Use Scientific Notation Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items

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

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

(1 point)
meters
Remaining Attempts : 3
Skip to navigation

Answer 1

To convert kilometers to meters, you can multiply the number of kilometers by 1,000 (since there are 1,000 meters in a kilometer).

Given the number in scientific notation:

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

To convert to meters:

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

This can be simplified as:

\[ 4.083 \times 10^6 \times 10^3 \]

Remembering that when you multiply two exponents with the same base, you add the exponents:

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

So, the final answer is:

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

If you need it in decimal form, that's:

\[ 4,083,000,000 \text{ meters} \]

Either representation is acceptable, but typically scientific notation is preferred for very large numbers.