Numbers Between Rational Numbers Discussion
Math 8 Q1 (Pre-Algebra) / The Number System
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:
Decide how many cakes to order
- Determine the number of guests attending the party and calculate how many servings each cake can provide. This involves rational numbers as it requires working with whole numbers and fractions.
- Consider factors such as dietary restrictions or preferences of the guests, which may affect the quantity and type of cakes needed.
- Take into account the budget and pricing of the cakes to find the most cost-effective option, which could involve comparing rational numbers and making choices based on calculations.
- Plan for any potential leftovers or extra servings that might be needed, again involving calculations with rational numbers.
While finding a number between two rational numbers may not be directly applicable to ordering cakes, understanding rational numbers and their operations is essential in making decisions related to quantities, quantities, and cost in event planning. Additionally, although your friend may not use pi again directly in his career, a strong foundation in mathematics, including knowledge of irrational numbers, can enhance problem-solving skills and critical thinking abilities, which are valuable in any profession.
As an event planner, your friend might need to decide how many cakes to order for a party. Although he may not think he needs to know how to find a number between two rational numbers, understanding this concept can be helpful in determining the appropriate quantity of cakes to order to ensure there is enough for all the guests.
To find a number between two rational numbers, your friend can follow these steps:
Step 1: Determine the two rational numbers between which you want to find a number. Let's say the two rational numbers are 3/4 and 5/6.
Step 2: Convert both rational numbers to a common denominator. In this case, the common denominator can be 24. Therefore, 3/4 can be written as 18/24 and 5/6 can be written as 20/24.
Step 3: Subtract the two rational numbers. Subtracting 18/24 from 20/24 gives us 2/24.
Step 4: Simplify the resulting fraction, if possible. 2/24 simplifies to 1/12.
Therefore, a number between 3/4 and 5/6 is 1/12. Your friend can use this information to estimate the number of cakes he should order, taking into account the number of guests and their cake preferences.