Integer Definition:
An integer is a positive or negative
whole number (including 0). This cannot be a fraction.
Integer Notation
We represent the set of integers as ℤIntegers extend from but do not include (-∞, ∞)
What do Integers Include?
Natural (Counting) Numbers (ℕ) (1, 2, 3, 4, ...)Whole Numbers (0, 1, 2, 3, 4, ...)
Negative Counting Numbers (..., -4, -3, -2, -1)
What do Integers NOT Include?
Rational Numbers (ℚ) (Fractions, Decimals) (1/2, 0.8, 3.5, ... )Irrational Numbers (like π, Euler's Number (e) = 2.718281828459, √2, etc)
Positive Infinity ∞
Negative Infinity -∞
Imaginary Numbers like i = √-1
Properties of Integers
Positive integers are to the right of 0 on a number lineNegative integers are to the left of 0 on a number line
As we move right on the number line, integers increase in value
As we move left on the number line, integers decrease in value
Extend infinitely (but do not include infinity)
Any non-zero integer is either negative or positive.
Properties of Integers:
Visit our search pageIntegers Calculator:
Integer CheckHow does the Integers Calculator work?
Free Integers Calculator - This lesson walks you through what integers are, how to write integers, integer notation, and what‘s included in integers
What 1 formula is used for the Integers Calculator?
ℤ → (-∞, ∞)
What 5 concepts are covered in the Integers Calculator?
- integers
- natural number
- the positive integers (whole numbers)
1, 2, 3, ... - number
- an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.
- property
- an attribute, quality, or characteristic of something
- whole
- numbers that include natural numbers and zero
