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If \(x = 1.011 + 10.11 - 12.101 + 0.1011\), then what should be added to x to get the sum as 1.1 ?

  • A.1.9789
  • B.0.3111
  • C.0.2211
  • D.1.1311

Answer: A

The number to be added is 1.9789.

First find x, lining up the decimal places:

\[ \begin{aligned} x &= 1.011 + 10.11 - 12.101 + 0.1011 \\ &= 11.2221 - 12.101 = -0.8789 \\ 1.1 - (-0.8789) &= 1.9789 \end{aligned} \]

Because x is negative, more than 1.1 must be added. 0.2211 is what you get by treating x as +0.8789, and 0.3111 and 1.1311 come from misaligning the decimal places.

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