Question

Does
$\frac{19}{200}$
have terminating decimal give reason.​

Answer 1

Answer:

Correct option is

A

325

We know that a terminating decimal is a decimal that ends. It's a decimal with a finite number of digits. For example 41=0.25, it has only two decimal digits.

Now consider the fraction 325 whose decimal form will be:

325=0.15625

The resulting decimal number ends with five decimal digits and therefore, it is terminating decimal.

Hence, 325 has a terminating decimal expansion.

While, 97=0.7777..., non-terminating,

 158=0.5333..., non-terminating

 and 97=0.08333..., non-terminating

Answer 2

Step-by-step explanation:

We can write this fraction as

$\frac{19}{200} = \frac{19}{2 \times 2 \times 2 \times 5 \times 5} = \frac{19}{ {2}^{3} \times {5}^{2} }$

Since denominator has only powers of 2 and 5 that's why it's terminating decimal .