To determine how many milliliters ([tex]\(mL\)[/tex]) a tanker car holds when it has a capacity of 34,500 gallons, follow these steps:
### Step 1: Convert Gallons to Liters
We are given that:
[tex]\[ 1 \text{ gallon} = 3.79 \text{ liters} \][/tex]
To find the total volume in liters for 34,500 gallons:
[tex]\[ \text{Total liters } = \text{gallons} \times \text{liters per gallon} \][/tex]
[tex]\[ \text{Total liters } = 34,500 \text{ gallons} \times 3.79 \text{ liters/gallon} \][/tex]
[tex]\[ \text{Total liters } = 130,755 \text{ liters} \][/tex]
### Step 2: Convert Liters to Milliliters
We know that:
[tex]\[ 1 \text{ liter} = 1,000 \text{ milliliters (mL)} \][/tex]
To convert the total volume from liters to milliliters:
[tex]\[ \text{Total milliliters} = \text{total liters} \times \text{milliliters per liter} \][/tex]
[tex]\[ \text{Total milliliters} = 130,755 \text{ liters} \times 1,000 \text{ mL/liter} \][/tex]
[tex]\[ \text{Total milliliters} = 130,755,000 \text{ mL} \][/tex]
### Step 3: Express the Answer in Scientific Notation
To express 130,755,000 mL in scientific notation:
- Move the decimal point 7 places to the left (because the number is very large).
- The coefficient will be a number between 1 and 10.
[tex]\[ 130,755,000 \text{ mL } = 1.30755 \times 10^{8} \text{ mL} \][/tex]
However, to obtain a coefficient for the question:
[tex]\[ 130,755,000 \text{ mL } = 13.0755 \times 10^{7} \text{ mL} \][/tex]
### Final Answer
- The coefficient (green) is [tex]\( 13.0755 \)[/tex].
- The exponent (yellow) is [tex]\( 7 \)[/tex].
So, in scientific notation:
[tex]\[ 34,500 \text{ gallons} = 13.0755 \times 10^{7} \text{ mL} \][/tex]
