The combined volume of all the tanks at an aquarium is 2.25 × 104

Question

gallons. The aquarium plans to install a new dolphin tank with a volume of 350,000
gallons. What will be the total volume of all of the tanks at the aquarium after the new dolphin tank is installed?

Show your work.

(1 point)
Responses

5.75 × 104
5.75 × 104

3.725 × 104
3.725 × 104

3.725 × 105
3.725 × 105

5.75 × 105

Answer 1

To calculate the total volume of all the tanks at the aquarium after the new dolphin tank is installed, we need to add the current combined volume of the tanks to the volume of the new dolphin tank.

1. Current combined volume of all tanks:
   \( 2.25 \times 10^4 \) gallons

2. Volume of the new dolphin tank:
   \( 350,000 \) gallons

Next, we convert \( 350,000 \) gallons into scientific notation.

• \( 350,000 = 3.5 \times 10^5 \) gallons.

Now, we will add the two volumes together:

\[ 2.25 \times 10^4 + 3.5 \times 10^5 \]

To add these two numbers, we need to express them with the same exponent. We can convert \( 2.25 \times 10^4 \) to the same exponent as \( 3.5 \times 10^5 \):

\[ 2.25 \times 10^4 = 0.225 \times 10^5 \]

Now, we can add them together:

\[ 0.225 \times 10^5 + 3.5 \times 10^5 = (0.225 + 3.5) \times 10^5 = 3.725 \times 10^5 \]

Thus, the total volume of all tanks at the aquarium after the new dolphin tank is installed is:

\[ \boxed{3.725 \times 10^5} \]