#### 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?

#### Solution

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.

Is there an error in this question or solution?

Solution 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? Concept: Properties of Addition and Subtraction of Integers - Commutative Property.