Question

How to express 0.325325 as rational numbers:

Answer 1

$\huge{HEY!!}$
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✴We have to express 0.325325 as a rational number:-

✴So, for converting it into a rational number, we have to remove decimal sign from it

✴As we can see that this number is a non - terminating reoccurring number.

✴Non terminating reoccurring number means that the process of long division will never stop andthe same digits will repeat again and again.

⚫Convert 0.325... into a rational number

▶Let 0.325 be x

▶x = 0.325 ----------------1

▶Multiply first equation by 1000

▶1000x = 325.325----------------2

▶Subtract equation 1 By 2

1000x = 325.325
x = 0.325
_____________
999x = 325
_____________

999x = 325

x = $\frac{325}{999}$

✔✔✔So, of we convert 0.325325 into rational number, we will get $\frac{325}{999}$.

▶Now, suppose 0.325325 is a terminating decimal expansion

▶For removing zero, we have to divide it by 1000000

▶So we can also write 0.325325 as 325325/1000000.