Question
A water park has pools, slides, and rides that, in total, make use of 4, point, 1, times, 10, to the power 74.1×10
7
gallons of water. They plan to add a ride that would make use of an additional 2, point, 9, times, 10, cubed2.9×10
3
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.
7
gallons of water. They plan to add a ride that would make use of an additional 2, point, 9, times, 10, cubed2.9×10
3
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.
Answers
GPT-4o mini
To find the total gallons of water used in the park after adding the new ride, we need to add the two quantities given in scientific notation:
1. Current water usage: \( 4.1 \times 10^7 \) gallons
2. Additional water usage: \( 2.9 \times 10^3 \) gallons
Before adding them together directly, it's helpful to express both numbers in terms of the same power of ten. The larger exponent is \( 10^7 \), so we convert \( 2.9 \times 10^3 \) to a similar format:
\[
2.9 \times 10^3 = 0.0029 \times 10^7
\]
Now we add \( 0.0029 \times 10^7 \) to \( 4.1 \times 10^7 \):
\[
4.1 \times 10^7 + 0.0029 \times 10^7 = (4.1 + 0.0029) \times 10^7 = 4.1029 \times 10^7
\]
Now, since \( 4.1029 \) is already a number between 1 and 10, we can express the total gallons of water used in the park after the new ride is installed as:
\[
\boxed{4.1029 \times 10^7}
\]
1. Current water usage: \( 4.1 \times 10^7 \) gallons
2. Additional water usage: \( 2.9 \times 10^3 \) gallons
Before adding them together directly, it's helpful to express both numbers in terms of the same power of ten. The larger exponent is \( 10^7 \), so we convert \( 2.9 \times 10^3 \) to a similar format:
\[
2.9 \times 10^3 = 0.0029 \times 10^7
\]
Now we add \( 0.0029 \times 10^7 \) to \( 4.1 \times 10^7 \):
\[
4.1 \times 10^7 + 0.0029 \times 10^7 = (4.1 + 0.0029) \times 10^7 = 4.1029 \times 10^7
\]
Now, since \( 4.1029 \) is already a number between 1 and 10, we can express the total gallons of water used in the park after the new ride is installed as:
\[
\boxed{4.1029 \times 10^7}
\]