Use Scientific Notation Practice

Question

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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.

Answer 1

To convert kilometers to meters, you multiply by 1,000 (or \(10^3\)).

Starting with the given value:

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

Now, we convert it to meters:

\[ 4.083 \times 10^6 \text{ kilometers} \times 1000 \text{ meters/kilometer} \]

This can also be expressed as:

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

Adding the exponents (since they have the same base):

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

Thus, the final answer in scientific notation is:

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