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To convert from kilograms to milligrams, first multiply by what to convert to grams, and then multiply by what to convert to milligrams.
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Let’s just take a moment to think about these words, kilogram, gram, and milligram.
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They’ve all got the word gram in common.
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Now a gram is a units of weight in the metric system, and kilo and milli are prefixes that mean different things.
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Kilo means a thousand.
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So a kilogram is a thousand grams.
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And milli means a thousandth.
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So a fraction of a thousandth of a gram is a milligram.
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So if you think about it, there are a thousand grams in a kilogram.
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Then there must be a thousand milligrams in a gram.
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So is a gram a “millikilogram”, a thousandth of a thousand grams?
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Well the word “millikilogram” doesn’t actually exist.
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But if it did, yes that’s what it would be.
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Okay.
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Let’s think about one particular example then.
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As we’ve said, one kilogram is a thousand grams.
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So to get from the number of kilograms to the number of grams, we had to multiply that number by a thousand.
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And since a milligram is a thousandth of a gram, every gram has a thousand milligrams in it.
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So each one of these thousand grams has another thousand milligrams in it.
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So we’re gonna need to multiply that number by a thousand in order to convert it into milligrams.
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So a kilogram is a thousand grams, which is a million milligrams.
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So going back to our question then, we can fill in the gaps.
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To convert from kilograms to milligrams, first multiply by a thousand to convert to grams, and then multiply that answer by a thousand again to convert to milligrams.