which is the decimal expansion of $\frac{7}{22}$?

$\bigcirc$ $\overline{0.318}$
$\bigcirc$ $0.3\overline{18}$
$\bigcirc$ $0.\overline{318}$
$\bigcirc$ $0.31\overline{8}$

Question

which is the decimal expansion of $\frac{7}{22}$?

$\bigcirc$ $\overline{0.318}$
$\bigcirc$ $0.3\overline{18}$
$\bigcirc$ $0.\overline{318}$
$\bigcirc$ $0.31\overline{8}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Decimal Expansion", "Repeating Decimals" ], "current_concepts": [ "Decimal Expansion", "Repeating Decimals" ] } ## Perform long division of 7 by 22 $$ \begin{aligned} 7 \div 22 &= 0.3181818\dots \end{aligned} $$ ## Identify the repeating pattern $$ \begin{aligned} 7 \div 22 &= 0.3\overline{18} \end{aligned} $$

$\overline{0.318}$

$0.3\overline{18}$

$0.\overline{318}$

$0.31\overline{8}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Number Theory", "Repeating Decimals" ] }

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QUESTION IMAGE

Question

Explanation:

Perform long division of 7 by 22

Identify the repeating pattern

Answer: