Q. (1) Following number line shows the temperature in degree Celsius (C) at different places on a particular day.
(a) Observe this number line and write the temperature of the places marked on it
(b) What is the temperature .difference between the hottest and the coldest places among the above ?
(c) What is the temperature difference between Lahulspiti and Srinagar ?
(d) Can we say temperature of Srinagar and Shimla taken together is less than the temperature at Shimla ? Is it also less than the temperature at Srinagar ?
Ans (a) Lahulspiti = -8 degree Celsius
Srinagar = -2 degree Celsius
Shimla = 5 degree Celsius
Ooty = 14 degree Celsius
Bengaluru = 22 degree Celsius
(b) Temperature difference = Hottest place - Coldest place
= Bengaluru - Lahulspiti
= 22 degree Celsius - (-8) degree Celsius
= 22 degree Celsius + 8 degree Celsius
=30 degree Celsius
(c) Temperature difference = Srinagar - Lahulspiti
= -2 degree Celsius - (-8 degree Celsius )
= -2 degree Celsius + 8 degree Celsius
= 6 degree Celsius
(d) Temperature of both places = Srinagar + Shimla
= -2 degree Celsius + 5 degree Celsius
= 3 degree Celsius
Yes , the temperature of both the places is less than the temperature of Shimla.
No , the temperature of both the places is not less than the temperature of Srinagar
. Q2. In a quiz , positive marks are given for correct answers and negative marks are given for incorrect answers. If jack's scores in five successive rounds were 25, -5, -10, 15, 10, what was his total at the end?
Ans Jack score marks in rounds were 25, -5,-10, 15, 10
The total marks at the end = 25 +15 +10 -5 -10
= 50 -15
= 35
Q3. At Srinagar temperature was -5 degree Celsius on Monday and then it dropped by 2 degree Celsius on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4 degree Celsius. What was the temperature on this day?
Ans Temperature of Tuesday = Temperature on Monday - Temperature dropped
= -5 degree Celsius -2 degree Celsius
= -7 degree Celsius
Temperature on Wednesday = Temperature on Tuesday + Temperature rose
= -7 degree Celsius + 4 degree Celsius
= -3 degree Celsius
Q4. A plane is flying at the height of 5000m above the sea level. At a particular point, it is exactly above a submarine floating 1200m below the sea level. What is the vertical distance between them?
Ans Vertical distance between them = Height of plane above the sea + Height of submarine in sea
= 5000m + 1200m
= 6200m
Q5. Mohan deposits rupees 2000 in his bank account and withdraws rupees 1642from it, the next day. If withdrawal of amount from the account is represented by a negative integers, then how will you represent the amount deposited? Find the balance in Mohan's account after the withdrawal.
Ans The amount deposited is represent by positive integer.
Balance in Mohan's account = Amount deposited - Amount withdrawn
= 2000 - 1642
= 358
Q6. Rita goes 20km towards east from a point A to the point B. From B, she moves 30km towards west along the same road. If the distance toward east is represented by a positive integers then, how will you represent the distance travelled towards west? By which integer will you represent her final position from A?
Ans The distance travelled toward east west is represent by negative integer.
Distance travelled from west to A = Distance travelled from A to east - Distance travelled B to west
= 20 km - 30 km
= -10 km
Q7. In a magic square each row, column and diagonals have the same sum. Check which of the following is a magic square?
Ans (i) Sum of row = 5 -1 -4 Sum of row = - 5 -2 +7 Sum of row= 0+3-3
= 5 - 5 = -7 + 7 = 3-3
= 0 = 0 = 0
Sum of Column= 5-5+0 Sum of Column = -1-2+3 Sum of Column = -4+7-3
= 0 = 0 = 0
Sum of Diagonal = 5-2-3 Sum of Diagonal = -4-2+0
= 0 = -6
No, it is not a magic square because one diagonal cannot match.
(ii) Sum of row = 1-10+0 Sum of row = -4-3-2 Sum of row = -6+4-7
= -9 = -9 = -9
sum of Column = 1-4-6 sum of Column = -10-3+4 Sum of Column = 0-2-7
= -9 = -9 = -9
Sum of Diagonal = 1-3-7 Sum of diagonal = 0-3-6
= -9 = -9
Yes, it is a magic square because row, column and diagonals have the same sum.
Q8. Verify a-(-b)= a + b for the following values of a and b.
(i) a =21,b =18
(ii) a =118,b =125
(iii) a =75,b =84
(iv) a =28,b =11
Ans (i) a-(-b) =a + b
= 21-(-18)= 21 + 18
= 39 = 39
(ii) a-(-b) = a + b
= 118-(-125) = 118 + 125
= 243 = 243
(iii) a-(-b) = a + b
=75-(-84)= 75+84
= 159 = 159
(iv) a-(-b) = a + b
= 28-(-11) = 28 + 11
= 39 =39
Q9. use the sign of <,> or = in the box to make the statements true.
(a) (-8) + (-4) < (-8) - (-4)
(b) (-3) + 7 - (19) < 15 - 8 + (-9)
(c) 23 - 41 + 11 > 23 - 41 - 11
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