What is the rule when you add a negative number and positive number?

a negative plus positive equals a negative-

"To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values. The result takes the sign of the integer with the larger absolute value. The sum of any integer and its opposite is equal to zero."

Step-by-step explanation:

Simpler Explanation: If you add a positive number with a negative number, the sign (negative/positive) of the sum is the same as the integer (number) with the largest absolute value. For example;

1. 10 + -12 = -2

Here, the sum has the same sign (negative) as the largest number in the equation (-12).

2. 7 + -3 = 4

Here, the sum has the sign (positive) as the largest number in the equation (7).