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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]



Answer :

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].

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