Which of the following measurements is larger: 4.3 liters or 562 milliliters? Show your work or explain your reasoning using complete sentences. WRITER I 13

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Answer:

4.3 liters is larger than 562 milliliters

[tex]\begin{gathered} 4.3\text{ liters }>\text{ 0.562 liters} \\ 4.3\text{ liters }>\text{ 562 milliliters} \end{gathered}[/tex]

Explanation:

Given the measures;

[tex]\begin{gathered} 4.3\text{ liters} \\ \text{and} \\ 562\text{ milliliters} \end{gathered}[/tex]

To compare them and see which one is larger we have to convert then both to the same unit.

Let us convert the two measures to Liters and compare.

[tex]\begin{gathered} 1\text{ liter = 1000 milliliters} \\ 1\text{ milliliter =}\frac{1}{1000}liter \end{gathered}[/tex]

Converting the milliliter to liters we have;

[tex]\begin{gathered} 562\text{ milliliters = }\frac{1}{1000}\times562\text{ Liter} \\ =\frac{562}{1000}\text{liter} \\ =0.562\text{ liter} \end{gathered}[/tex]

So, comparing;

[tex]\begin{gathered} 4.3\text{ liters} \\ \text{and} \\ 562\text{ milliliters}=0.562\text{ liters} \\ 4.3\text{ liters }>\text{ 0.562 liters} \end{gathered}[/tex]

Therefore, 4.3 liters is larger than 562 milliliters

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