## Real and Complex Numbers.

Mathcad stores all numbers as floating-point binary numbers, which are displayed as:

• whole numbers, for example, 345;
• decimals(with point serving as separator), for example, 2.456 ;
• common fractions, for example,;
• mixed numeral, for example, ;
• In the exponential form, for example, 2.654*1032 .

It is possible to assign the way computation results will be displayed. Mathcad does it with help of the menu Format, Result.. The dialogue box appears which lets the user enter the format of the result.

The example of various formats in use in order to display computation results is shown in the programme listing.

While performing operations with complex numbers in Mathcad it is important to take into consideration a few peculiarities of computing:

- for the multiple-valued function the programme returns value, which hades the minimal positively oriented angle with the positive direction of the real axis on the complex plane, for example, ;

- it is obligatory to keep in mind the specific character of performing arithmetic operations in Mathcad, , which are identical from point of view of mathematics but different what concerns the way they are recorded. The radical expression is regarded as real number, the power of number as a complex one, for example:

Mathсad offers a set of built-in functions in order to carry out operations with complex numbers, which are presented in the table.

Also, performing operations with complex numbers one should keep in mind, that |Z| defines the modulus of the complex number, while   is a number, complex conjugate with Z. For example:

In order to enter , one needs to enter Z, and then press the [*] button.