Question

true or false the sum of two integers is always an integer​

Answer 1

True

It is true that the sum of two integers is always an integer.

Step-by-step explanation:

• We must know that the set of integers is closed under addition, subtraction and multiplication.

• This means that when we add two integers or subtract one integer from another or multiply two integers, the resulting number is always an integer.

• For example, 1 + 3 = 4, 1 - 3 = - 2, 1 × 3 = 3, etc.

• However division is not closed for the set of integers. For example, 7/8 is a rational number, not an integer. Also, 0/0 is indeterminate.

• We can also remember that when we add two positive integers, we will get a positive integer.

• When we add two negative integers, we get a negative integer.

• However if we add one positive integer and one negative integer, the result depends on whose modules value is greater. For example, 7 - 2 = 5, but 2 - 7 = - 5.

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