A water park has pools, slides, and rides that, in total, make use of 9, point, 1, times, 10, to the power 79.1×10
7
gallons of water. They plan to add a ride that would make use of an additional 280, comma, 000280,000 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.
To express the total gallons of water used in the park after the new ride is installed in scientific notation, we add the additional 280,000 gallons to the existing amount of 9.1 × 10^79 gallons:
Total gallons = 9.1 × 10^79 + 2.8 × 10^5
= (9.1 + 2.8) × 10^79
= 11.9 × 10^79
So the total gallons of water used in the park after the new ride is installed is 11.9 × 10^79 gallons.
To express the total gallons of water used in the park after the new ride is installed, we need to add the additional 280,000 gallons of water to the existing amount.
The existing amount of water used in scientific notation is 9.1 x 10^79.1 x 10^7 gallons.
To add the additional 280,000 gallons of water, we can write it as 2.8 x 10^5 gallons in scientific notation.
Now, we can add the two amounts together to get the total amount of water used in scientific notation:
(9.1 x 10^79.1 x 10^7) + (2.8 x 10^5) = ((9.1 x 10^79.1) x 10^7) + (2.8 x 10^5) gallons
Simplifying the calculations within the parentheses:
9.1 x 10^79.1 x 10^7 = 9.1 x 10^(79.1 + 7) = 9.1 x 10^86.1 gallons
Now we can express the total amount in scientific notation:
9.1 x 10^86.1 + (2.8 x 10^5) = 9.1 x 10^86.1 + 2.8 x 10^5 gallons
Therefore, the total gallons of water used in the park after the new ride is installed is approximately 9.1 x 10^86.1 + 2.8 x 10^5 gallons.
To express the total gallons of water used in the park after the new ride is installed using scientific notation, we need to add the amount of water used by the new ride to the existing amount of water used.
Given that the total amount of water used by the pools, slides, and existing rides is 9.1 × 10^79.1 × 10^7 gallons of water, and the new ride uses an additional 280,000 gallons of water, we can calculate the total amount of water used using scientific notation as follows:
9.1 × 10^79.1 × 10^7 + 280,000
To add these numbers together, we need to convert the second term (280,000) into scientific notation. Since it has three significant figures, we can write it as:
2.8 × 10^5
Now, let's add the revised values together:
9.1 × 10^79.1 × 10^7 + 2.8 × 10^5
To add numbers in scientific notation, we need to make sure the exponents are the same. In this case, both terms have an exponent of 7, so we can simply add the coefficients:
9.1 × 10^79.1 × 10^7 + 2.8 × 10^5 = 9.1 × 10^79.1 × 10^7 + 2.8 × 10^7 × 10^-7
Now, we can add the coefficients:
9.1 × 10^79.1 × 10^7 + 2.8 × 10^-7
To simplify this expression further, we can combine the exponents:
9.1 × 10^86.1 + 2.8 × 10^-7
Finally, we can convert the result back into scientific notation:
9.1 × 10^86.1 + 2.8 × 10^-7 = 9.1 × 10^86.1
Therefore, the total gallons of water used in the water park after the new ride is installed is approximately 9.1 × 10^86.1 gallons.