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Question

In a quiz,team A scored − 40, 10, 0 and team B scored 10, 0 − 40 inthree successive rounds. Which team scored more? Can we say that wecan add integers in any order?

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Solution

Team Ascored − 40, 10, 0.

Totalscore = − 40 + 10 + 0

= −30

Team Bscored 10, 0, −40.

Totalscore = 10 + 0 + (−40)

= −30

∴The scores of both teams are equal.

Yes, wecan add integers in any order. We had observed that the scoresobtained by both teams in successive rounds were numerically equalbut different in order. Yet, the total score of both teams wereequal.


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