College

Perform each conversion from one metric unit of mass to another.

1. [tex]\( 35.9 \, \text{kg} = 35900000 \, \text{mg} \)[/tex]

2. [tex]\( 0.573 \, \mu g = \, \square \, \text{cg} \)[/tex]

Answer :

Sure, let's go through the detailed, step-by-step solution for converting [tex]\(0.573 \mu g\)[/tex] to centigrams (cg).

1. Understand the units:
- [tex]\(\mu g\)[/tex] stands for micrograms.
- cg stands for centigrams.

2. Conversion factors:
- [tex]\(1 \mu g\)[/tex] (microgram) is equal to [tex]\(10^{-6}\)[/tex] grams.
- [tex]\(1 g\)[/tex] (gram) is equal to [tex]\(100\)[/tex] centigrams (cg).

3. Convert micrograms to grams:
To convert micrograms to grams, use the conversion factor [tex]\(1 \mu g = 10^{-6}\)[/tex] grams.
[tex]\[
0.573 \mu g \times 10^{-6} = 0.573 \times 10^{-6} \text{ grams}
\][/tex]
Simplifying this:
[tex]\[
0.573 \times 10^{-6} \text{ grams} = 5.73 \times 10^{-7} \text{ grams}
\][/tex]

4. Convert grams to centigrams:
To convert grams to centigrams, use the conversion factor [tex]\(1 g = 100\)[/tex] centigrams.
[tex]\[
5.73 \times 10^{-7} \text{ grams} \times 100 = 5.73 \times 10^{-5} \text{ centigrams}
\][/tex]

So, [tex]\(0.573 \mu g\)[/tex] is equal to [tex]\(5.73 \times 10^{-5}\)[/tex] centigrams (cg).

[tex]\[
\boxed{5.73 \times 10^{-5}}
\][/tex]

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