A water park has pools, slides, and rides that, in total, make use of 4.6 ×10 to the power of 5 gallons of water. They plan to add a ride that would make use of an additional 6.7 ×10 to the power of 4 gallons of water. Use scientific notation to express the total gallons of water made use of in the park after the new ride is installed.
The total gallons of water after the new ride is installed can be calculated by adding the current gallons of water with the additional gallons of water:
4.6 × 10^5 gallons + 6.7 × 10^4 gallons
To add these numbers together, you need to align the exponents by converting one of the numbers so it has the same exponent as the other. Let's convert 6.7 × 10^4 gallons into scientific notation with an exponent of 5:
6.7 × 10^4 gallons = 0.67 × 10^5 gallons
Now we can add the two numbers:
4.6 × 10^5 gallons + 0.67 × 10^5 gallons = 5.27 × 10^5 gallons
Therefore, the total gallons of water used in the park after the new ride is installed will be 5.27 × 10^5 gallons.