Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Examine the work shown. Explain the error and find the correct result.

[tex]\[
\begin{array}{l}
2(4-16)-(-30) \\
2(-12)-(-30) \\
24-(-30) \\
54
\end{array}
\][/tex]

Sagot :

GinnyAnswer
Sure, let's walk through the process step-by-step to identify the error and find the correct result.

### Original Problem:
[tex]\[ 2(4-16) - (-30) \][/tex]

### Step 1: Evaluate the expression inside the parentheses.
[tex]\[ 4 - 16 = -12 \][/tex]

So the expression now looks like:
[tex]\[ 2(-12) - (-30) \][/tex]

### Step 2: Multiply by 2.
[tex]\[ 2 \times (-12) = -24 \][/tex]

So now the expression is:
[tex]\[ -24 - (-30) \][/tex]

### Step 3: Subtract [tex]\(-30\)[/tex], which is equivalent to adding 30.
[tex]\[ -24 - (-30) = -24 + 30 \][/tex]

### Step 4: Perform the addition.
[tex]\[ -24 + 30 = 6 \][/tex]

### Conclusion:
The error in the provided work occurred in step three, where instead of subtracting [tex]\(-30\)[/tex], it was added as a positive 24. The correct result after fixing the calculations step-by-step is:
[tex]\[ 6 \][/tex]

So the correct result is [tex]\(6\)[/tex].
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.