What is an Integer number?
- Integer numbers are the numbers that can be positive, negative, or zero, but cannot be a fraction
- The integers are generated from :
- a set of counting numbers 1, 2, 3, . . .
- And the operation of subtraction.
- When a larger number is subtracted from a smaller number, the result is a negative number. Example: 2 – 6 = – 4
Integer Number Examples
Integers Properties
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Integers are positive & negative numbers including zero :
-∞ …………………….-3, -2, -1, 0, +1,+ 2,+ 3,+ 4,+ 5………………………… + ∞
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If two integers are added the result is an integer number
- Example: 2+3 = 5, addition of natural numbers 2 & 3 is a integer number 5
- Example: (-2) + (-3) = -5, addition of two integers is a integer number -5
- If two integers are multiplied the result is an integer number
- Example: 2 x (-3) =-6, Multiplication of two integers is an integer -6
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A set of natural numbers is typically denoted by the symbol Z
- Z= {……-8,-7,-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8,……}
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Discrete: For each integer, we have a next integer and a previous integer, but no in-between integer exists.
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- Example:
- integer 5 – next integer is 6 & previous integer is 4
- There is no integer in-between 5 & 6 or in-between 4 & 5
- Example:
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- Integer -5 – next integer is -4 & previous integer is -6
- There is no integer in-between -4 & -5 or in-between -6 & -5
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An Integer |
Not An Integer number |
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| – ∞ ……………………-5 ,-4 -3 ,-2 ,-1 , 0 ,
+1 ,+ 2 ,+ 3 ,+ 4 ,+ 5 ,+ 6 , +7 ……………… + ∞ |
Decimals: 0.5, 4.12, 10.557 etc.
Fractions:5/7 ,1/3 ,73/100 etc. |