RATIONAL NUMBER COMMUTATIVE PROPERTY
COMMUTATIVE PROPERTY OF INTEGERS ( PARTS OF RATIONAL NUMBERS)
COMMUTATIVE PROPERTY OF WHOLE NUMBERS ( PARTS OF RATIONAL NUMBER )
ADDITION
subtraction
MULTIPLICATION
it is closed whole numbers (part of rational number ) example 4 multiply 3= 3 multiply 4 ( as in both cases answer is 2020)
DIVISION
It is not closed under whole numbers ( part of rational number) example 4/2 is not equal to 2/4 ( in both the cases answer are different )
it is closed under whole numbers ( part of rational numbers ) example is 4+3= 3+4 ( as in both cases the answer is 7 even after the change or swapping of positions the answer is not changing )
It is not closed under whole numbers (part of rational numbers ) example 6-5(1) while 5-6(-1) so if the order changes in subtraction the result may be different .
ADDITION
DIVISION
SUBTRACTION
MULTIPLICATION
it is not closed under integers ( part of rational numbers )example is 6-(-3) = 9 while -3-6(-9) so we can see that if the order is changes in the operation subtraction the result can be different
it is closed under integers ( part of rational number ) example 5+(-6) the answer is -1 and if we swap the position of both the integers we get -6+5= -1( so we can conclude in the operation of addition the position of integers does not effect the result
it is not closed under integers ( part of rational numbers ) example is -9/-3 which = to 3 but if we swap the positions we get -3/9 which is equal to 1/3 ( and so we can conclude that if the operation is division then swapping of position can change the result
It is closed under integers ( part of rational numbers example 3-4 = -12 and if we swap the position we get -43 which also = to -12 ( so we can conclude that if the operation is multiplication the order of integers does not affect the result)
WE CAN CONCLUDE THAT COMMUTAIVE PROPERTY IS CLOSED UNDER MULTIPLICATION AND ADDITION IN RATIONAL NUMBERS AS WHOLE NUMBERS AND INTEGERS ARE TWO MAIN PARTS OF RATIONAL NUMBERS ( NATURAL NUMBERS ARE ALMOST SAME LIKE WHOLE NUMBER EXCEPT 0 BUT NATURAL NUMBERS HAVE SAME PROPERTIES AND ALL EXAMPLES OF WHOLE NUMBERS EXCEPT 0 ARE TRUE FOR NATURAL NUMBERS )