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?

Options

A. Team A
B. Team B
C. Both scored equal
D. Cannot be determined

Explanation

To solve the problem, we need to calculate the total scores for both teams A and B and then compare them.

### Step 1: Calculate Team A's Total Score
Team A scored: -40, 10, and 0.

Total score for Team A:
\[ \text{Total Score of Team A} = -40 + 10 + 0 \]

### Step 2: Simplify Team A's Total Score
Now, we simplify the expression:
\[ -40 + 10 + 0 = -40 + 10 = -30 \]
So, the total score for Team A is -30.

### Step 3: Calculate Team B's Total Score
Team B scored: 10, 0, and -40.

Total score for Team B:
\[ \text{Total Score of Team B} = 10 + 0 + (-40) \]

### Step 4: Simplify Team B's Total Score
Now, we simplify the expression:
\[ 10 + 0 - 40 = 10 - 40 = -30 \]
So, the total score for Team B is also -30.

### Step 5: Compare the Scores
Now, we compare the total scores of both teams:
- Team A's score = -30
- Team B's score = -30

Since both scores are the same, we conclude that:
**Both teams scored the same.**

### Step 6: Answer the Second Part of the Question
The second part of the question asks if we can add integers in any order. Since both teams had the same integers but in different orders, and they resulted in the same total score, we can conclude that:
**Yes, we can add integers in any order.**

### Final Answer:
- Team A's total score: -30
- Team B's total score: -30
- Conclusion: Both teams scored the same.
- Yes, integers can be added in any order.

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