Question

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

Answer 1

4.3 liters is larger than 562 milliliters

`\begin{gathered} 4.3\text{ liters }>\text{ 0.562 liters} \\ 4.3\text{ liters }>\text{ 562 milliliters} \end{gathered}`

Step-by-step explanation:

Given the measures;

`\begin{gathered} 4.3\text{ liters} \\ \text{and} \\ 562\text{ milliliters} \end{gathered}`

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.

`\begin{gathered} 1\text{ liter = 1000 milliliters} \\ 1\text{ milliliter =}(1)/(1000)liter \end{gathered}`

Converting the milliliter to liters we have;

`\begin{gathered} 562\text{ milliliters = }(1)/(1000)*562\text{ Liter} \\ =(562)/(1000)\text{liter} \\ =0.562\text{ liter} \end{gathered}`

So, comparing;

`\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}`

Therefore, 4.3 liters is larger than 562 milliliters