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Real Numbers | Real Numbers Exercise 1.2

Question 7

A rational number in its decimal expansion is 327.7081. What can be concluded about the prime factors of q, when this number is expressed in the form p/q? Give reasons.

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327.7081 is terminating decimal so in the form of

\frac{p}{q}=\frac{3277081}{10000} \\q=2^4\times 5^4

So, q has only factors of 2 and 5 so it is terminating decimal.

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Question 7

A rational number in its decimal expansion is 327.7081. What can be concluded about the prime factors of q, when this number is expressed in the form p/q? Give reasons.

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

327.7081 is terminating decimal so in the form of

\frac{p}{q}=\frac{3277081}{10000} \\q=2^4\times 5^4

So, q has only factors of 2 and 5 so it is terminating decimal.

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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