Answer:
1) Option A - 0.05 cm
2) Option A - 2%
Step-by-step explanation:
1. Given : Measurement 4.7 cm.
To find : The greatest possible error for the measurement 4.7 cm.
Solution :
The greatest possible error in a measurement is half of the measuring unit.
Measurement 4.7 cm.
4.7 was measured to the nearest tenth of a cm or 0.1 cm
So the measuring unit is 0.1.
The GPE is half of 0.1
i.e, \(\frac{0.1}{2}=0.05\)
Therefore, Option A is correct.
The greatest possible error for the measurement 4.7 cm is 0.05 cm.
2. Given : The weight of a rock sample is measured to be 2.5 pounds.
To find : What is the percent of error in the measurement?
Solution :
Measurement 2.5 pounds,
2.5 was measured to the nearest tenth of a pound or 0.1 pounds
So the measuring unit is 0.1.
The GPE is half of 0.1
i.e, \(\frac{0.1}{2}=0.05\)
The greatest possible error for the measurement 2.5 pounds is 0.05 pounds.
The correct measurement are :
2.5+0.05=2.55
The percentage error would be:
\(\frac{2.55-2.5}{2.55}\times 100=2%\)
or 2.5-0.05=2.45
The percentage error would be:
\(\frac{2.45-2.5}{2.45}\times 100=2%\)
Therefore, Option A is correct.
The percent of error in the measurement is 2%.
