Question 2 - Page 26 - Carrom Coin Integers - Chapter 2 Class 7 - Operations with Integers (Ganita Prakash II)

Transcript

Question 2 - Page 26 From the figures below, what can you conclude about the magnitudes of a and b compared to each other, and what are their directions? Remember to start from 0.Here, we need to look at the arrows. Direction: If the arrow points right, it's positive (+). If it points left, it's negative (-). Magnitude: This just means "Size". Which arrow is longer? Let’s look at the Diagrams one-by-one Diagram 1 Arrow 𝒂 : Starts at 0 and goes Right (+). Arrow 𝒃 : Starts where 𝑎 ended and goes Left ( - ). Result: The coin lands on 𝑃, which is to the left of 0 . Conclusion: Since the coin ended up in negative territory, the backward jump (b) was bigger than the forward jump (a). Direction: 𝑎 is Positive, 𝑏 is negative Magnitude: 𝑏>𝑎 (Arrow 𝑏 is longer). Diagram 2Arrow 𝒂 : Starts at 0 and goes Right (+). Arrow 𝒃 : Starts where 𝑎 ended and goes Left ( - ). Result: The coin lands on 𝑃, which is to the right of 0 . Conclusion: Since the coin is still positive, the forward jump ( 𝑎 ) was bigger than the backward jump (b). Direction: 𝑎 is Positive, 𝑏 is negative Magnitude: 𝑎>𝑏 (Arrow 𝑎 is longer). Diagram 3Arrow 𝒂 : Starts at 0 and goes Left ( - ). Arrow 𝒃 : Starts where 𝑎 ended and goes Right (+). Result: The coin lands exactly back on 0 . Conclusion: The forward jump and backward jump were exactly the same size. They cancelled each other out! Direction: 𝑎 is negative, 𝑏 is positive Magnitude: 𝑎=𝑏 (Arrows are equal length).