Domanda del libro di testo
In which of the following pairs do both numbers contain the same number of significant figures?
a. 11.0 m and 11.00 m
b. 0.0250 m and 0.205 m
c. 0.000 12 s and 12 000 s
d. 250.0 L and 2.5 x 10⁻² L
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2. Measurement and Problem Solving
Significant Figures (Simplified)
1:43 minutiProblema 17
Domanda del libro di testo
dentify the numbers in each of the following statements as measured or exact: a. A patient has a mass of 67.5 kg.
Guida verificata passo dopo passo1
Understand the difference between measured and exact numbers: Measured numbers are obtained from measurements and have a degree of uncertainty, while exact numbers are counted or defined and have no uncertainty.
Identify the context of the number given in the statement: In this case, the number is related to the mass of a patient.
Consider how mass is typically determined: Mass is usually measured using a scale or balance, which introduces some level of measurement uncertainty.
Recognize that because mass is determined through measurement, the number 67.5 kg is a measured number.
Conclude that the number 67.5 kg is a measured number because it is obtained through a measurement process and has an associated uncertainty.
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Measured Numbers
Measured numbers are values obtained through measurement and are subject to uncertainty. They include a degree of precision based on the measuring instrument used. For example, the mass of a patient measured as 67.5 kg indicates that the measurement is precise to one decimal place, but it may not be exact due to potential variations in the measurement process.
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Exact Numbers
Exact numbers are values that are counted or defined and have no uncertainty associated with them. They are considered to have an infinite number of significant figures. Examples include the number of students in a classroom or defined quantities like 1 meter = 100 centimeters, where the values are exact and not subject to measurement error.
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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 interpreting measured numbers, as they indicate the reliability of the measurement and help in determining how to report results accurately.
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01:09Significant Figures (Simplified) Example 2
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