- NCERT Solutions for Class 6 Maths Chapter 6 Integers Ex 6.1
- NCERT Solutions for Class 6 Maths Chapter 6 Integers Ex 6.2
- NCERT Solutions for Class 6 Maths Chapter 6 Integers Ex 6.3
NCERT Solutions for Class 6 Maths Chapter 6 Integers Ex 6.1 (Rationalised Contents)
Ex 6.1 Class 6 Maths Question 1.
Write opposites of the following:(a) Increase in weight
(b) 30 km North
(c) 80 m East
(d) Loss of ₹ 700
(e) 100 m above sea level
Solution:
(a) Decrease in weight
(b) 30 km South
(c) 80 m West
(d) Profit of ₹ 700
(e) 100 m below sea level
Ex 6.1 Class 6 Maths 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
Ex 6.1 Class 6 Maths Question 3.
Represent the following numbers on a number line:(a) +5
(b) -10
(c) +8
(d) -1
(e) -6
Solution:
Ex 6.1 Class 6 Maths Question 4.
Following 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 represents -8.
(b) G is a negative integer.
(c) B represents +4 and E represents –10.
(d) E has the least value of -10.
(e) Decreasing order of all the points are: D,
C, B, A, O, H, G, F and E.
Ex 6.1 Class 6 Maths Question 5.
Following is the list of temperatures of five places in India on a particular day of the year.
(b) Following is the number line representing the temperature in degree Celsius.
(c) Which is the coolest place?
(d) Write the names of the places where temperatures are above 10°C.
Solution:
(d) (i) Delhi → 20°C
(ii) Ahmedabad → 30°C
Ex 6.1 Class 6 Maths 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 is to the right of 2.
(b) -3 is to the right of -8.
(c) 0 is to the right of –1.
(d) 10 is to the right of -11.
(e) 6 is to the right of -6.
(f) 1 is to the right of -100.
Ex 6.1 Class 6 Maths 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) Integers between 0 and -7 are:
-6, -5, -4, -3, -2, - 1
(b) Integers between -4 and 4 are:
-3, -2, -1, 0, 1, 2, 3
(c) Integers between -8 and -15 are:
-14, -13, -12, -11, -10, -9
(d) Integers between -30 and -23 are:
-29, -28, -27, -26, -25, -24
Ex 6.1 Class 6 Maths Question 8.
(a) Write four negative integers greater than –20.(b) Write four negative integers less than –10.
Solution:
(a) Four negative integers greater than –20 are:
–19, –18, –17, –16.
(b) Four negative integers less than –10 are: –11, –12, –13, –14.
Ex 6.1 Class 6 Maths 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) True (T)
(b) False (F); Correction: –100 is to the left of –50 on a number line.
(c) False (F); Correction: There is no smallest negative integer.
(d) False (F); Correction: –26 is smaller than –25.
Ex 6.1 Class 6 Maths 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:
