Convert 4.083×10^6 kilometers to meters. Express the answer to the exact decimal place.

1 answer

To convert kilometers to meters, you multiply by 1,000 (since 1 kilometer is equal to 1,000 meters).

Starting with the value in kilometers:

\[ 4.083 \times 10^6 \text{ kilometers} \]

Now, we convert it to meters:

\[ 4.083 \times 10^6 \text{ kilometers} \times 1,000 \text{ meters/kilometer} = 4.083 \times 10^6 \times 10^3 \text{ meters} \]

Using the properties of exponents:

\[ 4.083 \times 10^{6 + 3} \text{ meters} = 4.083 \times 10^9 \text{ meters} \]

Thus, the result of converting \(4.083 \times 10^6\) kilometers to meters is:

\[ \boxed{4.083 \times 10^9 \text{ meters}} \]