A water park has pools, slides, and rides that, in total, make use of 7, point, 2, times, 10, to the power 67.2×10

Question

6
gallons of water. They plan to add a ride that would make use of an additional 1, comma, 9001,900 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.
Answer
Attempt 1 out of 2

Answer:
times, 10×10
gallons

Answer 1

To calculate the total gallons of water after adding the new ride, we first need to express both quantities in scientific notation.

1. The original amount of water used is \( 7.2 \times 10^{6} \) gallons.
2. The additional water used by the new ride is \( 1,900 \) gallons.

First, we need to express \( 1,900 \) in scientific notation: \[ 1,900 = 1.9 \times 10^{3} \]

Next, we need to make sure that we add these amounts correctly by aligning the powers of ten. The original amount is \( 7.2 \times 10^{6} \), which has a power of \( 6 \). We'll convert \( 1.9 \times 10^{3} \) to the same power of ten:

\[ 1.9 \times 10^{3} = 0.0019 \times 10^{6} \]

Now, adding the two values together: \[ 7.2 \times 10^{6} + 0.0019 \times 10^{6} = (7.2 + 0.0019) \times 10^{6} = 7.2019 \times 10^{6} \]

Thus, the total amount of water made use of in the park after the new ride is installed is: \[ \boxed{7.2019 \times 10^{6}} \text{ gallons} \]