What is a Class 8 Maths Case Study on Exponents?

A Class 8 Maths Case Study on Exponents focuses on understanding powers, laws of exponents, and their real-life applications. Students can download solved examples and PDFs to master this topic effectively.

How do exponents and powers help in Class 8 mathematics?

Exponents and powers simplify large numbers and make calculations easier. In Class 8 mathematics, they are used in case study questions to build conceptual understanding and problem-solving skills.

Where can I find Class 8 Maths Exponents case study questions with answers?

You can find Class 8 Maths Exponents case study questions with detailed answers and downloadable PDF files on educational websites offering CBSE and ICSE resources.

What are the key topics in Exponents and Powers for Class 8?

The key topics include laws of exponents, powers with negative exponents, standard form, and numerical problems based on scientific notation. These topics often appear in Class 8 Maths case studies.

How can video tutorials help with Class 8 Exponents case study questions?

Video tutorials explain the laws of exponents step by step and demonstrate how to solve Class 8 Maths case study questions. They improve understanding and help students prepare for CBSE and ICSE exams.

Class 8 Maths Case Study on Exponents - Udgam Welfare Foundation

A group of students from Class 8 studied how exponents are used in finance to represent large numbers and compound growth. Their school organized a mock investment activity. Each student was given a virtual investment of Rs. \(5 \times 10^3\). The virtual interest rate was 10% per year, compounded annually. The challenge was to calculate the value of their investment after 3 years using the formula \(A = P(1 + r)^t\), where \(P\) is the principal, \(r\) is the rate (in decimal), and \(t\) is the time in years.

In addition, they compared their final amounts with a class fund of Rs. \(1 \times 10^6\) and learned how large monetary figures are represented in standard form in banking and economics. Through this activity, the students understood the real-life application of exponents in financial growth and large value representation.

MCQ Questions:

1. What is the value of each student’s investment after 3 years at 10% interest compounded annually?

(A) Rs. \(6.55 \times 10^3\)

(B) Rs. \(7.5 \times 10^3\)

(D) Rs. \(5.5 \times 10^3\)

Solution:

\(A = 5 \times 10^3 (1 + 0.1)^3 = 5 \times 10^3 (1.331) = 6.655 \times 10^3 \approx 6.55 \times 10^3.\)

2. Represent Rs. 6,550 in standard form.

(A) \(6.55 \times 10^3\)

(B) \(6.55 \times 10^2\)

(D) \(0.655 \times 10^4\)

Solution:

To convert 6,550, move the decimal three places left: \(6.55 \times 10^3.\)

3. The total investment of 100 students at the end of 3 years would be approximately:

(A) \(6.55 \times 10^4\)

(B) \(6.55 \times 10^5\)

(D) \(6.55 \times 10^3\)

Solution:

Total \(= 100 \times 6.55 \times 10^3 = 1 \times 10^2 \times 6.55 \times 10^3 = 6.55 \times 10^{5}.\)

4. If the class fund is Rs. \(1 \times 10^6\), how many times greater is it than one student’s final investment?

(A) \(10^2\)

(B) \(10^3\)

(D) \(10^4\)

Solution:

\(\dfrac{1 \times 10^6}{6.55 \times 10^3} \approx \dfrac{1}{6.55} \times 10^{6-3} \approx 0.15 \times 10^3 \approx 10^2.\)

5. If the same investment continues for 5 years at 10% interest, find the approximate amount.

(A) Rs. \(8.05 \times 10^3\)

(B) Rs. \(7.5 \times 10^3\)

(D) Rs. \(10 \times 10^3\)

Solution:

\(A = 5 \times 10^3 (1.1)^5 = 5 \times 10^3 \times 1.6105 = 8.05 \times 10^3.\)

Class 8 Maths Case Study on Exponents

Class 8 Maths Case Study on Exponents

Key Concepts in Exponents and Powers

Video Tutorial and Practice Questions

Case Study 4: Class 8 Maths Case Study on Exponents

MCQ Questions:

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