Absolutely, let's break down this mathematical expression step-by-step so that it is clear.
Given expression:
[tex]\[ (-6) \times 5 + (-27) \div (-3) - (-2) \times (-10) + (-1218) \times (-11) \][/tex]
### Step 1: Perform the multiplications and divisions first (following the order of operations)
1. Calculate [tex]\((-6) \times 5\)[/tex]:
[tex]\[ (-6) \times 5 = -30 \][/tex]
2. Calculate [tex]\((-27) \div (-3)\)[/tex]:
[tex]\[ (-27) \div (-3) = 9 \][/tex]
3. Calculate [tex]\((-2) \times (-10)\)[/tex]:
[tex]\[ (-2) \times (-10) = 20 \][/tex]
4. Calculate [tex]\((-1218) \times (-11)\)[/tex]:
[tex]\[ (-1218) \times (-11) = 13398 \][/tex]
### Step 2: Combine these intermediate results using addition and subtraction
1. Start with [tex]\(-30\)[/tex]:
[tex]\[ -30 \][/tex]
2. Add the result of [tex]\((-27) \div (-3)\)[/tex]:
[tex]\[ -30 + 9 = -21 \][/tex]
3. Subtract the result of [tex]\((-2) \times (-10)\)[/tex]:
[tex]\[ -21 - 20 = -41 \][/tex]
4. Finally, add the result of [tex]\((-1218) \times (-11)\)[/tex]:
[tex]\[ -41 + 13398 = 13357 \][/tex]
### Conclusion
After performing the calculations step-by-step, we get the final result:
[tex]\[ (-6) \times 5 + (-27) \div (-3) - (-2) \times (-10) + (-1218) \times (-11) = 13357 \][/tex]
So the final answer to the given expression is [tex]\(\boxed{13357}\)[/tex].
