If there are multiple strikes causing movements in the order 1, – 2 - Carrom Coin Integers

part 2 - Question 1 - Page 26 - Carrom Coin Integers - Chapter 2 Class 7 - Operations with Integers (Ganita Prakash II) - Class 7 (Ganita Prakash 1, 2 & old NCERT)

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Question 1 - Page 26 If there are multiple strikes causing movements in the order 1, – 2, 3, – 4, …, – 10, what is the final position of the coin?Our sequence is 1, –2, 3, –4, 5, –6, 7, –8, 9, –10 This reveals a pattern: If we group them in pairs, sum is –1 Example: 1 + (–2) = –2 + 1 = – (2 – 1) = –1 3 + (–4) = –4 + 3 = – (4 – 3) = –1 5 + (–6) = –6 + 5 = – (6 – 5) = –1 7 + (–8) = –8 + 7 = – (8 – 7) = –1 9 + (–10) = –10 + 9 = – (10 – 9) = –1 We have 5 groups, and each group equals –1 So, Sum = (-1) + (-1) + (-1) + (-1) + (-1) = –5 Thus, The final position of the coin is -5. Visualised:

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