which of the expressions will have a product with three decimal places? check all that apply.

\begin{array}{r} 0.271 \\ \times \quad 5 \\ \hline \end{array}
\begin{array}{r} 4.2 \\ \times 0.08 \\ \hline \end{array}
\begin{array}{r} 1.975 \\ \times \quad 0.1 \\ \hline \end{array}
\begin{array}{r} 56.8 \\ \times 1.34 \\ \hline \end{array}

Question

which of the expressions will have a product with three decimal places? check all that apply.

\begin{array}{r} 0.271 \\ \times \quad 5 \\ \hline \end{array}
\begin{array}{r} 4.2 \\ \times 0.08 \\ \hline \end{array}
\begin{array}{r} 1.975 \\ \times \quad 0.1 \\ \hline \end{array}
\begin{array}{r} 56.8 \\ \times 1.34 \\ \hline \end{array}

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" ] } ## Analyze the first expression Using the *Decimal Multiplication* and *Decimal Places* knowledge points $$ \begin{aligned} &0.271 \times 5\ &\text{Decimal places in factors: } 3 + 0 = 3\ &271 \times 5 = 1355 \implies 1.355\ &\text{Decimal places in product: } 3 \end{aligned} $$ ## Analyze the second expression Using the *Decimal Multiplication* and *Decimal Places* knowledge points $$ \begin{aligned} &4.2 \times 0.08\ &\text{Decimal places in factors: } 1 + 2 = 3\ &42 \times 8 = 336 \implies 0.336\ &\text{Decimal places in product: } 3 \end{aligned} $$ ## Analyze the third expression Using the *Decimal Multiplication* and *Decimal Places* knowledge points $$ \begin{aligned} &1.975 \times 0.1\ &\text{Decimal places in factors: } 3 + 1 = 4\ &1975 \times 1 = 1975 \implies 0.1975\ &\text{Decimal places in product: } 4 \end{aligned} $$ ## Analyze the fourth expression Using the *Decimal Multiplication* and *Decimal Places* knowledge points $$ \begin{aligned} &56.8 \times 1.34\ &\text{Decimal places in factors: } 1 + 2 = 3\ &568 \times 134 = 76112 \implies 76.112\ &\text{Decimal places in product: } 3 \end{aligned} $$

(A) $0.271 \times 5$

(B) $4.2 \times 0.08$

(C) $1.975 \times 0.1$

(D) $56.8 \times 1.34$

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

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Question

Explanation:

Analyze the first expression

Analyze the second expression

Analyze the third expression

Analyze the fourth expression

Answer: