DAV Class 7 Maths Chapter 1 Value Based Questions

Rational Numbers Value Based Questions

1.Sukhdev, a farmer had a son and a daughter. He decided to divide his property among his children. He gave \( \displaystyle \frac{2}{5} \) to his son and \( \displaystyle \frac{4}{10} \) to his daughter and rest to a charitable trust.

(a) Whose share was more, son's or daughter's?

\[ \begin{align*} \text{Son's share} & = \frac{2}{5} \\ \\ \text{Daughter's share} & = \frac{4}{10} \\ \\ \frac{2}{5} &\quad {\Huge \times} \quad \frac{4}{10} \\ \\ 2 \times 10 &\quad \text{and} \quad 4 \times 5 \\ \\ 20 &\quad = \quad 20 \\ \\ \frac{2}{5} &\quad = \quad \frac{4}{10} \\ \end{align*} \]

Answer The share of both was equal.

(b) What do you feel about Sukhdev's decision? Which values are exhibited here?

Answer Sukhdev's decision reflects fairness and generosity. He exhibits values of justice, equality, and philanthropy.

2. Kavita along with her family was planning a vacation at a hill station. They were confused about where to go. Kavita's mother asked her to find out the maximum temperature of a few hill stations to help decide on the place to visit. She checked the weather report on the internet and found that:

\( \begin{align*} \text{Simla's temperature} &: \left(\frac{-7}{2}\right)^\circ C \\ \\ \text{Dalhousie's temperature} &: -5^\circ C \\ \\ \text{Manali's temperature} &: \left(\frac{-8}{5}\right)^\circ C \\ \end{align*} \)

(a) Arrange the temperatures of these hill stations in ascending order.

\[ \begin{align*} \frac{-7}{2}, \frac{-5}{1}, \frac{-8}{5} \\ \\ \end{align*} \] \[ \begin{array}{c|ccc} 2 & 2, & 1, & 5 \\ \hline 5 & 1, & 1, & 5 \\ \hline & 1, & 1, & 1 \\ \end{array} \] \[ \begin{align*} \text{LCM} &= 2 \times 5 \\ &= 10 \\ \\ \frac{-7 \times \color{green} 5}{2 \times \color{green} 5} &= \frac{-35}{10} \\ \\ \frac{-5 \times \color{green} 10}{1 \times \color{green} 10} &= \frac{-50}{10} \\ \\ \frac{-8 \times \color{green} 2}{5 \times \color{green} 2} &= \frac{-16}{10} \\ \\ \text{Ascending order} &= \frac{-50}{10}, \frac{-35}{10}, \frac{-16}{10} \\ \\ \implies & \color{green} -5, \left(\frac{-7}{2}\right), \left(\frac{-8}{5}\right) \\ \end{align*} \]

Answer: Ascending order: \( \displaystyle \color{red} -5, \left(\frac{-7}{2}\right), \left(\frac{-8}{5}\right)\)

(b) Which place will they decide to visit?

Answer: Manali

Answer: Responsible Decision Making