explain the ideal properties of closure
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explain the ideal properties of closure
The closure properties say that a set of numbers is closed under a certain operation if and when that operation is performed on numbers in the set, we get another number from that set. Real numbers are closed under addition and multiplication.
basically it is when the sum of two or more whole/integer numbers is equal to one whole/integer number
example: 17+3=20
17 and 3 are whole numbers and the sum of 20 is also a whole number, so the closure is closed with the sum
example2:17-3=-17
Since -17 is not an integer, subtraction is not closed under the closure property.
look I'm going to leave you other things
A SET THAT IS CLOSED UNDER AN OPERATION OR COLLECTION OF OPERTIONS IS SAID TO SATISFY A CLOSURE PROPERTY IS INTRUDUCED AS AN AXIOM,WHICH IS THEN USUALLY CALLED THE AXIOM OF CLOSURE.
FOR EXAMPLE, THE SET OF EVEN INTEGERS IS CLOSED UNDER ADDITIO, BUT THE SET OF ODD INTEGERS IS NOT.
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