divide: $83.5 \div 6.25$

the first step in solving $83.5 \div 6.25$ is to multiply the divisor and dividend by dropdown.
the new division problem is dropdown.

Question

divide: $83.5 \div 6.25$

the first step in solving $83.5 \div 6.25$ is to multiply the divisor and dividend by dropdown.
the new division problem is dropdown.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Decimal Division" ], "new_concepts": [], "current_concepts": [ "Decimal Division", "Equivalent Expressions" ] } ## Identify the divisor and decimal places Using the *Decimal Division* knowledge point $$ \begin{aligned} &\text{Dividend} = 83.5\ &\text{Divisor} = 6.25\ &\text{Decimal places in divisor} = 2 \end{aligned} $$ ## Determine the multiplication factor Using the *Decimal Division* knowledge point $$ \begin{aligned} &\text{Factor} = 10^2 = 100 \end{aligned} $$ ## Calculate the new division expression Using the *Decimal Division* knowledge point $$ \begin{aligned} &\text{New Dividend} = 83.5 \times 100 = 8350\ &\text{New Divisor} = 6.25 \times 100 = 625\ &\text{New Expression} = 8350 \div 625 \end{aligned} $$ Divide: $83.5 \div 6.25$ The first step in solving $83.5 \div 6.25$ is to multiply the divisor and dividend by 100. The new division problem is $8350 \div 625$. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Arithmetic", "Decimal Division" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the divisor and decimal places

Determine the multiplication factor

Calculate the new division expression

Answer: