The symbol "ℤ" represents the set of all integers in mathematics. Integers include positive whole numbers, negative whole numbers, and zero. This means that the set of integers is ..., -3, -2, -1, 0, 1, 2, 3, .... The name "ℤ" comes from the German word "Zahlen," which means "numbers." Integers are essential in various areas of math, such as arithmetic, algebra, and number theory. They are used for counting, ordering, and performing calculations. Understanding integers helps build a foundation for more complex mathematical concepts and is crucial for everyday tasks like budgeting or measuring.