What are Integers?

3 Answers
May 31, 2015

Integers are counting numbers #{1, 2, 3,...}#, zero (#0#) and negative versions of counting numbers #{-1, -2, -3,...}#.

Some nice properties of the integers (#ZZ#) under addition (#+#) are as follows:

#n + 0 = n# for all integers #n#.

If #m# and #n# are integers, then #m+n# is an integer.

If #n# is an integer then there is an integer #m# such that #n+m = 0#.

In short, the integers are an example of a group under addition.

Nov 15, 2017

An integer can be defined as a whole number that is not a decimal or fraction, just the number itself

Nov 15, 2017

An integer is a whole number (Ex: 1, 5, 100)

Explanation:

An integer is a whole number that can be positive, negative, or zero. It cannot be a fraction.

Example:

Integers: -3, -2, -1, 0, 1, 2, 3, 4, 5, ...
NOT integers: 1/2, 0.33, #sqrt(2)#