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  1. Chapter 1 Class 7 Integers
  2. Serial order wise
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Ex .1, 10 A water tank has steps inside it. A monkey is sitting on the topmost step (i.e., the first step). The water level is at the ninth step. (i) He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level? We represent, Going down by a negative number. Going up by a positive number. Since monkey starts from first step, his current position is 1st step And he has to go to 9th step So, his final position will be 9th step Let’s check how he goes So, it took 11 jumps, to go to the last step We represent, Going down by a negative number. Going up by a positive number. Since monkey starts from first step, his current position is 1st step And he has to go to 9th step So, his final position will be 9th step Let’s check how he goes Ex 1.1, 10 A water tank has steps inside it. A monkey is sitting on the topmost step (i.e., the first step). The water level is at the ninth step. (iii) If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers, represent his moves in part (i) and (ii) by completing the following; (a) – 3 + 2 – ... = – 8 (b) 4 – 2 + ... = 8. In (a) the sum (– 8) represents going down by eight steps. So, what will the sum 8 in (b) represent? In part (i) He goes down 8 steps by going down 3 steps, and coming up 3 steps. The sum is –3 + 2 –3 + 2 – 3 + 2 – 3 + 2 – 3 + 2 –3 = – 8 In part (ii) He goes up 8 steps by going up 4 steps, and going down 2 steps. The sum is 4 – 2 + 4 – 2 + 4 = 8 Here, 8 represents going up 8 steps

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.