1 Integers - 1.1 Adding and Subtracting Integers
Different Ways to Explain Adding and Subtracting Integers
Here are several ways to understand adding and subtracting integers:
1. **Number Line Method**:
- Adding a positive number means moving to the right on the number line.
- Adding a negative number means moving to the left.
- Subtracting a number is the same as adding its opposite.
Example: 5 - 3 = 5 + (-3) = 2
2. **Counters Method**:
- Use positive (e.g., red) and negative (e.g., blue) counters.
- Cancel out equal pairs of positive and negative counters.
- Count the remaining counters to find the result.
3. **Rules Method**:
- Same signs: Add and keep the sign.
Example: -4 + (-3) = -7
- Different signs: Subtract and take the sign of the number with the larger absolute value.
Example: -7 + 4 = -3
4. **Real-Life Examples**:
- Money: If you owe $5 and earn $3, you still owe $2. (-5 + 3 = -2)
- Temperature: If it's -2°C in the morning and the temperature drops by 3°C, it becomes -5°C. (-2 -
