Integers

Definition

Integers are a set of numbers that include all whole numbers and their negative counterparts, including zero. They are represented by the symbol $\mathbb{Z}$.

5 Must Know Facts For Your Next Test

1. Integers include positive numbers, negative numbers, and zero.
2. The set of integers is denoted by the symbol $\mathbb{Z}$.
3. Integers can be added, subtracted, multiplied, and divided (except by zero) while still resulting in an integer.
4. The absolute value of an integer is its distance from zero on the number line.
5. Every integer has an additive inverse, which when added to the original number equals zero.

Review Questions

• What is the set notation symbol for integers?
• Is -7 considered an integer?
• What is the result when you add an integer to its additive inverse?

Related terms

Whole Numbers: A subset of integers that includes all non-negative integers (0, 1, 2,...).

Rational Numbers: Numbers that can be expressed as a fraction where both the numerator and denominator are integers.

Absolute Value: The distance of a number from zero on the number line, always non-negative.