What is the value of the following? \[ \begin{array}{l}6.999 \\ \text { floor }(4.999)+\operatorname{ceil}(2.0) \\ 7.0\end{array} \]
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To evaluate the expression given, we need to break it down into its components. 1. The first number is \(6.999\). 2. The second part of the expression is \(\text{floor}(4.999)\). The floor function returns the greatest integer less than or equal to the number. Therefore, \(\text{floor}(4.999) = 4\). 3. The next part is \(\text{ceil}(2.0)\). The ceiling function returns the smallest integer greater than or equal to the number. So, \(\text{ceil}(2.0) = 2\). 4. Now, we can sum the values together: \(6.999 + 4 + 2 + 7.0\). Calculating this step-by-step, we have: \[ 4 + 2 = 6 \] \[ 6.999 + 6 = 12.999 \] \[ 12.999 + 7.0 = 19.999 \] So, the final value of the expression is \(19.999\).