how many decimal places are in the product of the expression below?

$25.8$
$\times 14.2$

$\bigcirc$ one
$\bigcirc$ two
$\bigcirc$ three
$\bigcirc$ four

Question

how many decimal places are in the product of the expression below?

$25.8$
$\times 14.2$

$\bigcirc$ one
$\bigcirc$ two
$\bigcirc$ three
$\bigcirc$ four

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" ] } ## Identify the decimal places in each factor Using the *Decimal Places* knowledge point $$ \begin{aligned} &\text{First factor: } 75.8 \implies 1 \text{ decimal place}\ &\text{Second factor: } 14.2 \implies 1 \text{ decimal place} \end{aligned} $$ ## Calculate the total decimal places in the product Using the *Decimal Multiplication* knowledge point $$ \text{Total decimal places} = 1 + 1 = 2 $$ ## Verify the final digit of the product Using the *Decimal Multiplication* knowledge point $$ \begin{aligned} &8 \times 2 = 16\ &\text{The last digit is } 6 \text{ (non-zero), so no trailing zeros are simplified.} \end{aligned} $$

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

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QUESTION IMAGE

Question

Explanation:

Identify the decimal places in each factor

Calculate the total decimal places in the product

Verify the final digit of the product

Answer: