The medicinal thermometer commonly used in homes can be read to ± 0.1 ° F . whereas those in the doctor's office may be accurate to ± 0.1 ° C . Percent error is often expressed as the absolute value of the difference between the true value and the experimental value, divided by the true value: percent error = | truevalue-experimentalvalue | true value ×100% The vertical lines indicate absolute value. In degrees Celsius, express the percent error expected from each of these thermometers in measuring a person's body temperature of 38.9 ° C .
The medicinal thermometer commonly used in homes can be read to ± 0.1 ° F . whereas those in the doctor's office may be accurate to ± 0.1 ° C . Percent error is often expressed as the absolute value of the difference between the true value and the experimental value, divided by the true value: percent error = | truevalue-experimentalvalue | true value ×100% The vertical lines indicate absolute value. In degrees Celsius, express the percent error expected from each of these thermometers in measuring a person's body temperature of 38.9 ° C .
Solution Summary: The author explains that the percent error in a medicinal thermometer, which is used at home and by doctors, is to be calculated.
The medicinal thermometer commonly used in homes can be read to
±
0.1
°
F
. whereas those in the doctor's office may be accurate to
±
0.1
°
C
. Percent error is often expressed as the absolute value of the difference between the true value and the experimental value, divided by the true value:
percent error =
|
truevalue-experimentalvalue
|
true value
×100%
The vertical lines indicate absolute value. In degrees Celsius, express the percent error expected from each of these thermometers in measuring a person's body temperature of
38.9
°
C
.
I don't understand the wording. The least significant digit means the last digit?
7.700 X 2.1 = 16.17 would the uncertainty be 0.01 ?
2.132 + 17 + 4.04 = 23.172 would the uncertainty be 0.001 ?
A student measures the melting point of an unknown compound to be 53.5 degrees C. She later discovers that the compound is chlorothymol, with a true melting point of 58.8 degrees C. Calculate her percent error to the correct number of significant figures. The required formula is in the image provided.
When adding or dividing measured numbers, we don’t count significant figures. Instead, we look at the precision of the measured numbers. The answer can only be as precise as the least precise measurement.
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