Discussion
If \(0.139 + 0.75 + 2.105 - (1.001) \times 1.1 = 2 - k\), then the value of k is
Answer: C
The value of k is 0.1071.
Multiplication comes before addition and subtraction, so first work out \(1.001 \times 1.1\), then simplify the left side.
\[ \begin{aligned} 1.001 \times 1.1 &= 1.1011 \\ 0.139 + 0.75 + 2.105 &= 2.994 \\ 2.994 - 1.1011 &= 1.8929 \end{aligned} \]
\[ \begin{aligned} 1.8929 &= 2 - k \\ k &= 2 - 1.8929 = 0.1071 \end{aligned} \]
Doing the operations strictly left to right, subtracting 1.001 before multiplying, gives a different and wrong value; 0.1075 and the others do not satisfy the equation once the product is taken first.
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