Measure the length of each of the objects in diagrams (a), (b), and (c) using the metric ruler in the figure. Indicate the numberof significant figures for each and the estimated digit for each. (2.2)a.

Verified step by step guidance

1. Place the left end of the object at the zero mark on the metric ruler.
2. Observe where the right end of the object aligns with the ruler to determine its length.
3. Identify the smallest division on the ruler to understand the precision of the measurement.
4. Record the measurement to the nearest mark, and estimate one additional digit beyond the smallest division for precision.
5. Count the total number of significant figures in your measurement, including the estimated digit.

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 ensuring that the precision of the measurement is communicated effectively.

Measurement Uncertainty

Measurement uncertainty refers to the doubt that exists about the result of a measurement. It is important to estimate the last digit of a measurement, which is often referred to as the estimated digit. This digit reflects the precision of the measuring instrument and helps convey the reliability of the measurement.

Metric System and Rulers

The metric system is a decimal-based system of measurement used worldwide, where lengths are typically measured in meters, centimeters, and millimeters. A metric ruler is a tool used to measure lengths, marked in centimeters and millimeters, allowing for precise measurements. Familiarity with using a metric ruler is essential for accurately measuring objects and reporting their dimensions.