New RS Aggarwal math class 7 (Book 2) Chapter 2: Operation on integers L-8: Exercise 2 (E) Solution

New RS Aggarwal math class 7 (Book 2) Chapter 2: Operation on integers L-8: Exercise 2 (E) Solution The session is divided into two main parts: Assertion-Reasoning questions and Case-Based study questions. Here is the question-by-question breakdown: Part 1: Assertion and Reasoning (Questions 1–5) In this section, the video explains how to evaluate two statements (Assertion and Reason) and choose the correct relationship between them. Question 1: Focuses on the multiplicative inverse of $-3$. It proves that both the assertion and reason are true and that the reason correctly explains the assertion. Question 2: Analyzes the difference between two integers with opposite signs. It concludes that the assertion is true, but the reason is false because the difference is not always negative. Question 3: Discusses the sum of negative integers. It shows that while the specific calculation in the assertion is correct, the general rule in the reason (that both must be negative for the sum to be negative) is false. Question 4: Deals with the Distributive Law vs. the Associative Law. It explains that while both statements are mathematically true, the reason does not explain the assertion because they refer to different laws. Question 5: Explores why the associative property does not hold for division in all cases (specifically when $c=1$), leading to a "False" assertion but a "True" reason. Part 2: Case Study 1 – Scuba Diving (Questions 6–9) This case study follows Samir’s diving depths in Thailand. Question 6: Calculates the depth of an underwater cave after diving $43$ feet and rising $18$ feet (Result: $25$ feet deep). Question 7: Determines the depth of the "reef base" after an additional $56$-foot dive from the cave (Result: $81$ feet deep). Question 8: Finds the depth of a "ridge" after ascending $29$ feet from the reef base (Result: $52$ feet deep). Question 9: Calculates the distance between a whale (at $23$ feet deep) and the ridge (Result: $29$ feet). Part 3: Case Study 2 – Weather Station (Questions 10–13) This section tracks temperature changes from $12$ PM to $12$ AM. Question 10: Calculates the constant rate of temperature fall per hour (Result: $2^\circ\text{C}$ per hour). Question 11: Predicts the temperature at $6$ PM (Result: $-4^\circ\text{C}$). Question 12: Identifies the time when the temperature reaches the freezing point, $0^\circ\text{C}$ (Result: $4$ PM). Question 13: Finds the time when the temperature is the additive inverse of the $12$ PM temperature (Result: $8$ PM). The video concludes by summarizing the chapter and introducing the next topic, LCM and HCF