The problem states that the distance from Earth to the Moon is approximately $382,500,000$ meters. We need to express this distance in scientific notation.

1. Problem Description

The problem states that the distance from Earth to the Moon is approximately $382,500,000$ meters. We need to express this distance in scientific notation.

2. Solution Steps

To write a number in scientific notation, we express it in the form $a \times 10^n$, where $1 \le a < 10$ and $n$ is an integer.

First, we write the given number: $382,500,000$.

Move the decimal point to the left until we have a number between 1 and

1

0. In this case, we move the decimal point 8 places to the left to get $3.825$.

Therefore, $a = 3.825$.

Since we moved the decimal point 8 places to the left, we multiply by $10^8$.

Thus, $382,500,000 = 3.825 \times 10^8$.

The problem asks for an approximate distance, so we can round 3.825 to

4. Therefore, the approximate distance in scientific notation is $4 \times 10^8$ meters.

3. Final Answer

$4 \times 10^8$ meters