DAV Class 7 Maths Chapter 3 Value Based Questions
Rational Numbers as Decimals Value Based Questions
1. Megha bought a book for \( \color{green} \text{₹} 112\frac{1}{2} \) from a shop. She gave \(\color{green} \text{₹} 500 \) rupee note to the shopkeeper and got the balance back. But, she realised that the shopkeeper had given her \(\color{green} \text{₹} 72 \) extra. Megha returned the extra money and had a feeling of great satisfaction.
(a) How much money had the shopkeeper returned to Megha?
Solution
\[ \begin{aligned} \text{Cost of the book}& = \text{₹} 112\frac{1}{2} \\ \\ & = \text{₹} \frac{225}{2} \\ \\ \text{Megha gave}& = \text{₹} 500 \\ \\ \text{Extra money given by shopkeeper}& = \text{₹} 72 \\ \\ \end{aligned} \] \[ \text{Total money returned by shopkeeper to Megha} \\ \\ \] \[ \begin{aligned}& = 500 - \frac{225}{2} + 72 \\ \\ & = \frac{1000 - 225 + 144}{2} \\ \\ & = \frac{775 + 144}{2} \\ \\ & = \frac{919}{2} \\ \\ & = \text{₹} 459\frac{1}{2} \\ \\ \end{aligned} \]
Answer \( \color{red} \text{₹} 459\frac{1}{2} \)
(b) What values did Megha exhibit in the above situation?
Answer \( \color{red}Honesty \)
2. Raman had to cover a distance of \( \color{green} 30 \, km \) to reach his grandmother's house. He covered \( \color{green} 11.25 \, km \) by bus, \( \color{green} 7.083 \, km \) by auto and rest by foot.
(a) How much distance did Raman cover by foot?
Solution
\[ \begin{aligned} \text{Total distance} & = 30 \, km \\ \text{Distance covered by bus} & =1 1.25 \, km \\ \text{Distance covered by auto} & = 7.083 \, km \\ \text{Distance covered by foot} & = 30 - (11.25 + 7.083) \\ & = 30 - (18.333) \\ & = 30 - 18.333 \\ & = 11.667 \\ \end{aligned} \]
Answer Distance covered by foot \( = \color{red}11.667 \, km \)
(b) How is Raman benefited if he walks down to any of his destinations? In what ways does it affect the environment?
Answer