Answer the following statements true (T) or false (F)

1. When C++ is working with an operator, it strives to convert the operands to the same type.
2. When a program uses the setw manipulator, the iosetwidth header file must be included in a preprocessor directive.
3. The following statement will output $5.00 to the screen:
cout << setprecision(5) << dollars << endl;

4. In C++, it is impossible to display the number 34.789 in a field of 9 spaces with 2 decimal places of precision.
5. The fixed manipulator causes a number to be displayed in scientific notation.

1. T
2. F
3. F
4. F
5. F