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Express 0.00323232... in the form of $p q$ , where p and q are integers and q is not equal to zero.

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62410

82410

82475

62475

answer is C.

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Detailed Solution

It is given that the number is 0.00323232...
Let

x = 0.00323232

…(i)
Multiplying on both sides of eq. (i) by 100, we get

100 x = 0.3232...

…(ii)
Multiplying on both sides of eq. (ii) by 100, we get

10000 x = 32.3232...

…(iii)
Subtracting Eq. (ii) from Eq. (iii), we get

10000 x − 100 x = 32.32... − 0.3232...

9900 x = 32

x = 329900 = 82475

Therefore, the correct option is (3).

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