Question

2.40 complete each of the following metric relationships:
a. 1 mg = ______ g
b. 1 ml = ______ μl
c. 1 g = ______ kg
d. 1 g = ______ mg

Explanation:

Step1: Recall metric - prefix conversion

The prefix "M" (mega) means \(10^{6}\). So, \(1\ Mg = 1\times10^{6}\ g\).

Step2: Recall metric - prefix conversion for volume

The prefix "m" (milli) means \(10^{- 3}\) and the prefix "\(\mu\)" (micro) means \(10^{-6}\). Since \(1\ mL=10^{-3}\ L\) and \(1\ \mu L = 10^{-6}\ L\), then \(1\ mL=\frac{10^{-3}}{10^{-6}}\ \mu L = 10^{3}\ \mu L\).

Step3: Recall metric - prefix conversion for mass

The prefix "k" (kilo) means \(10^{3}\). So, \(1\ g=\frac{1}{10^{3}}\ kg=10^{-3}\ kg\).

Step4: Recall metric - prefix conversion for mass

The prefix "m" (milli) means \(10^{-3}\). So, \(1\ g = 1\times10^{3}\ mg\).

Answer:

a. \(1\times10^{6}\)
b. \(10^{3}\)
c. \(10^{-3}\)
d. \(10^{3}\)