Question

a) 1.34 x 10³ m = ______ mm
b) 2 kg/l = ______ g/ml
c) 9.3 x 10⁻⁵ g = ______ μg

Explanation:

Step1: Recall length - unit conversion

We know that $1\ m = 1000\ mm$. So for $1.34\times10^{3}\ m$, we multiply by 1000.
$1.34\times10^{3}\times10^{3}\ mm=1.34\times10^{6}\ mm$

Step2: Recall mass - volume unit conversion

We know that $1\ kg = 1000\ g$ and $1\ L=1000\ mL$. So for $2\ kg/L$, we convert as follows: $\frac{2\times1000\ g}{1000\ mL}=2\ g/mL$

Step3: Recall mass - unit conversion

We know that $1\ g = 10^{6}\ \mu g$. So for $9.3\times 10^{-5}\ g$, we multiply by $10^{6}$.
$9.3\times10^{-5}\times10^{6}\ \mu g = 93\ \mu g$

Answer:

a) $1.34\times10^{6}$
b) $2$
c) $93$