The problem states that the diameter of Earth is approximately $8 \times 10^3$ miles, and the diameter of the moon is approximately $2 \times 10^3$ miles. We need to find how many times larger Earth's diameter is compared to the moon's diameter and write the answer in standard form without using exponents.

1. Problem Description

The problem states that the diameter of Earth is approximately $8 \times 10^3$ miles, and the diameter of the moon is approximately $2 \times 10^3$ miles. We need to find how many times larger Earth's diameter is compared to the moon's diameter and write the answer in standard form without using exponents.

2. Solution Steps

To find how many times larger Earth's diameter is compared to the moon's diameter, we need to divide Earth's diameter by the moon's diameter.

$$\frac{8 \times 10^3}{2 \times 10^3}$$

We can rewrite the expression as:

$$\frac{8}{2} \times \frac{10^3}{10^3}$$

Now we simplify:

$$\frac{8}{2} = 4$$

$$\frac{10^3}{10^3} = 1$$

So the expression becomes:

$$4 \times 1 = 4$$

Therefore, Earth's diameter is 4 times the moon's diameter.

3. Final Answer

4