Convert 4.083 x 10 to the 6th power kilometers to meters. Express the answer to the exact decimal place.

1 answer

To convert kilometers to meters, you need to know that 1 kilometer is equal to 1,000 meters. Thus, to convert \(4.083 \times 10^6\) kilometers to meters, you multiply by 1,000:

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

This can be calculated as follows:

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

Now, let's express this in decimal form. \(4.083 \times 10^9\) means moving the decimal point 9 places to the right:

\[ 4.083 \times 10^9 = 4,083,000,000 \]

Thus, the answer is:

\[ \boxed{4083000000} \]