find the decimal is terminating or non-terminating

For that, we have to do prime factorization of the denominator

• 400 = 2×2×2×2×5×5

here you can see that we have only 2 and 5 and from the rule of the termination of the decimal of the fractional value:

If the denominator of the fraction has the factors as the 2 and 5 only then the decimal of the fraction will terminate

So the decimal of 24 by 400 will be a terminating decimal