Classify the following numbers as rational or irrational:
(i)
(ii)
(iii) 0.3796 (iv)
…. (v)
(vi) 1.101001000100001…
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Classify the following numbers as rational or irrational:
(i)
(ii)
(iii) 0.3796 (iv)
…. (v)
(vi) 1.101001000100001…
Write three numbers whose decimal expansions are non-terminating non-recurring.
Answer:
Ist Number: 8.554821547……
2nd Number: 5.5784126578345…
3rd Number: 1.487123987245781………
Look at several examples of rational numbers in the form
(q ≠0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy?
What can the maximum number of digits be in the repeating block of digits in the decimal expansion of
?Perform the division to check your answer.