(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:

S t e p   1 :   78.374625   ×   103   =   78374.625 S t e p   2 :   78374.625   +   0.5   =   78375.125 S t e p   3 :   R e t a i n i n g   t h e   i n t e g e r   p a r t   =   78375 S t e p   4 :   78375   d i v i d e d   b y   103   =   78.375

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.