question 18
1 pts
directions: convert the following weight as indicated. round weight to the nearest tenth.
8 lb, 12.2 oz = ____ kg

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Kilogram to Pound Conversion", "Decimal Rounding" ], "new_concepts": [ "Ounce to Pound Conversion" ], "current_concepts": [ "Kilogram to Pound Conversion", "Ounce to Pound Conversion", "Decimal Rounding" ] } ## Convert ounces to pounds $$ 12.2\text{ oz} = \frac{12.2}{16}\text{ lb} = 0.7625\text{ lb} $$ ## Calculate total weight in pounds $$ \text{Total lb} = 8\text{ lb} + 0.7625\text{ lb} = 8.7625\text{ lb} $$ ## Convert total pounds to kilograms and round $$ \begin{aligned} \text{Total kg} &= \frac{8.7625\text{ lb}}{2.2\text{ lb/kg}} \approx 3.98295\text{ kg} \ \text{Rounded kg} &\approx 4.0\text{ kg} \end{aligned} $$ Directions: Convert the following weight as indicated. Round weight to the nearest tenth. 8 lb, 12.2 oz = 4.0 kg { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Arithmetic", "Unit Conversions" ] }

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Question

Explanation:

Convert ounces to pounds

Calculate total weight in pounds

Convert total pounds to kilograms and round

Answer: