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RATIONAL NUMBER COMMUTATIVE PROPERTY - Coggle Diagram
RATIONAL NUMBER COMMUTATIVE PROPERTY
COMMUTATIVE PROPERTY OF INTEGERS ( PARTS OF RATIONAL NUMBERS)
ADDITION
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
DIVISION
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
SUBTRACTION
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
MULTIPLICATION
It is closed under integers ( part of rational numbers example 3
-4 = -12 and if we swap the position we get -4
3 which also = to -12 ( so we can conclude that if the operation is multiplication the order of integers does not affect the result)
COMMUTATIVE PROPERTY OF WHOLE NUMBERS ( PARTS OF RATIONAL NUMBER )
ADDITION
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 )
subtraction
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 .
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 )
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 )
