(a)
Interpretation:
The magnitude of uncertainty has to be identified for 317.
Concept Introduction:
Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.
(b)
Interpretation:
The magnitude of uncertainty has to be identified for 317.0.
Concept Introduction:
Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.
(c)
Interpretation:
The magnitude of uncertainty has to be identified for 3.170.
Concept Introduction:
Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.
(d)
Interpretation:
The magnitude of uncertainty has to be identified for 0.0317.
Concept Introduction:
Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.
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Chapter 2 Solutions
General, Organic, and Biological Chemistry
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