8. 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 p/q? Give reasons
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Answer:
327.7081 is terminating decimal number. So, it represents a rational number and also its denominator must have the form
<br> Thus, 327.7081=
<br>
<br>
<br> Hence, the prime factors of q is 2 and 5.
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Step-by-step explanation:
327.7081 can be represented in a p/q form
so that's 3277081/1000
The prime factors of 1000 are 2×500=2×100×5=2×2×50×5=2×2×2×25×5=2^4 × 5^3
Ans. 2^4 × 5^3 are the prime factors of the denominator, 1000 and 327.7081 can be represented in p/a form.
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