Use Scientific Notation Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
Convert 3.875×109
meters to kilometers. Express the answer to the exact decimal place.

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

(1 point)

Answer 1

To convert \(3.875 \times 10^9\) meters to kilometers, we can use the conversion factor that \(1\) kilometer is equal to \(1,000\) meters.

To perform this conversion, we divide the number of meters by the number of meters per kilometer:

\[ \text{Kilometers} = \frac{3.875 \times 10^9 \text{ meters}}{1,000 \text{ meters/km}} \]

Now, we can simplify this:

\[ \text{Kilometers} = 3.875 \times 10^9 \div 10^3 \]

\[ = 3.875 \times 10^{9 - 3} \]

\[ = 3.875 \times 10^6 \text{ kilometers} \]

Therefore, \(3.875 \times 10^9\) meters is equal to \(3.875 \times 10^6\) kilometers.