Question
For (7 + (-2)):
Start with 7 positive tiles and 2 negative tiles.
Create 2 zero pairs (each pair consisting of one positive and one negative tile).
After removing the zero pairs, 5 positive tiles remain.
So, (7 + (-2) = 5).
Start with 7 positive tiles and 2 negative tiles.
Create 2 zero pairs (each pair consisting of one positive and one negative tile).
After removing the zero pairs, 5 positive tiles remain.
So, (7 + (-2) = 5).
Answers
GPT-4o mini
Your explanation of (7 + (-2)) using tiles is clear and accurate. Let's break it down step by step:
1. **Start with the initial tiles**: You have 7 positive tiles and 2 negative tiles. This represents the expression \(7 + (-2)\).
2. **Create zero pairs**: A zero pair consists of one positive tile and one negative tile. You can pair 2 positive tiles with 2 negative tiles to create 2 zero pairs.
3. **Remove the zero pairs**: By removing these 2 zero pairs from your collection, you will eliminate the negative tiles and 2 of the positive tiles. After this step, you have:
- 7 positive tiles - 2 positive tiles (used in pairs) = 5 positive tiles remaining.
4. **Conclusion**: After removing the zero pairs, you have 5 positive tiles left. Therefore:
\[
7 + (-2) = 5
\]
This method visually and conceptually illustrates how addition works with positive and negative numbers. Well done!
1. **Start with the initial tiles**: You have 7 positive tiles and 2 negative tiles. This represents the expression \(7 + (-2)\).
2. **Create zero pairs**: A zero pair consists of one positive tile and one negative tile. You can pair 2 positive tiles with 2 negative tiles to create 2 zero pairs.
3. **Remove the zero pairs**: By removing these 2 zero pairs from your collection, you will eliminate the negative tiles and 2 of the positive tiles. After this step, you have:
- 7 positive tiles - 2 positive tiles (used in pairs) = 5 positive tiles remaining.
4. **Conclusion**: After removing the zero pairs, you have 5 positive tiles left. Therefore:
\[
7 + (-2) = 5
\]
This method visually and conceptually illustrates how addition works with positive and negative numbers. Well done!