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  • A rational number in its decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the form pbyq Give reason.

A rational number in its decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the formp/q? Give reason.

Answers (1)

The given decimal number is 327.7881.

                      327\cdot 7081= \frac{3277081}{10000}= \frac{p}{q}
The q is 10000, therefore its prime factorization, can be written as:
q = 10000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5                      
  = 24 × 54 = (2 × 5)4

Posted by

infoexpert27

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