In a quiz, team A scored - 40, 10, 0 and team B scored 20, 0, - 40 in three successive rounds, team C scored 30,30,20 and team D scored 80, -20, 10.
(i) Which team scored the highest?
(ii) Which team scored the lowest?
(ii) What is the difference between the teams which scored the highest and the team which scored lowest?
(iii) Can we say that we can add integers in any order?
[4 MARKS]
In a quiz, team A scored - 40, 10, 0 and team B scored 20, 0, - 40 in three successive rounds, team C scored 30,30,20 and team D scored 80, -20, 10.
(i) Which team scored the highest?
(ii) Which team scored the lowest?
(ii) What is the difference between the teams which scored the highest and the team which scored lowest?
(iii) Can we say that we can add integers in any order?
[4 MARKS]
Each question - 1 Mark
Team A - 40, 10, 0.
Total score = - 40 + 10 + 0 = - 30
Team B - 20, 0,- 40.
Total score = 20 + 0 +(- 40) = - 20
Team C - 30, 30, 20
Total score = 30 + 30 + 20 = 80
Team D - 80, -20, 10
Total score = 80 - 20 + 10 = 90
(i) So, team D scored the highest = 90
(ii) Team A scored the lowest =-30
(iii) The difference between the highest scorer and the lowest scorer
= 90 - (-30) = 90 + 30 = 120
(iv)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 was equal. It is the associative property of addition of integers.
Each question - 1 Mark
Team A - 40, 10, 0.
Total score = - 40 + 10 + 0 = - 30
Team B - 20, 0,- 40.
Total score = 20 + 0 +(- 40) = - 20
Team C - 30, 30, 20
Total score = 30 + 30 + 20 = 80
Team D - 80, -20, 10
Total score = 80 - 20 + 10 = 90
(i) So, team D scored the highest = 90
(ii) Team A scored the lowest =-30
(iii) The difference between the highest scorer and the lowest scorer
= 90 - (-30) = 90 + 30 = 120
(iv)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 was equal. It is the associative property of addition of integers.
