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Express the irrational number $0. 437 ¯$ in the form of $p q$ .

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437999

4371000

337999

537999

answer is A.

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Detailed Solution

It is given,

0. 437 ¯

is the irrational number.
To find the irrational number

0. 437 ¯

in the form of

p q

.
We know that,

⇒ x = 0. 437 ¯

⇒ x = 0.437437437437 … …

……(1)
Multiply the equation by

1000

⇒ 1000 x = 437.437437437 … …

……(2)
Subtract the equation (1) from (2),

⇒ 999 x = 437

⇒ x = 437999

Hence, the correct option is 1.

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