객관식
How many kilograms are in 12,980 grams?
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1. Intro to General Chemistry
Conversion Factors
객관식
Which of the following is the correct conversion factor to convert kilograms (kg) to milligrams (mg)?
A
1 kg = 1,000 mg
B
1 kg = 1,000,000 mg
C
1 kg = 100,000 mg
D
1 kg = 10,000 mg
검증된 단계별 안내1
Recall the basic metric prefixes and their values relative to the base unit gram (g): kilo- (k) means 10^3 or 1,000 times the base unit, and milli- (m) means 10^-3 or one-thousandth of the base unit.
Understand that 1 kilogram (kg) is equal to 1,000 grams (g), because 'kilo' means 1,000 times the gram.
Recognize that 1 milligram (mg) is equal to 0.001 grams (g), since 'milli' means one-thousandth of a gram.
To convert kilograms to milligrams, first convert kilograms to grams, then convert grams to milligrams by multiplying by the appropriate factors: 1 kg = 1,000 g and 1 g = 1,000 mg.
Combine the two conversion steps into one conversion factor: multiply 1,000 (g/kg) by 1,000 (mg/g) to get 1,000,000 mg in 1 kg, so the correct conversion factor is \(1\ \text{kg} = 1,000,000\ \text{mg}\).
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