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Let's break down the problem:

- The total amount of water currently used in the park is \( 4.6 \times 10^5 \) gallons.
- An additional ride will use \( 6.7 \times 10^4 \) gallons.
- You are asked to find the total amount of water used after the new ride is installed, expressed in scientific notation.

### Step 1: Add the numbers in scientific notation
The two values we are adding are:

\[
4.6 \times 10^5 \text{ gallons} + 6.7 \times 10^4 \text{ gallons}
\]

Since these exponents are not the same, we must convert the second number to match the exponent of the first one. To do that, rewrite \( 6.7 \times 10^4 \) as:

\[
6.7 \times 10^4 = 0.67 \times 10^5
\]

Now, you can add both values:

\[
(4.6 + 0.67) \times 10^5 = 5.27 \times 10^5
\]

### Final Answer:
\[
5.27 \times 10^5 \text{ gallons}
\]

Would you like further details on any step? Here are five related questions:

1. What are the rules for adding or subtracting numbers in scientific notation?
2. How do you convert between scientific notation and standard notation?
3. Why is it important to match the powers of 10 before adding or subtracting?
4. How would the problem change if the exponents differed by more than 1?
5. Can you explain how to multiply and divide numbers in scientific notation?

**Tip:** When adding or subtracting numbers in scientific notation, always ensure the exponents are the same before performing the arithmetic.

A water park has pools, slides, and rides that, in total, make use of 4.6 × 10^5 gallons of water. They plan to add a ride that would make use of an additional 6.7 × 10^4 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.

This problem focuses on adding numbers in scientific notation. A water park uses 4.6 × 10^5 gallons of water, and a new ride will use an additional 6.7 × 10^4 gallons. Learn how to add these values by converting the exponents and applying proper scientific notation rules.

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