Well-designed AP 6th Class Maths Textbook Solutions Chapter 6 Integers Exercise 6.1 offers step-by-step explanations to help students understand problem-solving strategies.
Integers Class 6 Exercise 6.1 Solutions – 6th Class Maths 6.1 Exercise Solutions
Question 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
Solution:
a) Decrease in weight
b) 30 km south
c) 80 m west
d) Gain of ₹ 700
e) 100 m below sea level.
Question 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.
Solution:
a) +2000 m
b) -800 m
c) +₹ 200
d) – ₹ 700
Question 3.
Represent the following numbers on a number line:
a) +5
b) -10
c) +8
d) -1
e) -6
Solution:
Question 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.
Solution:
a) F
b) Negative integer
c) B = +4, E = -10
d) E
e) D, C, B, A, H, G, F, E.
Question 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.
Solution:
Place | Temperature | |
Siachin | 10°C below 0°C | -10°C |
Shimla | 2°C below 0°C | -2°C |
Ahmedabad | 30°C above 0°C | +30°C |
Delhi | 20°C above 0°C | +20°C |
Srinagar | 5°C below 0°C | -5°C |
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 ?
Solution:
Siachin is the coolest place.
d) Write the names of the places where temperatures are above 10°C.
Solution:
Delhi and Ahmeddabad.
Question 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
Solution:
a) 9
b) -3
c) 0
d) 10
e) 6
f) 1
Question 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
Solution:
a) -6,-5,-4,-3,-2,-1
b) -3,-2,-1,0,1,2,3
c) -14,-13,-12,-11,-10,-9
d) -29,-28,-27,-26,-25,-24
Question 8.
a) Write four negative integers greater than – 20.
b) Write four integers less than – 10.
Solution:
a) -19,-18,-17,-16
b) -11,-12,-13,-14
Question 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.
Solution:
a) T
b) F. Correction : -100 is to the left of -50 on a number line.
c) F. Correction : Greatest negative integer is -1.
d) F. Correction : -26 is smaller than -25.
Question 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 ?
Solution: