Answer:
There are [tex]6\times 10^{12}[/tex] miles of ions in a cubic kilometer of near-Earth space.
Explanation:
In this context, we must be clear on stating that words miles is a synonym for thousands. In other words, the question may be rewritten to this form: How many thousand of ions are in a cubic kilometer of near-Earth space? In engineering notation, a thousand is represented by:
[tex]x = 10^{3}[/tex]
As we know the average quantity of solar-wind ions in a cubic kilometer of interplanetary space near Earth, we need to make quick conversion to determine the quantity of miles of ions by this formula:
[tex]y = n\cdot 10^{-3}[/tex]
Where:
[tex]n[/tex] - Quantity of solar-wind ions, measured in units.
[tex]y[/tex] - Quantity of solar-wind ions, measured in thousands (or miles).
If we know that [tex]n = 6\times 10^{15}\,units[/tex], then:
[tex]y = (6\times 10^{15}\,units)\cdot \left(10^{-3}\,\frac{miles}{unit} \right)[/tex]
[tex]y = 6\times 10^{12}\,miles[/tex]
There are [tex]6\times 10^{12}[/tex] miles of ions in a cubic kilometer of near-Earth space.
