Question

Addition,subtraction, And multiplication are said to be closed for integers that is when you add subtract or multiply integers the result is also an integer. Is division closed for integers?Explain???

Answer 1

a/b + c/d = (ad+bc)/bd, so closed under addition.

a/b - c/d = (ad-bc)/bd, so closed under subtraction.

a/b * c/d = (ac)/(bd), so closed under multiplication.

a/b / c/d = (ad)/(bc), so closed under division.

Explanation:

Answer 2

The set of integers is closed under addition, subtraction, and multiplication because when I add, subtract, or multiply any integers, the result is always an integer. The set is not closed under division because 2 + 4 = 0.5, and 0.5 is not an integer.