What is the rule for adding integers with different signs?

Solution:

Integers are the numbers that can be positive, negative, or zero, numbers with no fractional part.

In the case of integers, the addition operation might lead to an increase or decrease in the value of the given number. If we add a negative integer, the value of the given number will decrease and if we add a positive integer the value will increase. 

Consider the integer addition  -7 + 3

1. We retain the sign of the absolute value of the bigger number which is (-) 
2. Perform subtraction of the absolute value of the given numbers, 7-3  = 4
3. Append the - sign to the answer above. Therefore -7 +3  = -4. 

Therefore, the rule for adding integers with different signs is to retain the sign of the absolute value of the bigger number, subtract the absolute value of the bigger number from the smaller number.

What is the rule for adding integers with different signs?

Summary:

The rules for adding integers with the different sign is to retain the sign of the absolute value of the bigger number, subtract the absolute value of the bigger number from the smaller number.