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Complete each metric conversion.

[tex]\[
\begin{array}{|c|c|}
\hline
0428 \, \text{mm} & \text{um} \\
\hline
00050 \, \text{Mg} & \underline{g} \\
\hline
25,400 \, \mu L & \text{mL} \\
\hline
5,200 \, \text{m} & \text{km} \\
\hline
0.0736 \, \text{kL} & \text{L} \\
\hline
\end{array}
\][/tex]


Sagot :

Sure, let's go through each of the conversions one-by-one:

1. Conversion of 428 mm to µm:
- We know that 1 millimeter (mm) is equal to 1000 micrometers (µm).
- Therefore, to convert 428 mm to µm, we multiply 428 by 1000.
- [tex]\(428 \, \text{mm} = 428 \times 1000 = 428000 \, \text{µm}\)[/tex].

2. Conversion of 50 Megagrams (Mg) to grams (g):
- We understand that 1 Megagram (Mg) is equal to 1,000,000 grams (g).
- Hence, to convert 50 Mg to g, we multiply 50 by 1,000,000.
- [tex]\(50 \, \text{Mg} = 50 \times 1,000,000 = 50,000,000 \, \text{g}\)[/tex].

3. Conversion of 25,400 microliters (µL) to liters (L):
- We know that 1 µL is equal to [tex]\(1 \times 10^{-6}\)[/tex] liters.
- So, to convert 25,400 µL to L, we multiply 25,400 by [tex]\(1 \times 10^{-6}\)[/tex].
- [tex]\(25,400 \, \text{µL} = 25,400 \times 10^{-6} = 0.0254 \, \text{L}\)[/tex].

4. Conversion of 5,200 meters (m) to kilometers (km):
- It's known that 1 meter is equal to 0.001 kilometers.
- Therefore, to convert 5,200 m to km, we multiply 5,200 by 0.001.
- [tex]\(5,200 \, \text{m} = 5,200 \times 0.001 = 5.2 \, \text{km}\)[/tex].

5. Conversion of 0.0736 kiloliters (kL) to liters (L):
- It's given that 1 kiloliter (kL) is equivalent to 1000 liters.
- Hence, to convert 0.0736 kL to L, we multiply 0.0736 by 1000.
- [tex]\(0.0736 \, \text{kL} = 0.0736 \times 1000 = 73.6 \, \text{L}\)[/tex].

So, summarizing all the values we get:
[tex]\[ \begin{aligned} 0428 \, \text{mm} & = 428000 \, \text{µm}, \\ 00050 \, \text{Mg} & = 50000000 \, \text{g}, \\ 25,400 \, \text{µL} & = 0.0254 \, \text{L}, \\ 5,200 \, \text{m} & = 5.2 \, \text{km}, \\ 0.0736 \, \text{kL} & = 73.6 \, \text{L}. \end{aligned} \][/tex]
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