A) Divide the numbers 1 to 8 by 9. Observe the decimals and di observation of non-terminating recurring decimals.
b) Divide the numbers 1 to 10 by 11 and discuss your observat
terminating recurring decimals so obtained.
:) Write any four rational numbers having the denominator 2
2, then express them in decimals. Are the decimals always te
Write the remarks of your investigation.
Write any two rational numbers having the denominator 5 or
Express them in decimals. Are the decimals always terminatin
remarks of your investigation.
Write any two rational numbers having the denominator 10 or
Express them in decimals. Are the decimals always terminati
remarks of your investigation.
The decimals of rational numbers with denominators 3 or mu
numerator is not the multiple denominator, are always non- terminating recurring. Verify it by four examples.

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)