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,
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,
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:
or 2.5-0.05=2.45
The percentage error would be:
Therefore, Option A is correct.
The percent of error in the measurement is 2%.