Final answer:
To calculate the Cardinal Number of a Set, count the number of distinct elements in the set. When performing calculations, round the answer to the correct significance. For example, a standard deck of cards has a cardinal number of 52 regarding total cards, and 12 for the subset of face cards.
Step-by-step explanation:
Calculating the Cardinal Number of a Set
To find the Cardinal Number of a Set, you simply count the distinct elements in the set. The cardinal number indicates the size or cardinality of the set. For example, if a set is represented as S = {2, 4, 6, 8, 10}, the cardinal number of set S is 5, because there are five distinct elements within it.
When entering data into a calculator or computer to solve mathematical problems such as finding a linear equation, one should always round the final answer to the appropriate level of significance. If you're calculating with significant figures, the rules require that the final answer must be rounded to the least precise measurement used in the calculation. If the farthest right significant figure in your inputs is in the ones place, your final answer should also be rounded to the ones place.
In practical scenarios, understanding the cardinal number can be used in probability calculations. For instance, the probability of drawing a face card from a standard deck of 52 cards can be calculated knowing that there are 12 face cards, which is the cardinal number for the set of face cards in the deck.