A water park has pulled slides and rides that in total make a use of 4.1 * 10 ^ 7 gallons of water. They plan to add a ride that would make use of an additional 2.9 * 10 ^ 3 gallons of water. Use scientific notation to express the total gallons of water that may use of in the park after the new ride is installed

To find the total gallons of water that the park will use after the new ride is installed, you need to add the current water usage and the additional amount from the new ride. Here's how you can do this using scientific notation:

The current water usage is \( 4.1 \times 10^7 \) gallons, and the new ride will add \( 2.9 \times 10^3 \) gallons.

### Step 1: Write both numbers in scientific notation
- \( 4.1 \times 10^7 \) (current usage)
- \( 2.9 \times 10^3 \) (new ride's usage)

### Step 2: Convert both numbers to the same power of 10
To add these numbers, we need them to have the same exponent. Let's rewrite \( 2.9 \times 10^3 \) so it has the same exponent as \( 4.1 \times 10^7 \). We can express \( 2.9 \times 10^3 \) as:

\[
2.9 \times 10^3 = 0.00029 \times 10^7
\]

Now we can add the two numbers:

### Step 3: Add the coefficients
\[
4.1 \times 10^7 + 0.00029 \times 10^7 = (4.1 + 0.00029) \times 10^7 = 4.10029 \times 10^7
\]

### Step 4: Express the result
So, the total water usage after adding the new ride will be approximately:

\[
4.10029 \times 10^7 \text{ gallons}
\]

Would you like more details or have any questions?

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Here are some related questions for further practice:
1. How do you subtract two values in scientific notation with different powers of 10?
2. What is the result of \( 3.6 \times 10^4 + 4.2 \times 10^5 \) in scientific notation?
3. How do you multiply two numbers in scientific notation?
4. How would you express \( 5.6 \times 10^2 + 7.3 \times 10^1 \) in scientific notation?
5. What are the steps to convert a large number like 35,000,000 into scientific notation?

**Tip**: When adding or subtracting numbers in scientific notation, make sure to express them with the same exponent for easy calculation.

A water park has pulled slides and rides that in total make a use of 4.1 * 10 ^ 7 gallons of water. They plan to add a ride that would make use of an additional 2.9 * 10 ^ 3 gallons of water. Use scientific notation to express the total gallons of water that may be used in the park after the new ride is installed.

Discover how to calculate the total water usage at a water park by adding values in scientific notation. The park currently uses 4.1 * 10^7 gallons, and a new ride will add 2.9 * 10^3 gallons. This step-by-step guide covers key concepts of scientific notation addition. Suitable for Grades 7-9 students.

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