In which of the following statements, number 5 is used in ordinal sense ?

Correct option is C

Ordinal numbers represent a position or rank in a sequential order. In this case, "fifth" indicates the position in the sequence of achievements in the class, making it an ordinal use of the number 5. The other options use the number 5 in a cardinal sense, indicating quantity rather than position.

The term ordinal refers to numbers that indicate position or order in a sequence (e.g., first, second, third, fifth, etc.). In option (a), the term "fifth place" denotes a position or rank in the context of an achievement list. This usage of the number "5" signifies an order or position rather than a quantity, which is a characteristic of ordinal numbers. In contrast, options (b), (c), and (d) use "five" to denote quantity, which is known as a cardinal sense.

Information Booster:

1. Ordinal Numbers: Describe position in a sequence (e.g., first, second, third).
2. Cardinal Numbers: Indicate quantity or "how many" (e.g., one, two, five).
3. Ordinal Usage Examples: First prize, third row, fifth place.
4. Cardinal Usage Examples: Five apples, three books, two pencils.
5. Importance in Mathematics: Distinguishing between ordinal and cardinal is essential for clarity in math.
6. Application: Ordinals are often used in rankings, competitions, sequences, and calendars.

Additional Information:

• (a) I am at fifth place in annual achievement in my class: Uses "fifth" as an ordinal number, indicating position in a ranking.
• (b) I have five pens in my bag: Uses "five" in a cardinal sense to denote quantity.
• (c) The team scored five goals in the match: Uses "five" in a cardinal sense to represent the number of goals scored.
• (d) There are five subjects in my syllabus: Uses "five" in a cardinal sense to denote the count of subjects.

Key Points:

• Ordinal numbers express position or order in a sequence.
• Cardinal numbers indicate a count or quantity.