4. Express 0.99999 .... in the form P. Are you surprised by your answer? With your
9
teacher and classmates discuss why the answer makes sense.
block of digits in the
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Answered by
8
1
yes, it happens because here 9 is recurring and as it is increasing its difference from 1 is getting reduced so when it will be expressed in the form of p/q . it will give 1 as a result.
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Answered by
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ᴀɴswᴇʀ :-
Let 0.999.. be x
x = 0.999... (1)
multiplying both sides by 10
we get,
10x = 9.99... (2)
now,
subtracting eq (1) from (2)
10x - x = 9.99.. - 0.99..
9x = 9
x = 1
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