Question

1) Express 0.99999 … in the form /
where q≠
2) What can be the maximum number of digits in the repeating block of digits in the
decimal expansion of /? Perform the division to check your answer.
3) Write three numbers whose decimal expansions are non-terminating nonrecurring.
4) Classify the following numbers as rational or irrational.
(i) √23 (ii) √225 (iii) 0.3796 (iv) 7.478478... (v) 1.101001000100001...

Answer 1

Answer:

1) 10/9

2) The value of divisor -1

3) √2, √3, √5

4)i) irrational,ii) rational,iii) rational,iv) rational,v) irrational