Remember that the prefixes "c", "m" and "k" have corresponding values of powers of 10.
To be precise, here are the corresponding values:
[tex]\begin{gathered} c=10^{-2}=0.01 \\ m=10^{-3}=0.001 \\ k=10^3=1000 \end{gathered}[/tex]Where the letter c is for centi-, m is for mili-, and k is for kilo-.
Using this facts, rewrtite the quantity 11.34g:
Since 1cg = 0.01g, use the conversion factor of 1cg/0.01g:
[tex]11.34\text{ g }=11.34\text{ g}\cdot\frac{1cg}{0.01g}=\frac{11.34}{0.01}cg=1134\text{ cg}[/tex]Since 1mg=0.001 g, use the conversion factor of 1mg/0.001g:
[tex]11.34g=11.34g\cdot\frac{1mg}{0.001g}=\frac{11.34}{0.001}g=11340\text{ mg}[/tex]Since 1kg=1000g, use the conversion factor of 1kg/1000g:
[tex]11.34g=11.34g\cdot\frac{1\operatorname{kg}}{1000g}=\frac{11.34}{1000}kg=0.01134\operatorname{kg}[/tex]Therefore, 11.34 g is equal to 1134 cg, 11,340 mg and 0.01134 kg.
