Convert 4.083×106

kilometers to meters. Express the answer to the exact decimal place.

Note: 1 kilometer is equal to 1,000 meters.

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1 answer

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

Starting with the given distance:

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

Now, multiply by 1,000:

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

This can be expressed as:

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

Using the property of exponents \(a^m \times a^n = a^{m+n}\):

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

Thus, the converted distance is:

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