convert 7132 to a numeral in base 9.

$7132 = 7704_9$

Question

convert 7132 to a numeral in base 9.

$7132 = 7704_9$

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": [ "Base Conversion" ], "new_concepts": [], "current_concepts": [ "Base Conversion" ] } ## Divide the base-10 number by 9 Using the *Base Conversion* knowledge point $$ \begin{aligned} 7132 \div 9 &= 792 \quad \text{remainder } 4 \end{aligned} $$ ## Divide the quotient by 9 Using the *Base Conversion* knowledge point $$ \begin{aligned} 792 \div 9 &= 88 \quad \text{remainder } 0 \end{aligned} $$ ## Divide the next quotient by 9 Using the *Base Conversion* knowledge point $$ \begin{aligned} 88 \div 9 &= 9 \quad \text{remainder } 7 \end{aligned} $$ ## Divide the next quotient by 9 Using the *Base Conversion* knowledge point $$ \begin{aligned} 9 \div 9 &= 1 \quad \text{remainder } 0 \end{aligned} $$ ## Divide the final quotient by 9 Using the *Base Conversion* knowledge point $$ \begin{aligned} 1 \div 9 &= 0 \quad \text{remainder } 1 \end{aligned} $$ The remainders read from bottom to top give the base-9 representation: $10704_9$. Convert 7132 to a numeral in base 9. $7132 =$ $10704$$_9$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Number Theory", "Base Conversion" ] }

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Question

Explanation:

Divide the base-10 number by 9

Divide the quotient by 9

Divide the next quotient by 9

Divide the next quotient by 9

Divide the final quotient by 9

Answer: