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(1)Whole Numbers: This set is closedonly under addition and multiplication. Integers: This set is closed only underaddition, subtraction, and multiplication. Rational Numbers: This set is closed under addition,subtraction, multiplication, and division (with the exception of division by 0).
(2)In ordinary arithmetic, the expression has no meaning, as there is no number which, multiplied by 0, gives a (assuming a≠0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 0/0 is also undefined; when it is the form of a limit, it is an indeterminate form.
(2)In ordinary arithmetic, the expression has no meaning, as there is no number which, multiplied by 0, gives a (assuming a≠0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 0/0 is also undefined; when it is the form of a limit, it is an indeterminate form.
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