What do you observe? Is the sum of two integers always an integer?
Did you find a pair of integers whose sum is not an integer?
Since addition of integers gives integers, we say integers are closed under addition in general, for any two integers a and b, is an integer.
In general, for any two integers a and b, a +b is an integer.
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Finally, we have the statement that "the sum of two integers is integer", which just falls out: inductively the sum of two naturals is natural, and this property gets inherited by the equivalence classes, so we get that the sum of two integers is integer.
NO because the sum of integers is always a integer
The integers are "closed" under addition, multiplication and subtraction, but NOT under division ( 9 ÷ 2 = 4½). (a fraction) between two integers. Integers are rational numbers since 5 can be written as the fraction 5/1.
yes,For any two integers a and b, a + b is an integer.
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