Question

$\huge\red{Question}$


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 ?



​

Answer 1

$\huge\color{purple}\boxed{\colorbox{black}{\underline{Question↓}}}$

• 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 ?

$\huge\color{cyan}\boxed{\colorbox{black}{\underline{Answer↓}}}$

• Both the team scored the same, “-30 ”

$\small\pink{★ Step-by-step \space explantion :-}$

Team A

Total score of Team A

→ -40 + 10 + 0

→ -40 + 10

→ -(40 - 10)

→ - 30

Team B

Total score of Team B

→ 10 + 0 + (-40)

→ 10 - 40

→ - (-10 + 40)

→ -(40 - 10)

→ -30

Hence, both team scored the same , -30

Yes, we can add the integer in any order.

Answer 2

Answer:

Solution:

Let us add the scores.

Scores of team A = - 40, 10, 0

Total score of team A = - 40 + 10 + 0 = -30

Scores of team B = 10, 0, - 40

Total scores of team B = 10 + 0 + (- 40) = -30

So, the scores of both teams are equal.

We observe that the scores obtained by both teams are numerically equal, but their order of scores is different. Hence, we can add integers in any order.