Chapter 6.2, Problem 11E

(Numerical) a. The following is an extremely useful programming algorithm for rounding a real number to n decimal places:

Step 1: Multiply the number by ${10}^n$

Step 2: Add 0.5

Step 3: Delete the fractional part of the result

Step 4: Divide by ${10}^n$

For example, using this algorithm to round the number 78.374625 to three decimal places yields:

$\begin{array}{l}\begin{array}{l}Step1:78.374625\times 103=78374.625\hfill \\ Step2:78374.625+0.5=78375.125\hfill \\ Step3:Retainingtheintegerpart=78375\hfill \end{array}\\ Step4:78375dividedby103=78.375\end{array}$

Using this algorithm, write a C++ function that accepts a user-entered value and returns the result rounded to two decimal places.

b. Enter, compile, and run the program written for Exercise 11a.