The value of 1.999 ___in the form where p and q are integers and q 0, is
(A)
(B)
(C)2
(D)
Answer. [C]
Solution.
Let x = 1.999……
Since, one digit is repeating, we multiply x by 10
we get, 10x = 19.999……..
so, 10x = 18 + 1.999………
10x = 18 + x
Therefore, 10x – x = 18, i.e., 9x = 18
i.e.,
Hence option C is correct answer.
Answer. [C]
Solution.
Let x = 1.999……
Since, one digit is repeating, we multiply x by 10
we get, 10x = 19.999……..
so, 10x = 18 + 1.999………
10x = 18 + x
Therefore, 10x – x = 18, i.e., 9x = 18
i.e.,
Hence option C is correct answer.