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?
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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.
Express 0.99999…. in the form
. Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense.
You know that
. Can you predict what the decimal expansions of
,
,
,
,
are, without actually doing the long division? If so, how?