DAV Class 7 Maths Chapter 4 Value Based Questions
Exponents and Powers Value Based Questions
1. Sneha wants to show gratitude towards her teacher by giving her a self-made card. She chose a yellow coloured rectangular sheet of paper. The length of the sheet \( (2^5) \ cm \) and breadth is \( (2^4) \ cm \).
(a) Find the area of the paper she has to work for making the card.
\[ \begin{align*} Length & = (2^5) \ cm\\ Breadth & = (2^4) \ cm\\ \text{Area} &= \text{Length} \times \text{Breadth} \\ &= (2^5) \ cm \times (2^4) \ cm \\ &= (2^{5+4}) \ cm^2 \\ &= (2^9) \ cm^2 \\ &= \color{green} 512 \ cm^2 \\ \end{align*} \]
Answer Area of the sheet of paper \( = \color{red} 512 \ cm^2 \)
(b) What value of Sneha is depicting here?
Answer Grateful, loyal, and respectful
2. Aditya wanted to donate some cloth material to some poor people in a locality. His mother purchased \( (4^3) \ m \) cloth and donated \( (2^2) \ m \) to each person.
(a) How many poor people would have received the cloth material?
\[ \begin{align*} \text{Total length of cloth} &= (4^3) \ m \\ \text{Cloth each person received} &= (2^2) \ m \\ \\ \text{No. of people who received the cloth} &= \frac{(4^3) \ \cancel m }{(2^2) \ \cancel m } \\\\ &= \frac{{(2^2)}^3}{2^2} \\ \\ &= \frac{2^6}{2^2} \\ \\ &= 2^{6-2} \\ &= 2^4 \\ &= \color{green} 16 \end{align*} \]
Answer Number of people who received cloth material \( = \color{red} 16 \)
(b) What value of Aditya is depicting here?
Answer Caring for others