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Question

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Explanation:

Analyze Step 1

Using the Associative Property knowledge point

$$ 8 \times 2 \times 5 = 8 \times (2 \times 5) $$

Analyze Step 2

Using the Basic Multiplication knowledge point

$$ LATEXBLOCK0 $$

Identify the mistake

The error occurs in Step 2 because \(8\) was incorrectly multiplied by \(2\) to get \(16\), while also keeping the grouped \((2 \times 5)\) as \(10\). This double-counts the factor of \(2\).

Answer:

  • Erin made a mistake in Step 2. She multiplied 8 by 2 instead of keeping 8 as a factor outside the parentheses. (Correct answer)