SOLUTION: A chemist was preparing a solution that should have included 35 milligrams of a chemical. If she actually used 36.4 milligrams, what was her percentage error (to the nearest 0.01%)

Question 1101751: A chemist was preparing a solution that should have included 35 milligrams of a chemical. If she actually used 36.4 milligrams, what was her percentage error (to the nearest 0.01%)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
In absolute terms, the error was ,
but an error of does not represent a big fraction of the target amount.
As a fraction, it is

A chemist would not say it should have included "35" milligrams.
If you ask for 35 mg, you have to accept 34.50mg and 35.49mg as being "35mg".
If the chemist have to be more precise than that,
you ask for 35.0mg, or 35.00 mg, with more significant digits.
You probably would say something about the amount being within 1% of 35.0 mg,
or within 0.5mg of 35.0mg, or within 0.01% of 35.000 mg,.

RELATED QUESTIONS
A chemist was preparing a solution that should have included 35 milligrams of a chemical. (answered by Alan3354)

A chemist wants to get 120 mL, of a 87% solution. If she has to make it by mixing a 80%... (answered by josgarithmetic)

Dr. Alvarado is a chemist. She needs to mix 10 liters of a solution of a certain chemical (answered by rothauserc)

A chemist 80 mil of 25% chemical solution. he only has a 50% chemical solution and a 10%... (answered by josmiceli,stanbon)

a chemist needs a solution that is 75% acid but only has solutions that are 35% and 85%... (answered by stanbon)

A chemist has a solution that is 20% peroxide and another solution that is 70% peroxide.... (answered by mathmaven53)

A chemist has a 25% and a 50% acid solution. How much of each solution should be used to... (answered by checkley75)

A chemist has a 35% and a 15% acid solution. How much of each solution should be used to... (answered by josgarithmetic)

CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: Suppose the amount of a radioactive... (answered by ankor@dixie-net.com,gonzo)