Final answer:
In dimensional analysis, conversion factors have an infinite number of significant figures because they are defined values, not measurements. For example 1 inch to 2.54 cm is exact. The number of significant figures in given numbers varies and particular attention is needed for zeros.
Step-by-step explanation:
When solving problems using dimensional analysis, the number of significant figures in a conversion factor is c. infinite. Conversion factors are exact by definition because they are derived from definitions or counts, not measurements. An example is the conversion factor between inches and centimeters (1 inch = 2.54 cm exactly).
Check Your Understanding
Determine the number of significant figures in the following measurements:
- a. 0.0009 - This measurement has one significant figure.
- b. 15,450.0 - This measurement has six significant figures.
- c. 6×10³ - This number has one significant figure.
- d. 87.990 - This number has five significant figures.
- e. 30.42 - This number has four significant figures.
It is essential to pay special attention to zeros when determining significant figures, as they can be significant or simply placekeepers. Furthermore, the number of significant figures used in calculations must be consistent and reasonable for the situation presented.