Express the following rational number as decimal by using long divisio

1.	Express the following rational number as decimal by using long division method17/200 and also mention terminating or non terminating decimals.dont spam
Answer» 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 $\frac{p}{2^m5^n}$ will have terminating decimal expansion. We can write $\frac{17}{200}$ as $\frac{17}{2^35^2}$ so, it will have terminating decimal expansion

Express the following rational number as decimal by using long division method17/200 and also mention terminating or non terminating decimals.dont spam

Answer»

Answer:

17/200 =0.085

It has teminating decimal EXPANSION

Step-by-step explanation:

____0.085

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

200| 1700

........| 1600

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

........|__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

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