Question

0.1201201 express the following decimal in the form of p/q and write the prime factors of q. What do you observe

Answer 1

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Answer 2

0.1201201 in form of p/q is $\frac{1201201}{2^7\times 5^7}$ and the prime factor of q are in terms of 2 and 5.

Step-by-step explanation:

Given : Number 0.1201201.

To find : Express the following decimal in the form of p/q and write the prime factors of q ?

Solution :

As the number is terminating,

$0.1201201=\frac{1201201}{10000000}$

$0.1201201=\frac{1201201}{10^7}$

$0.1201201=\frac{1201201}{(2\times 5)^7}$

$0.1201201=\frac{1201201}{2^7\times 5^7}$

Hence, 0.1201201 in form of p/q is $\frac{1201201}{2^7\times 5^7}$ and the prime factor of q are in terms of 2 and 5.

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