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?


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Answer 1

Explanation:

Solution:

Known:

The scores of teams A and B

Unknown:

To find the total score of each team separately.

Steps:

Scores of Team A-40,10,0

Add the scores,

Total score of Team A-40+10+0-30

Scores of Team

B-10,0,-40

Add the scores,

Total score of Team B 10+0+(-40) 10+0-40--30

We observe that the scores of both the teams are Equal in numbers.

Yes. We can add integers in any order even though their order is different from the above observation.

Answer 2

${\large{\pmb{\sf{\underline{RequirEd \; Solution...}}}}}$

${\bigstar \:{\pmb{\sf{\underline{Understanding \: the \: question...}}}}}$

⋆ This question says that there is a quiz held. In that quiz there are two teams named A and B respectively. It is given that in three successive rounds the team A scored -40 , 10 and 0 points. And the team B scored 10 , 0 and -40 Now this question is asking that which team scored more? Also, can we say that we can add integers in any order?

${\bigstar \:{\pmb{\sf{\underline{Given \: that...}}}}}$

⋆ In a quiz team a scored -40 , 10 and 0 points in three successive rounds.

⋆ In that quiz also there is a team B and it scored 10 , 0 and -40 points in three successive rounds.

${\bigstar \:{\pmb{\sf{\underline{To \: find...}}}}}$

⋆ Which team score more?

⋆ Can we say that we can add integers in any order?

${\bigstar \:{\pmb{\sf{\underline{Some \: knowledge...}}}}}$

⋆ Integers: Integers are denotes by the symbol Z. It is represented by Z because Z cames from the German word 'zahlen' which means 'to count' The set of whole numbers and negative of natural numbers are known as integers. Integers can be negative or positive. Zero is neither positive nor negative number.

${\bigstar \:{\pmb{\sf{\underline{Full \: Solution...}}}}}$

⋆ In a quiz team a scored -40 , 10 and 0 points in three successive rounds.

⇒ Score of Team A = -40 , 10 and 0

⇒ Score of Team A = -40 + 10 + 0

⇒ Score of Team A = -40 + 10

⇒ Score of Team A = -30

• Henceforth, -30 is the score scored by Team A.

⋆ In a quiz team B scored 10 , 0 and -40 points in three successive rounds.

⇒ Score of Team A = 10 , 0 and -40

⇒ Score of Team A = 10 + 0 + (-40)

⇒ Score of Team A = 10 + (-40)

⇒ Score of Team A = 10 - 40

⇒ Score of Team A = -30

• Henceforth, -30 is the score scored by Team A.

${\bigstar \:{\pmb{\sf{\underline{Solution...}}}}}$

~ Which team score more?

Solution: We observe that team A scored -30 and team B also scored -30 Henceforth, -30 = -30 Henceforth, both teams scored equal.

~ Can we say that we can add integers in any order?

Solution: Yes, we can add integers in any order. If you observe that bith teams have same type of score numerically but these are differ in series. But when they are be added then they give the same answer.