Question

Which of the following statements is not true?

1. When two positive integers are added, we always get a positive integer.
2. When two negative integers are added, we always get a negative integer.
3. When a positive integer and a negative integer are added, we always get a negative integer.
4. Additive inverse of an integer $2$ is $(-2)$ and additive inverse of $(-2)$ is $2$.

Answer 1

1. True. When two positive integers are added, the resultant number is also a positive integer.
2. True. While adding integers, if both the numbers have the same sign, the resultant number also gets that sign.
3. False. While adding the integers of different signs, the resultant number gets the sign of the greater number.
4. True. The additive inverse of an integer is the same integer value, with the opposite sign.