explain me what is integers with some examples?

Answer 1

Leo Kronecker said, "God created the integers, all else is the work of man."

Of course, being a mathematician, he still had to work with all the other numbers, such as the rational fractions, irrational numbers, complex numbers, etc.

Integers are whole numbers such as -5, -4, -3, -2, -1, 0, 1, 2, 3, etc.

Considering Leo's attitude about numbers, I imagine:

1/2) He liked to count on his fingers

1 1/6) He never stuck his fingers in a lawn mower

Answer 2

Why give an easy answer when a complicated one is available.


integer:
A personal, modern definition, based on Archimedes's definition of whole numbers. (Archimedes had a rule to define all positive numbers -- see at the end). Compare it with the real 'modern' definition a bit further down.

a) 1 and -1 are integers.
b) if n is an integer, then n+1 and n-1 are integers.

If a number can be constructed using this rule, then it is an integer.

E.g.: 0:
1 is an integer. 1 - 1 = 0 therefore 0 is an integer.

Using a recursive algorithm:

Is 7 an integer?
it would be if 6 were an integer (because 6+1 = 7)
Is 6 an integer?
It would be if 5 were an integer
...
Is 2 an integer?
It would be if 1 were an integer.
Is 1 an integer? Yes (by definition)
Then, 2 is an integer
Then 3 is an integer
...
Then 7 is an integer.


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According to the source,
quote
Peano defined the positive integers as a set of elements which satisfies the following postulates:
(1) There is a positive integer 1.
(2) Every positive integer a has a 'consequent' a+ (a is called the 'antecedent' of a+),
(3) the integer 1 has no antecedent,
(4) if a+ = b+ then a=b
(5) every set of positive integers which contains 1 and the consequent of every number in the set, contains all the positive integers.
end quote

This sounds contrived but it can be applied to other fields, rings and groups. For example, in the cyclic group of order 7, the set {1, 2, 3, 4, 5, 6, 7} contains all the positive integers of that group. 7 is the "zero" of the set.
If you are to follow Peano's definition, the "zero field", a set that contains only the number 0, along with the normal addition and multiplication, has no integers.
But then, when studying rings and fields, you will be warned about the "zero field" (it always causes problems with definitions)

Guiseppe Peano (1858-1932)

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Archimedes rule is used to show that there is no such thing as a biggest number (if you think 'x' is the biggest number, the rule states that x+1 is also a number and is, therefore, bigger than 1). It is also used to show that there is no "smallest" strictly positive fraction (non-zero). If you have a fraction 1/x (where x is quite large) then the fraction 1/(x+1) is even smaller and is still not zero

Answer 3

The Integers are the numbers known informally as "whole numbers" (both positive and negative).

More precisely, the integers consist of the positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero

Answer 4

The Integers (Latin, integer, literally, "untouched," whole, entire, i.e. a whole number) are the numbers known informally as "whole numbers" (both positive and negative).

More precisely, the integers consist of the positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero

Answer 5

The set of numbers from -infinity to +infinity including zero are called integers.
Note that the denominator of every number is 1.
Every integer is a rational number also.
+4,+7------etc.
-9,-5,------etc are the examples

Answer 6

Integers are all whole numbers, negative and positive, including zero. No variables are allowed, no decimals and no fractions unless they simplify to a whole number.

Example: y: 7x+92.5

the integers in there is only seven. The x is a variable so its not an inetger. 92.5 is not a whole number, its a decimal so its not an integer. hope it helps

Answer 7

OK!

Integers are the positive and negative "whole" numbers, including zero.

They are:

...-3, -2, -1, 0, 1, 2, 3,...

Answer 8

a few integers for ya-

if 7 is x and 90 it 7 then the integer would be x.

if y is 5 and (8)<38 then the y integer would undoubtedly be 14.

hope this helps!

Answer 9

An integer is a whole number like one, two, zero or minus seven.

Answer 10

POSITIVE OR NEGATIVE NUMBERS INCLUDING ZERO ARE CALLED INTEGERS EXAMPLE -5, -6, -3, -1, 0 1,2, 79, 1150, 523875888888 ETC.