Answer :
Sure, let's address each part of the question step-by-step:
(a) Precision:
The precision of a measurement is the smallest unit to which the measurement is made. In the case of the value 50.0 inches, we notice that the measurement is made to the tenths place (i.e., one decimal place). Hence, the precision of this measurement is 0.1 inches.
(b) Accuracy:
The accuracy of a measurement generally depends on the measuring instrument and the method used to obtain the measurement. If this information is not provided, it is not possible to specify the exact accuracy. Therefore, in this case, the accuracy is unknown.
(c) Greatest Possible Error:
The greatest possible error in a measurement is determined as half of the precision. Since the precision here is 0.1 inches, the greatest possible error is calculated as:
[tex]\[ \text{Greatest Possible Error} = \frac{\text{Precision}}{2} = \frac{0.1 \text{ inches}}{2} = 0.05 \text{ inches} \][/tex]
To summarize:
1. Precision: 0.1 inches
2. Accuracy: Unknown
3. Greatest Possible Error: 0.05 inches
(a) Precision:
The precision of a measurement is the smallest unit to which the measurement is made. In the case of the value 50.0 inches, we notice that the measurement is made to the tenths place (i.e., one decimal place). Hence, the precision of this measurement is 0.1 inches.
(b) Accuracy:
The accuracy of a measurement generally depends on the measuring instrument and the method used to obtain the measurement. If this information is not provided, it is not possible to specify the exact accuracy. Therefore, in this case, the accuracy is unknown.
(c) Greatest Possible Error:
The greatest possible error in a measurement is determined as half of the precision. Since the precision here is 0.1 inches, the greatest possible error is calculated as:
[tex]\[ \text{Greatest Possible Error} = \frac{\text{Precision}}{2} = \frac{0.1 \text{ inches}}{2} = 0.05 \text{ inches} \][/tex]
To summarize:
1. Precision: 0.1 inches
2. Accuracy: Unknown
3. Greatest Possible Error: 0.05 inches
