3. Express the following in the form P, where p and q are integers and q +0.
(iii) 0.001
6) 0.6
imag
next
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(i) 0.47
A
Express 0.99999 ... in the form P. Are you surprised by your answer? With you
teacher and classmates discuss why the answer makes sense.
What can the maximum number of digits be in the repeating block of digits in the
decimal expansion of 5? Perform the division to check your answer.
9
b. 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?
Write three numbers whose decimal expansions are non-terminating non-recurring.
-
- and
Find three different irrational numbers between the rational nun
Classify the following numbers as rational or irrational :
(ii) 1225
(m) 0 3796
(1)
G2
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