Integers Flashcards, test questions and answers

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What is Integers?

Integers are whole numbers that can be written without a fractional or decimal component. They include negative numbers, zero and positive numbers without any fractions or decimals. Integers have many uses in mathematics, such as counting objects and measuring distances. They are also used to represent the amount of money, time intervals or other values that cannot be expressed with fractions or decimals.The set of integers is denoted by Z which stands for Zahlen (German for numbers ). The operations on integers include addition, subtraction, multiplication and division. These operations are similar to those performed on real numbers but the result might differ due to the lack of fractional components in integers. For example, when dividing two integers there may not be a remainder because all integer results must be whole numbers.In algebraic equations involving only integers it is possible to solve them using methods such as substitution, elimination or factoring polynomials. When solving linear equations involving both rational and irrational components it can be difficult to find an exact solution so approximations will often need to be made which involve rounding off the irrational parts into their nearest integer value(s). Integers are important in computer science as they allow computers to represent information accurately with minimal memory usage compared with other data types such as floating point numbers which require more space for storage and processing power due to the presence of decimal points in their values. Binary systems use integers exclusively where each bit represents either a 0 or 1 depending on whether it is active or inactive respectively; this allows computers great flexibility when handling complex algorithms as bits can easily move between states at high speeds which wouldn’t necessarily occur if they were represented using non-integer data types such as characters and strings. As well as this binary arithmetic operations like addition and subtraction can take place quickly allowing CPUs greater speed during calculations than if they had to process floats instead making integral based programming languages ideal for dealing with complicated data sets efficiently while still offering good precision levels when working with small amounts of information too.