When adding integers with different signs, the key is to focus on the absolute values of the numbers and then apply the appropriate sign based on the larger absolute value. Here’s how it works:
- Identify the Signs: Determine the signs of the integers you are adding. You might have a positive integer and a negative integer, for example, +5 and -3.
- Compare Absolute Values: Ignore the signs momentarily and look at the absolute values. In the above example, the absolute values are 5 and 3.
- Subtract the Smaller Absolute Value from the Larger: Subtract the smaller absolute value from the larger one. Using our example, 5 – 3 = 2.
- Assign the Sign: The result will take the sign of the integer with the larger absolute value. Since 5 is positive and larger than 3, the answer is +2.
- Example with Different Values: Let’s say we have +8 and -5. The absolute values are 8 and 5. Subtract: 8 – 5 = 3. Since 8 is greater, the result is +3.
In summary, when adding integers with different signs:
- Determine the absolute values.
- Subtract the smaller absolute value from the larger.
- The sign of the result will be the same as that of the integer with the larger absolute value.
This method makes it straightforward to add integers with different signs, ensuring that you achieve the correct results while also enhancing your understanding of integer rules.