Question

complete each metric conversion...
.083 g= ______ μg
295,000 l= ______ ml
.00044 cm= ______ nm

Explanation:

Step1: Recall metric - prefix conversion factors

1 g = 1000000 μg (since 1 μg=$10^{- 6}$g), 1 L = 0.001 ML (since 1 ML = 1000000 L), 1 cm=10000000 nm (since 1 nm = $10^{-9}$m and 1 cm = $10^{-2}$m).

Step2: Convert 0.083 g to μg

We know that to convert grams to micrograms, we multiply by $10^{6}$. So, $0.083\ g\times10^{6}\ \frac{\mu g}{g}=83000\ \mu g$.

Step3: Convert 295000 L to ML

To convert liters to megaliters, we divide by $10^{6}$. So, $295000\ L\div10^{6}\ \frac{L}{ML}=0.295\ ML$.

Step4: Convert 0.00044 cm to nm

First, convert cm to m: $0.00044\ cm = 0.00044\times10^{-2}\ m=4.4\times10^{-6}\ m$. Then convert m to nm. Since 1 nm = $10^{-9}$m, we multiply by $10^{9}$. So, $4.4\times10^{-6}\ m\times10^{9}\ \frac{nm}{m}=4400\ nm$.

Answer:

0.083 g = 83000 μg
295000 L = 0.295 ML
0.00044 cm = 4400 nm