Operation of Integer: Addition

*Properties of Addition

• Commutative law à a + b  =  b + a
• Replacing number doesn't change the result
• Assosiative à (a + b) + c  =  a + (b + c)  =  (a + c) + b 
• Changing group doesn't change the result
• Close à integer + integer = integer
• The result of integer addition is an integer too
• It has an identity unsure
• Addition an integer by zero doesn't change the integer/ will get an equal number/ will get a same integer

Example:

1. Addition of positive and positive integer

    a. 1 + 2 = 3

    b. 15 + 31 = 46

    c. 117 + 95 = 212

    d. 575 + 426 = 1001

    e. 1204 + 808 = 2012

so, positive integer + positive integer = positive integer

2. Addition of positive and negative integer

    a. 10 + (-9) = 1

    b. 300 + (-410) = -110

    c. (-25) + 10 = -15

    d. (-70) + 80 = 10

positive integer + negative integer = positive/negative integer

3. Addition of negative and negative integer

    a. -10 + (-10) = -20

    b. -101 + (-1001) = -1102

    c. -2 + (-3) = -5

    d. -210 + (-150) = -360

    e. -75 + (-35) = -110

negative integer + negative integer = negative integer

INTEGER

    1. Definition

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Conclusion:

Integer number is a set of number that consist of natural number, zero, and all of the opposite of natural number.

…, -3, -2, -1, 0, 1, 2, 3, …

       

       2. Operation of Integer

• Addition
• Subtraction
• Multiplication
• Division
• Powering
• Rooting

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