Answer :
Final answer:
The correct set-up for the problem is option d: 67 kg = [1g/10³ kg]x[10⁻³ g/1 mg]. By using dimensional analysis and converting the units using the appropriate conversion factors, we can find that there are 67,000 milligrams in 67 kilograms.
Explanation:
The correct set-up for the problem "How many milligrams are there in 67 kilograms?" can be represented by option d: 67 kg = [1g/10³ kg]x[10⁻³ g/1 mg].
Dimensional analysis is a mathematical technique used to convert units from one system to another by using conversion factors. In this problem, we have to convert kilograms to milligrams. Since 1 kilogram is equal to 10³ grams and 1 gram is equal to 10⁻³ milligrams, we can set up the equation using these conversion factors.
By multiplying the conversion factors in the correct order, we can cancel out the units and calculate the final answer: 67 kg * (1 g / 10³ kg) * (10⁻³ mg / 1 g) = 67 * 10³ * 10⁻³ mg = 67,000 mg.
Learn more about Dimensional Analysis here:
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