which shows the correct placement of the decimal point in the product?

$\begin{array}{r} 52.1 \\ \times \quad 3.4 \\ \hline \end{array}$

$\bigcirc$ 1771.4
$\bigcirc$ 177.14
$\bigcirc$ 17.714
$\bigcirc$ 1.7714

Question

which shows the correct placement of the decimal point in the product?

$\begin{array}{r} 52.1 \\ \times \quad 3.4 \\ \hline \end{array}$

$\bigcirc$ 1771.4
$\bigcirc$ 177.14
$\bigcirc$ 17.714
$\bigcirc$ 1.7714

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Decimal Multiplication", "Decimal Places" ], "new_concepts": [], "current_concepts": [ "Decimal Multiplication", "Decimal Places" ] } ## Count decimal places in factors Using the *Decimal Places* knowledge point $$ \begin{aligned} &52.1 \implies 1 \text{ decimal place}\ &3.4 \implies 1 \text{ decimal place}\ &\text{Total} = 1 + 1 = 2 \text{ decimal places} \end{aligned} $$ ## Place decimal point in product Using the *Decimal Multiplication* knowledge point $$ \begin{aligned} &521 \times 34 = 17714\ &\text{Move decimal point } 2 \text{ places left} \implies 177.14 \end{aligned} $$

(A) 1771.4

(B) 177.14

(C) 17.714

(D) 1.7714

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Arithmetic", "Decimal Multiplication" ] }

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QUESTION IMAGE

Question

Explanation:

Count decimal places in factors

Place decimal point in product

Answer: