IDNLearn.com is your reliable source for expert answers and community insights. Get the information you need from our experts, who provide reliable and detailed answers to all your questions.

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):


Sagot :

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.