Find the sum: (a) (-7) + (-9) + 4 + 16 (b) (37) + (-2) + (-65) + (-8)
Solution: (a)(-7) + (-9) + 4 + 16 = (-7) + (-9) + 4 + (+7) + (+9) = (-7)... View Article
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Find the sum of: (a) 137 and – 354 (b) – 52 and 52 (c) – 312, 39 and 192 (d) – 50, – 200 and 300
Solution (a) 137 and -354 On adding the given numbers we get, (137) + (-354) = 137 + (-354) =... View Article
Add without using number line: (a) 11 + (-7) (b) (-13) + (+18) (c) (-10) + (+19) (d) (-250) + (+150) (e) (-380) + (-270) (f) (-217) + (-100)
Solution (a) 11 + (-7) = 4 (b) (-13) + (+18) = 5 (c) (-10) + (+19) = 9 (d)... View Article
Use number line and add the following integers: (a) 9 + (-6) (b) 5 + (-11) (c) (-1) + (-7) (d) (-5) + 10 (e) (-1) + (-2) + (-3) (f) (-2) + 8 + (-4)
Solution (a) Hence,9 + (–6)= 3 (b) Hence, 5 + (–11)=-6 (c) Hence,(–1) + (–7)= -8 (d) Hence,(–5) + 10=... View Article
Using the number line write the integer which is: (a) 3 more than 5 (b) 5 more than -5 (c) 6 less than 2 (d) 3 less than -2
Solution (a) Hence,3 more than 5= 8 (b) Hence, 5 more than –5= 0 (c) Hence,6 less than 2= -4... View Article
Draw a number line and answer the following: (a) Which number will we reach if we move 4 numbers to the right of – 2. (b) Which number will we reach if we move 5 numbers to the left of 1. (c) If we are at – 8 on the number line, in which direction should we move to reach – 13? (d) If we are at – 6 on the number line, in which direction should we move to reach – 1?
Solution (a) When we move 4 numbers to the right of -2, we will reach 2 (b) When we move 5... View Article
For the following statements, write True (T) or False (F). If the statement is false, correct the statement. (a) – 8 is to the right of – 10 on a number line. (b) – 100 is to the right of – 50 on a number line. (c) Smallest negative integer is – 1. (d) – 26 is greater than – 25.
Solution (a)The given statement is True We know that -8 > -10 (b) The given statement is False. -50 is greater... View Article
(a) Write four negative integers greater than – 20. (b) Write four integers less than – 10.
Solution (a) -19, -8, -11, -4 are the negative integers greater then -20 (b) -17, -15, -21, -19 are the integers... View Article
In each of the following pairs, which number is to the right of the other on the number line? (a) 2, 9 (b) – 3, – 8 (c) 0, – 1 (d) – 11, 10 (e) – 6, 6 (f) 1, – 100
Solution (a) 9 lies to the right on the number line because 9 > 2 (b) – 3 lies to the... View Article
Following is the list of temperatures of five places in India on a particular day of the year. Place Temperature Siachin 10°C below 0°C …………….. Shimla 2°C below 0°C …………….. Ahmedabad 30°C above 0°C …………….. Delhi 20°C above 0°C …………….. Srinagar 5°C below 0°C …………….. (a) Write the temperatures of these places in the form of integers in the blank column. (b) Following is the number line representing the temperature in degree Celsius. Plot the name of the city against its temperature. (c) Which is the coolest place? (d) Write the names of the places where temperatures are above 10°C.
Solution: (a) Siachin – 100 C Shimla – 20 C Ahmedabad + 300 C Delhi + 200 C Srinagar – 50 C (b) (c) Siachin... View Article
Adjacent figure is a vertical number line, representing integers. Observe it and locate the following points: (a) If point D is + 8, then which point is – 8? (b) Is point G a negative integer or a positive integer? (c) Write integers for points B and E. (d) Which point marked on this number line has the least value? (e) Arrange all the points in decreasing order of value.
Solution: (a)If point D is +8, then point F is -8 (b) Point G is a negative integer (c) Point... View Article
Represent the following numbers on a number line: (a) + 5 (b) – 10 (c) + 8 (d) – 1 (e) – 6
Solution: (a) Representation of + 5 on the number line is shown below (b) Representation of –10 on the number line is shown... View Article
Represent the following numbers as integers with appropriate signs. (a) An aeroplane is flying at a height two thousand metre above the ground. (b) A submarine is moving at a depth, eight hundred metre below the sea level. (c) A deposit of rupees two hundred. (d) Withdrawal of rupees seven hundred.
Solution: (a) An aeroplane is flying at a height of two thousand metres above the ground: + 2000 m (b) A... View Article
Write opposites of the following: (a) Increase in weight (b) 30 km north (c) 80 m east (d) Loss of Rs 700 (e) 100 m above sea level
Solution: (a)The opposite of increase in weight is: decrease in weight (b) The opposite of 30 km north is: 30... View Article
How many tiles whose length and breadth are 12 cm and 5 cm, respectively will be needed to fit in a rectangular region whose length and breadth are respectively? (a) 100 cm and 144 cm (b) 70 cm and 36 cm
We know that area of rectangle is given by Area of rectangle = length × width (a)Area of rectangle =... View Article
Split the following shapes into rectangles and find their areas. (The measures are given in centimetres)
Solution: (a) Total area of the figure = 12 × 2 + 8 × 2 = 40 cm2 (b) There... View Article
By splitting the following figures into rectangles, find their areas (The measures are given in centimetres).
Solution: (a) Area of yellow region = 3 × 3 = 9 cm2 Area of orange region = 1× 2... View Article
Five square flower beds each of sides 1 m are dug on a piece of land 5 m long and 4 m wide. What is the area of the remaining part of the land?
Given length of piece of land = 5m breadth of piece of land = 4 m Side of flower bed=1m Find... View Article
A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the area of the floor that is not carpeted.
Given length of floor = 4m breadth of floor = b = 3 m 50 cm = 3.50 m Find... View Article
A room is 4 m long and 3 m 50 cm wide. Howe many square metres of carpet is needed to cover the floor of the room?
Given length of carpet = 4m breadth of carpet = b = 3 m 50 cm = 3.50 m Find... View Article
