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Ch.1 - Chemical Tools: Experimentation & Measurement
McMurry - Chemistry 8th Edition
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Capitolo 1, Problema 87f

How many significant figures are in each of the following measurements? (f) 10 students

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1
Identify the type of measurement: The number of students is a count, not a measurement with a tool.
Understand that counts of objects (like students) are considered exact numbers.
Exact numbers have an infinite number of significant figures because they are not subject to measurement uncertainty.
Recognize that in scientific contexts, exact numbers are often used as constants or conversion factors.
Conclude that the number '10 students' has an infinite number of significant figures.

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Significant Figures

Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion. Understanding significant figures is crucial for accurately reporting measurements and calculations in scientific contexts.
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Significant Figures Example

Counting Numbers

Counting numbers, such as '10 students', are considered exact numbers and have an infinite number of significant figures. This is because they represent whole quantities without uncertainty. In scientific measurements, distinguishing between exact and measured values is essential for determining the appropriate number of significant figures.
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Number of Electrons in Shells

Measurement Uncertainty

Measurement uncertainty refers to the doubt that exists about the result of any measurement. It is important to recognize that while some measurements have inherent uncertainty, counting numbers do not. This concept helps in understanding how to report results accurately and the importance of significant figures in conveying precision.
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Uncertainty Principle Formula
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How many significant figures are in each of the following measurements? (d) 510 J

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The Vehicle Assembly Building at the John F. Kennedy Space Center in Cape Canaveral, Florida, is the largest building in the world, with a volume of 3,666,500 m3 (a) Round off this quantity to four significant figures and then to two significant figures.

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How many significant figures are in each of the following measurements? (c) 5 ft 3 in.

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The Vehicle Assembly Building at the John F. Kennedy Space Center in Cape Canaveral, Florida, is the largest building in the world, with a volume of 3,666,500 m3 (b) Express the answers in scientific notation.

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The diameter of the Earth at the equator is 7926.381 mi. (a) Round off this quantity to four significant figures and then to two significant figures.

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How many significant figures are in each of the following measurements? (e) 5.10⨉102 J

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