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Question 10(iii)
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?


Solution

 If steps moved down are represented by negative integers and steps moved up are represented by positive integers, then his moves will be as follows.   
Moves in part(i)
−3+2−3+2−3+2−3+2−3+2−3=−8
Moves in part(ii)
4−2+4−2+4=8
Moves in part (ii) represent going up 8 steps.

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