Answer:
Explanation:
The size (magnitude) of the absolute value for each addend does not determine the sign of the sum. The sign of the sum depends on the individual signs (positive or negative) of the addends and their relative magnitudes. Here are some rules for addition with signed numbers:
1. If you add two positive numbers, the sum will be positive.
Example: 3 + 5 = 8
2. If you add two negative numbers, the sum will be negative.
Example: (-3) + (-5) = -8
3. If you add a positive number to a negative number, the sum's sign depends on the relative magnitudes.
- If the positive number is larger, the sum will be positive.
Example: 5 + (-3) = 2
- If the negative number is larger, the sum will be negative.
Example: 3 + (-5) = -2
So, while the absolute value (magnitude) of the numbers is important in determining their relative sizes, the sign of each addend plays a crucial role in determining the sign of the sum.