
{......3,2,1,0,1,2,3,......} is called the set of Integers and is denoted by 'Z'.Properties of Integers in AdditionCommutative : For any two integers a, b; a+b = b+a. Associative : For any three integers a, b, c; a+(b+c) = (a+b)+c.
Identity : For any integer a; a+0 = 0+a = a.
Inverse : For any integer a; a+(a) = (a)+a = 0. Properties of Integers in MultiplicationCommutative: For any two integers a, b; a*b = b*a. Associative: For any three integers a, b, c; a*(b*c) = (a*b)*c. Identity: For any integer a; a*1 = 1*a = a. Directions: Answer the following questions. With examples, show why the properties doesn't' work for subtraction and division. Also, write five examples of your own for each property of integers. 