Integers

Integers are whole numbers, including positive numbers, negative numbers, and zero. They do not contain any fractional or decimal components. The set of integers is often represented by the symbol Z, and it includes numbers like -3, -2, -1, 0, 1, 2, and 3, continuing infinitely in both directions. They are fundamental in mathematics and computer science and are essential for counting, arithmetic operations, and representing discrete quantities.

Integers meaning with examples

• In a bank transaction, the deposit and withdrawal amounts can be represented by integers. A deposit might be +500, and a withdrawal -200. Using integers clarifies increases and decreases in the account balance, crucial for accounting and financial record-keeping, enabling precise tracking of money movement.
• When working with temperatures, integers help represent values above and below zero. For example, -10°C indicates a temperature ten degrees below freezing while +20°C shows a temperature twenty degrees above freezing, using the integers facilitates a direct comparison of temperature fluctuations.
• In a game, the number of points scored or lost in each round is expressed by integers. If a player gains 10 points, it is represented by +10, while losing 5 points is shown by -5. The running score is calculated through integer addition and subtraction, ensuring an accurate record of the game's outcome.
• On a number line, integers are arranged at equal intervals, from negative to positive, through zero, aiding the visualization of their relative values and relationships. For example, -5 is less than -1, and 3 is greater than -2, thus, making it convenient to compare magnitude and conduct numerical operations.