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

Verified step by step guidance

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

Key Concepts

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.

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.

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.