Question

In a quiz, team A scored -25,9,0 and team B.scored 0, -25, 9 in three successive rounds. Which team has
scored more? Can we say that we can add integers in any order?​

Answer 1

Answer:

In a quiz,

Team A score −25, 9,0

Team B scores 0,-25,9in three rounds

Sum of scores of A team=−25+9+0=(-16)

Sum of scores of B team=0+-25+9=(-16)

The score of both team are equal i.e. −16

Yes, by adding the scores in any order, the result will be the same.

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Answer 2

Both teams have scored the same

Proof :
Step (1):-

Team A,s score in 1st round = -25
in 2nd round= +9
in 3rd round= 0

By adding all the scores of team A, we get a total of -16

Step (2) :-

Team B's score in 1st round= 0
2nd round= -25
3rd round = +9
By adding all the scores of team B, we get a total of -16

Step (3) :-

Compare both the totals.

Team A's total score compared to team B's total score

-16. =. -16
LHS. =. RHS

Therefore, we can conclude that integers can be added in any order...