0. 001 ¯ as a fraction in simplest form.A) 99 100 B) 1 999 C) 99 1000 D) 9 10

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0.      001    ¯   as a fraction in simplest form.A)       99    100  B)       1    999  C)       99    1000  D)       9    10

levaretzf35 · Accepted Answer

The correct answer is B.      1    999  Step 1: Finding 1000 times the given value.Let   x  =  0.      001    ¯  Next,  x  =  0.001001001001...  (  1  )Multiplying by 1000 on both sides of equation (1), we get  ⇒  1000  ×  x  =  1000  ×  0.001001...  ⇒  1000  ×  x  =  1.      001    ¯    .  .  .  (  2  )Step 2. Finding the value of x.On subtracting equation (2) from equation (1), we get  ⇒  1000  x  −  x  =  1.      001    ¯    −  0.      001    ¯    ⇒  999  x  =  1.0  ⇒  x  =      1    999  Therefore, the correct answer is B)       1    999

0.001 as a fraction in simplest form.

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