Which of the following statement is wrong ?
Integers are closed under subtraction
Addition is commutative for integers
Subtraction is associative for integers
Addition is associative for integers
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a) integer are coled under subtraction
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True, because subtraction of any two integers is always an integer. Therefore, Integers are closed under subtraction.
Commutative property for addition: Integers are commutative under addition when any two integers are added irrespective of their order, the sum remains the same. The sum of two integer numbers is always the same. ... Thus multiplication and addition of integers are commutative.
Subtraction of integers is not associative in nature i.e. x − (y − z) ≠ (x − y) − z.
Adding integers will have the same result regardless of the grouping. The sum will not change even if the integers are grouped differently.
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