Question

express the following rational number as decimal by using long division method
17/200 and also mention terminating or non terminating decimals.​
dont spam

Answer 1

Answer:

17/200 =0.085

It has teminating decimal expansion

Step-by-step explanation:

____0.085

---------------------------------------------------

200| 1700

........| 1600

........|...........

........|__1000

........|__1000

........|.............

........|____0

........|..............

........|

Hence, $\frac{17}{200}$ has terminating decimal expansion.

Also any rational number of the form

$\frac{p}{2^m*5^n}$ will have

terminating decimal expansion.

We can write $\frac{17}{200}$ as

$\frac{17}{2^3*5^2}$

so, it will have terminating decimal expansion

Answer 2

Answer:

17/200 = 0.085

it is terminating decimal expansion.