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Convert. $\newline$ $510$ $\text{ milligrams}$ =_____ $\text{ centigrams}$

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Convert rates and measurements: metric units

Full solution

Q. Convert.

\newline

510

\text{ milligrams}

=_____

\text{ centigrams}

Identify conversion factor: Identify the conversion factor for converting milligrams to centigrams. The conversion factor is that $1$ centigram (cg) is equal to $10$ milligrams (mg).
Set up conversion: Set up the conversion. $\newline$ Given: $510\,\text{mg}$ $\newline$ We want to convert milligrams to centigrams, so we use the conversion factor from Step $1$ . $\newline$ $510\,\text{mg} \times \left(\frac{1\,\text{cg}}{10\,\text{mg}}\right)$
Perform conversion: Perform the conversion. $\newline$ Now, we multiply $510$ by the conversion factor. $\newline$ $510 \, \text{mg} \times (1 \, \text{cg} / 10 \, \text{mg}) = \frac{510}{10} \, \text{cg}$ $\newline$ $= 51 \, \text{cg}$

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