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The problem is asking us to divide a field of 7.8 square miles by \(2.6 \times 10^3\) (2600) lots to find out how many square miles each lot will have, and we are asked to write the answer in scientific notation.

### Solution:

1. We have a total area of \( 7.8 \, \text{mi}^2 \).
2. The number of lots is \( 2.6 \times 10^3 \).

To find the area of each lot, we divide the total area by the number of lots:
\[
\frac{7.8}{2.6 \times 10^3}
\]

First, simplify the division:
\[
\frac{7.8}{2.6} = 3
\]

Now divide by \( 10^3 \):
\[
\frac{3}{10^3} = 3 \times 10^{-3} \, \text{mi}^2
\]

So, the area of each lot is:
\[
3 \times 10^{-3} \, \text{mi}^2
\]

### Final Answer:
Each lot will have an area of \( 3 \times 10^{-3} \) square miles.

Would you like more details or have any questions?

### Related questions:
1. What is scientific notation, and why is it useful?
2. How do you multiply or divide numbers in scientific notation?
3. How can we convert square miles into acres for this problem?
4. What are some practical examples of using scientific notation in real life?
5. How would the result change if there were 10 times more lots?

**Tip**: When working with scientific notation, always make sure to manage the powers of 10 separately from the base numbers to simplify the operations.

A field of 7.8 mi² is being subdivided into 2.6 × 10³ lots for houses to be built. How many square miles will there be in each lot? Write the answer in scientific notation.

Learn how to divide a field of 7.8 mi² into 2.6 × 10³ lots and find the area of each lot in square miles using scientific notation. This math problem explains division and the use of scientific notation, ideal for students in Grades 7-9.

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