Class 8 Maths Number System Case Study Questions
Class 8 Maths Number System Case Study Questions help students explore concepts like whole numbers, integers, and rational numbers. These case studies encourage logical thinking, step-by-step problem-solving, and practical understanding. Moreover, they prepare students for CBSE and ICSE exams efficiently.
Why Practice Number System Case Studies?
Practicing Number System Case Study Questions for Class 8 improves accuracy and analytical skills. Additionally, downloadable PDFs and free video tutorials simplify complex concepts. Therefore, consistent practice ensures stronger exam performance. Teachers and students can also use these case studies for interactive learning sessions.
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Students can follow detailed video tutorials for Class 8 Maths Number System Case Studies. These videos guide learners through examples, transitions, and solutions, making mathematical learning more engaging and result-oriented.
Case Study 3: Financial Portfolio Analysis
A financial analyst is tracking the performance of six different stocks in an investment portfolio over one trading week. The daily percentage changes (expressed as decimals) for the stocks are: Stock A: +0.25, Stock B: -0.15, Stock C: +0.08, Stock D: -0.22, Stock E: +0.17, Stock F: -0.05. The analyst needs to convert these decimal values to rational numbers in simplest form to perform precise mathematical operations. She is particularly interested in understanding how these rational numbers behave under various operations and their representation on the number line. The portfolio’s overall performance depends on the associative and closure properties of these rational number operations, and the analyst must determine whether the net result of all stock movements falls within the expected range of rational number outcomes for proper risk assessment and investment decision-making.
Solution: Converting decimals to fractions: Stock A: +0.25 = +1/4, Stock B: -0.15 = -3/20, Stock C: +0.08 = +2/25, Stock D: -0.22 = -11/50, Stock E: +0.17 = +17/100, Stock F: -0.05 = -1/20.
Solution: Sum = 0.25 + (-0.15) + 0.08 + (-0.22) + 0.17 + (-0.05) = 0.08 = 8/100 = 2/25.
Solution: Distances from zero: Stock A: 0.25, Stock B: 0.15, Stock C: 0.08, Stock D: 0.22, Stock E: 0.17, Stock F: 0.05. Stock F has the smallest distance (0.05).
Solution: The closure property of rational numbers guarantees that the product of any two rational numbers will also be a rational number.
Solution: Stock C: 2/25 = 8/100, Stock E: 17/100. Average = (8/100 + 17/100)/2 = (25/100)/2 = 25/200 = 1/8.