Essay type questions with a scenario about types of numbers

Scenario:

You are planning a school event and you need to select a certain number of students from each grade level to participate. You have decided on the following distribution: 10 students from 9th grade, 15 students from 10th grade, 20 students from 11th grade, and 25 students from 12th grade.

Essay Questions:

1. Identify and explain the different types of numbers involved in this scenario. How are they relevant to the task of selecting students for the event?

2. How can you use different types of numbers, such as natural numbers, whole numbers, integers, and irrational numbers, to represent the quantities of students in each grade level for the event? Provide examples and explanations for each type of number.

3. Discuss the concept of ratios in relation to the distribution of students for the event. How can ratios be used to ensure a fair and balanced selection of students from each grade level?

4. How can the concept of fractions be applied to represent the proportion of students selected from each grade level for the event? Explain how fractions can be used to calculate the total number of students participating in the event.

5. What role do decimal numbers play in this scenario? How can decimal numbers be used to represent the percentage of students selected from each grade level for the event? Discuss the significance of decimal numbers in determining the overall distribution of students.