the problem has been started for you.

what is the quotient?

89.
6 ) 538.00
-480
58
-54
40
-36
40
-36

* 89.5
* 89.6
* 89.6̅
* 89.7

Question

the problem has been started for you.

what is the quotient?

89.
6 ) 538.00
-480
58
-54
40
-36
40
-36

* 89.5
* 89.6
* 89.6̅
* 89.7

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": [ "Long Division Steps", "Decimal Division" ], "new_concepts": [ "Repeating Decimals" ], "current_concepts": [ "Long Division Steps", "Decimal Division", "Repeating Decimals" ] } ## Analyze the started division Using the *Long Division Steps* and *Decimal Division* knowledge points $$ \begin{aligned} &538.00 \div 6 \ &\text{First steps shown: } 6 \times 80 = 480 \ &538 - 480 = 58 \ &6 \times 9 = 54 \ &58 - 54 = 4 \ &\text{Bring down first 0: } 40 \ &6 \times 6 = 36 \ &40 - 36 = 4 \ &\text{Bring down second 0: } 40 \ &6 \times 6 = 36 \ &40 - 36 = 4 \end{aligned} $$ ## Identify the repeating pattern Using the *Decimal Division* knowledge point $$ \begin{aligned} &\text{The remainder is consistently } 4. \ &\text{The digit } 6 \text{ repeats infinitely in the tenths, hundredths, and subsequent places.} \ &\text{Quotient} = 89.666\dots = 89.\bar{6} \end{aligned} $$

(A) $89.\bar{5}$

(B) $89.6$

(C) $89.\bar{6}$

(D) $89.7$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Analyze the started division

Identify the repeating pattern

Answer: