Question #ece68
1 Answer
You need to multiply it by
Explanation:
You need to become familiar with metric prefixes, which are used to indicate either multiples of a basic unit, which in your case is Hertz, or **fractions of a basic unit.
You are given a frequency expressed in megahertz, or
More specifically, mega- means one million times more than the basic unit. This means that if you take one hertz and multiply it by one million, or
Likewise, to go from megahertz back to hertz, you would have to reverse the process, i.e .divide by one million.
This means that if you divide one megahertz by
#"1 Hz" = "1 MHz"/10^6 = 10^(-6)"MHz"#
Therefore, to convert
#99.5color(red)(cancel(color(black)("MHz"))) * "1 Hz"/(10^(-6)color(red)(cancel(color(black)("MHz")))) = 99.5 * 10^(6)"Hz" = 9.95 * 10^(7)"Hz"#
Alternatively, you can use the conversion factor
#"1 MHz" = 10^(6) * 1"Hz" = 10^(6)"Hz"#
to get the same result
#99.5color(red)(cancel(color(black)("MHz"))) * (10^6"Hz")/(1color(red)(cancel(color(black)("MHz")))) = 9.95 * 10^(7)"Hz"#