When you add two integers with the same sign, you simply add their absolute values and keep the same sign. For example, 3 + 5 = 8, and -3 + (-5) = -8. But, when you add integers with different signs, you subtract their absolute values and take the sign of the larger number.
Subtracting integers is similar, but you have to be careful with the signs. Remember, subtracting a negative number is the same as adding a positive number! So, 5 - (-3) = 5 + 3 = 8. Easy peasy, right?
Multiplying integers is where things get really interesting. When you multiply two integers with the same sign, you get a positive result. But, when you multiply integers with different signs, you get a negative result. For example, 3 × 5 = 15, and -3 × 5 = -15.