How many grams are in 74.0 mg?

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How many grams are in 74.0 mg?

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Answer 1 · 2016-08-28T22:19:28

$mg$ $"mg"$ stands for milligram.

$m$ $"m"$ is the prefix "milli", which means $10^{- 3}$ $10^(-3)$ , a number less than $1$ $1$ .
$1 mg$ $"1 mg"$ is therefore literally smaller than $1 g$ $"1 g"$ .

So, there are $10^{- 3}$ $10^(-3)$ $g$ $"g"$ in $1 mg$ $"1 mg"$ , or $10^{3}$ $10^3$ $mg$ $"mg"$ in $1 g$ $"1 g"$ . This makes sense because you need more of something small to equal something larger.

Due to the equivalences given above, we can use one of them as a conversion factor.

$74.0 cancel("mg") xx "1 g"/(10^3 cancel("mg"))$

$= 74.0 cancel("mg") xx (10^(-3) "g")/(1 cancel("mg"))$

$=$ $color(blue)("0.074 g")$

You don't have to do it both ways, but both are provided so you can choose.

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How many grams are in 74.0 mg?

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