Question

1. which conversion factor(s) would be needed to convert nanoseconds to milliseconds?

( 1 , \text{s} = 1,000 , \text{ms} )
( 1 , \text{s} = 1,000,000,000 , \text{ns} ) and ( 1 , \text{s} = 1,000 , \text{ms} )
( 1 , \text{ns} = 1,000 , \text{ms} )
( 1 , \text{s} = 1,000,000,000 , \text{ns} )

Explanation:

To convert nanoseconds (ns) to milliseconds (ms), we need to relate both to a common unit, which is seconds (s). We know that \(1\space s = 1,000,000,000\space ns\) (to convert ns to s) and \(1\space s=1,000\space ms\) (to convert s to ms). By using these two conversion factors, we can set up a conversion: \(\text{nanoseconds}\times\frac{1\space s}{1,000,000,000\space ns}\times\frac{1,000\space ms}{1\space s}\) to get milliseconds. The other options are incorrect: \(1\space s = 1,000\space ms\) alone can't convert ns to ms, \(1\space ns=1,000\space ms\) is wrong (ns is much smaller than ms), and \(1\space s = 1,000,000,000\space ns\) alone can't get to ms.

Answer:

B. \(1\space s = 1,000,000,000\space ns\) and \(1\space s = 1,000\space ms\)