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Question

In a quiz, team A scored - 40, 10, 0 and team B scored 10, 0, - 40 in three successive rounds. Which team scored more? Can we say that we can add integers in any order?  
[4 MARKS]


Solution

Score of Team A : 1 Mark
Score of Team B : 1 Mark
Who got more : 1 Mark
Does order matter : 1 Mark

Team A scored - 40, 10, 0.
Total score = - 40 + 10 + 0 = - 30

Team B scored 10, 0,- 40.
Total score = 10 + 0 +(- 40) = - 30

The scores of both teams are equal.
Yes, we can add integers in any order. We had observed that the scores obtained by both teams in successive rounds were numerically equal but different in order. Yet, the total score of both teams were equal.

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