The addition of any two integers always gives a/an __.
Aju: Integers are closed under addition.
Ted: If you add any two integers, the result will always be an integer.
Which one of the following is correct and which one is not correct? Give reasons.
1) If 'a' is a rational number and 'b' is irrational, then a+b is irrational.
2) The product of a non-profit rational number with an irrational number is always irrational.
3) Addition of any two irrational numbers can be rational.
4) Division of any two integers is an integer.
The addition of any two natural numbers always leads to a natural number.