Question

How do you convert \[4.0\times {{10}^{7}}\] micrograms to pounds (lbs)?

Answer 1

Hint: In this problem, we have to convert the given micrograms to pounds. We know that a pound is a measurement of mass used in the imperial system and is accepted on a day-to-today life basis as a unit of weight. We know that a microgram is equal to one-millionth of a gram. We should know that one microgram is equal to \[2.20462\times {{10}^{-9}}\]pounds. We can now multiply the given micrograms to \[2.20462\times {{10}^{-9}}\] , to get the value of the pounds equivalent to the given micrograms.

Complete step by step answer:
We know that the given measurement is \[4.0\times {{10}^{7}}\] micrograms
We have to convert the given micrograms into its equivalent pounds.
We know that the conversion formula is,
1 microgram = \[2.20462\times {{10}^{-9}}\]pounds.
We can now multiply the given micrograms to \[2.20462\times {{10}^{-9}}\] , to get the value of the pounds equivalent to the given micrograms.
\[\Rightarrow 4.0\times {{10}^{7}}\times 2.20462\times {{10}^{-9}}\]
We can now simplify the above steps by multiplying the numbers and the power terms separately, we get
\[\begin{align}
  & \Rightarrow 4.0\times 2.20462\times {{10}^{-9}}\times {{10}^{7}} \\
 & \Rightarrow 8.81848\times {{10}^{-2}} \\
\end{align}\]

Therefore, the answer is \[8.81848\times {{10}^{-2}}\]pounds (lbs)

Note: Students make mistakes while remembering the exact values to be converted while multiplying or dividing the number to the given value. i.e. we should know that 1 microgram = \[2.20462\times {{10}^{-9}}\]pounds. . These values will help us to convert from one unit to the other. We should always remember that the correct unit symbol must be there at the end of the problem.