To add integers, the process depends on whether the integers have the same sign or different signs.
1. Adding Integers with the Same Sign:
- If both integers are positive, simply add them together, and the result is positive. Example: 3 + 2 = 5.
- If both integers are negative, add their absolute values together and the result is negative. Example: (-3) + (-2) = -5. The video example demonstrates this explicitly.
2. Adding Integers with Different Signs:
- Find the absolute value of each integer.
- Subtract the smaller absolute value from the larger absolute value.
- The result takes the sign of the integer with the larger absolute value.
Example:
- (-7) + 4: The absolute value of -7 is 7, and the absolute value of 4 is 4. 7 - 4 = 3. Since -7 has a larger absolute value, the result is negative. Therefore, (-7) + 4 = -3.
In Summary:
The key to adding integers lies in understanding how the signs interact. Same signs mean add and keep the sign. Different signs mean subtract the absolute values and take the sign of the number with the larger absolute value.
