To solve the expression \(1 \, xx \, 2 \, + \, 6 \, - \, 2 \, div \, 7\) using the given operator meanings, we will first replace each operator with its corresponding value based on the definitions provided:
1. **Operators Definitions**:
- \(+\) means \( \times \) (multiply)
- \(div\) means \(-\) (subtract)
- \(-\) means \(+\) (add)
- \(xx\) means \(div\) (subtract)
2. **Substituting the Operators**:
We will replace each operator in the expression \(1 \, xx \, 2 \, + \, 6 \, - \, 2 \, div \, 7\) with its corresponding value:
- \(1 \, xx \, 2\) becomes \(1 \, div \, 2\) (which means \(1 - 2\))
- \(+ 6\) becomes \(\times 6\) (which means \(1 - 2 \times 6\))
- \(- 2\) becomes \(+ 2\) (which means \(1 - 2 \times 6 + 2\))
- \(div \, 7\) becomes \(- 7\) (which means \(1 - 2 \times 6 + 2 - 7\))
3. **Rewriting the Expression**:
Now, we can rewrite the entire expression with the new operators:
\[
1 \, div \, 2 \, \times \, 6 \, + \, 2 \, - \, 7
\]
becomes:
\[
1 - 2 \times 6 + 2 - 7
\]
4. **Calculating Step-by-Step**:
- First, calculate \(1 - 2\):
\[
1 - 2 = -1
\]
- Next, multiply by \(6\):
\[
-1 \times 6 = -6
\]
- Then, add \(2\):
\[
-6 + 2 = -4
\]
- Finally, subtract \(7\):
\[
-4 - 7 = -11
\]
5. **Final Result**:
The final value of the expression \(1 \, xx \, 2 \, + \, 6 \, - \, 2 \, div \, 7\) is \(-11\).
However, it seems there was a miscalculation in the video transcript. Let's go through the correct calculation again based on the operator definitions.
### Correct Calculation:
1. Rewrite the expression:
\[
1 \, div \, 2 \, \times \, 6 \, + \, 2 \, - \, 7
\]
becomes:
\[
1 - 2 \times 6 + 2 - 7
\]
2. Calculate step-by-step:
- \(1 - 2 = -1\)
- \(-1 \times 6 = -6\)
- \(-6 + 2 = -4\)
- \(-4 - 7 = -11\)
### Conclusion:
The final answer is not among the options provided. Please check the question or options again.
