How many quarts is [tex]$2.5 \times 10^4$ \, mL[/tex]? Round your answer to 1 decimal place.

[tex]\square[/tex] quarts

[tex]\[
\begin{array}{l}
1 \, \text{L} = 1{,}000 \, \text{mL} \\
1 \, \text{L} = 1.06 \, \text{quarts}
\end{array}
\][/tex]

Show your work below (no work/incorrect work = 1/2 credit):



Answer :

To determine how many quarts [tex]\( 2.5 \times 10^4 \)[/tex] milliliters ([tex]\(mL\)[/tex]) is, follow these step-by-step conversions:

### Step 1: Convert milliliters ([tex]\(mL\)[/tex]) to liters ([tex]\(L\)[/tex])

We know that:
[tex]\[ 1 \text{ liter (L)} = 1,000 \text{ milliliters (mL)} \][/tex]

Given:
[tex]\[ 2.5 \times 10^4 \text{ mL} \][/tex]

To convert [tex]\( 2.5 \times 10^4 \)[/tex] mL to liters, divide by 1,000:
[tex]\[ L = \frac{2.5 \times 10^4 \text{ mL}}{1000} \][/tex]

Simplifying:
[tex]\[ L = \frac{25000 \text{ mL}}{1000} \][/tex]
[tex]\[ L = 25.0 \text{ L} \][/tex]

### Step 2: Convert liters ([tex]\(L\)[/tex]) to quarts

We know:
[tex]\[ 1 \text{ L} = 1.06 \text{ quarts} \][/tex]

Given:
[tex]\[ 25.0 \text{ L} \][/tex]

To convert 25.0 liters to quarts, multiply by 1.06:
[tex]\[ \text{quarts} = 25.0 \text{ L} \times 1.06 \text{ quarts/L} \][/tex]

Simplifying:
[tex]\[ \text{quarts} = 26.5 \text{ quarts} \][/tex]

### Step 3: Round the answer to 1 decimal place

The value of quarts already calculated is:
[tex]\[ 26.5 \text{ quarts} \][/tex]

There is no further rounding needed as it is already at 1 decimal place.

### Conclusion

Therefore, [tex]\( 2.5 \times 10^4 \)[/tex] milliliters is:
[tex]\[ 26.5 \text{ quarts} \][/tex] when rounded to 1 decimal place.