Question

Convert 4.083×106
kilometers to meters. Express the answer to the exact decimal place.

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

(1 point) (blank) (not 4.038) x 10^9 not 4.038not 4.038not 4.038not 4.038not 4.038not 4.038not 4.038not 4.038

Answer 1

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:

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