Q.1 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
Ans: (a) Decrease in weight
(b) 30 km south
(c) 80 m west (d) Profit of Rs 700
(e) 100 m below sea level
Q.2. 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.
Ans: (a) (+) 2000 m
(b) (–) 800 m
(c) (+) Rs 200
(d) (–) Rs 700
Q.3. Represent the following numbers on a number line:
(a) + 5 (b) – 10 (c) + 8 (d) – 1 (e) – 6
Ans:
Q.4. 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.
Ans: (a) If point D is +8, then point F is -8
(b) Point G is a negative integer
(c) Point B = (+)4 and point E (–) 10
(d) The least value on this number line is point E as it represents – 10
(e) The points in decreasing order of value are D, C, B, A, O, H, G, F, E
Q.5. 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.
Ans:
(a) Siachin (–) 100 C
Shimla (–) 20 C
Ahmedabad (+) 300 C
Delhi (+) 200 C
Srinagar (–) 50 C
(b)
(c) Siachin is the coolest place
(d) Ahmedabad and Delhi are the places where the temperatures are above 100C
Q.6. 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
Ans:
(a) 9 is right to 2 on the number line because 9 > 2.
(b) – 3 is right to -8 on the number line because -3 > – 8.
(c) 0 is right to -1 on the number line because 0 > -1.
(d) 10 is right to -11 on the number line because 10 > -11.
(e) 6 is right to -6 on the number line because 6 > -6.
(f) 1 is right to -100 on the number line because 1 > -100.
Q.7. Write all the integers between the given pairs (write them in the increasing order.)
(a) 0 and – 7 (b) – 4 and 4
(c) – 8 and – 15 (d) – 30 and – 23
Ans: (a) -6, -5, -4, -3, -2, -1 are the integers between 0 and -7
(b) -3, -2, -1, 0, 1, 2, 3 are the integers between -4 and 4
(c) -14, -13, -12, -11, -10, -9 are the integers between -8 and -15
(d) -29, -28, -27, -26, -25, -24 are the integers between -30 and -23
Q.8. (a) Write four negative integers greater than – 20.
(b) Write four integers less than – 10.
Ans: (a) -19, -18, -17, -16 are the integers greater then -20
(b) -11, -12, -13, -14 are the integers less than -10
Q.9. 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.
Ans: (a) True as because -8 > -10
(b) False. Because -50 is greater than -100. Hence, -100 lies to the left of -50 on the number line.
(c) False. -1 is the greater negative integer.
(d) False. -26 is smaller than -25
Q.10. 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?
Ans:
