In your journal, you identified careers that involve irrational numbers. You brainstormed or researched jobs that use pi or Euler’s number to do their work.
Imagine that your friend loves to plan parties, and he wants to be an event planner someday. He does not think he needs to know how to find a number between two rational numbers. He also says he will never use pi again in his life after math class. You think of some of the tasks he might need to do as an event planner:
Choose a round table that is the correct size to fit six people
Your friend might actually need to use irrational numbers, such as pi, when choosing a round table for events. The reason is that the size of a round table is often determined by its diameter. To ensure that six people can comfortably fit around the table, your friend will need to calculate the appropriate diameter.
The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Since your friend wants to find the diameter, which is twice the length of the radius, he can rearrange the formula to solve for the diameter:
D = 2r
D = 2(C/2π)
D = C/π
By knowing the circumference needed to accommodate six people, your friend can divide it by pi to find the appropriate diameter of the round table.
So even as an event planner, a basic understanding of pi and how to use it will be beneficial for your friend when it comes to choosing round tables for parties.
As an event planner, your friend may not directly use irrational numbers like pi or Euler's number in their work on a daily basis. However, knowing how to find a number between two rational numbers can still be a useful skill in event planning. It can help them make accurate calculations, comparisons, and estimations when working with budgets, timelines, and guest numbers.
For example, when your friend needs to choose a round table that is the correct size to fit six people, understanding how to find a number between two rational numbers can come into play. Here's a step-by-step guide on how your friend can approach this task:
1. Determine the required personal space: Decide on the amount of personal space your friend wants to allocate per person. This can depend on the formality of the event, the type of meal being served, and the average size of the guests.
2. Calculate the total space needed: Multiply the personal space per person by the number of guests. For example, if each person needs approximately 3 square feet of space, multiply that by 6 guests to get 18 square feet.
3. Find an appropriate table size: Research and find round tables with diameters that can accommodate the required space. The size of the table should allow at least the total space needed to comfortably fit around it.
4. Consider table configurations: Apart from the table size, consider the configuration of the tables. If your friend prefers a single round table, ensure that there is adequate space for guests to comfortably access their seats. If multiple round tables are being used, plan for enough space between tables for easy movement.
5. Verify the table size: Before finalizing the decision, verify the measurements of the chosen table or contact the rental company to ensure accuracy and availability.
Remember, while these steps do not directly involve irrational numbers like pi, having a strong foundation in rational numbers and number operations will still be helpful in making accurate calculations and decisions as an event planner.