NCERT Solutions for Class 6 Maths Chapter 6 Integers

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Updated at 2021-02-11


NCERT solutions for class 6 Maths Chapter 6 Integers Exercise 6.1

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



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

(a) Decreasing in weight
(b) 30 km south
(c) 80 m west
(d) profit of Rs. 700
(e) 100 m below the 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.



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

(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



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

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.



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

(a) If point D is +8, then point F is -8
(b) Point G is a negative integer
(c) Point B is 4 and point E is – 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 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.



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

(a)
Siachin – 10°C
Shimla – 2° C
Ahmedabad + 30° C
Delhi + 20° C
Srinagar – 5°C
(b)
(c) Siachin
(d) Ahmedabad and Delhi

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



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

(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.

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



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

(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.

Q.8 (a) Write four negative integers greater than -20.
(b) Write four negative integers less than – 10.



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

(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.



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

(a) True
(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.

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?



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

NCERT solutions for class 6 Maths Chapter 6 Integers Exercise 6.2

Q1. 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



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

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)



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

Q.3 Add without using number line:
(a) 11 + (–7)
(b) (–13) + (+18)
(c) (–10) + (+19)
(d) (–250) + (+150)
(e) (–380) + (–270)
(f) (–217) + (–100)



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

(a) 11 + (-7) = 4
(b) (-13) + (+18) = 5
(c) (-10) + (+19) = 9
(d) (-250) + (+150) = -100
(e) (-380) + (-270) = -650
(f) (-217) + (-100) = -317

Q.4 Find the sum of:
(a) 137 and – 354
(b) – 52 and 52
(c) – 312, 39 and 192
(d) – 50, – 200 and 300



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

(a) 137 and -354
(137) + ( -354) = (137) - 354
= (-217)
(b) -52 and 52
(-52) + (+52) = 0
(c) -312, 39 and 192
(-312) + (+ 39) + (+192) = (-312) + 231 = – 81
(d) – 50, -200 and 300
(-50) + (-200) + (+ 300)
= -250 + 300 = 50

Q.5 Find the sum of:
(a) (- 7) + (-9) + 4 + 16
(b) (37) + (-2) + (-65) + (-18)



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

(a) (-7) + (-9) + 4 + 16
= -16 + 20
= 4
(b) (37) + (-2) + (-65) + (-8)
= 37 - 75
= -38

NCERT solutions for class 6 Maths Chapter 6 Integers Exercise 6.3

Q.1 Find:
(a) 35 – (20)
(b) 72 – (90)
(c) (-15) – (-18)
(d) (- 20) – (13)
(e) 23 – (-12)
(f) (-32) – (-40)



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

(a) 35 – (20)
= 35 - 20 = 15
(b) 72 – 90 = - 18
(c) (- 15) – (- 18) = (-15) + (18) = 3
(d) (- 20) – (13) = (- 20) – (13) = – [20 + 13] = – 33
(e) 23 – (- 12) = 23 + 12 = 35

(f) (- 32) – (- 40) = (- 32) + 40 = 8

Q.2. Fill in the blanks with >, < or = sign.
(a) (–3) + (–6) ______ (–3) – (–6)
(b) (–21) – (–10) _____ (–31) + (–11)
(c) 45 – (– 11) ______ 57 + (– 4)
(d) (–25) – (–42) _____ (– 42) – (–25)



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

(a) (-3) + (-6) = -9
(-3) – (-6) = -3 + 6 = 3
-9 < 3
\Therefore (-3) + (-6) < (-3) – (-6)
(b) -21 – (-10) = -21 + 10 = -11
-31 + (-11) = -42
-11 > -42
\Therefore (-21) – (-10) > (-31) + (-11)
(c) 45 – (-11) = 45 + 11 = 56
57 + (-4) = 57 – 4 = 53
56 > 53
\Therefore 45 – (-11) > 57 + (-4)
(d) (-25) – (-42) = -25 + 42 = 17
-42 – (-25) = -42 + 25 = -17
17 > -17
\Therefore(-25) – (-42) > (-42) – (-25)

Q.3 Fill in the blanks.
(a) (–8) + _____ = 0
(b) 13 + _____ = 0
(c) 12 + (–12) = ____
(d) (–4) + ____ = –12
(e) ____ – 15 = – 10



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

(a) (-8) + 8 = 0
(b) 13 + (-13) = 0
(c) 12 + (-12) = 0
(d) (-4) + (-8) = -12
(e) 5 – 15 = -10

Q.4 Find
(a) (–7) – 8 – (–25)
(b) (–13) + 32 – 8 – 1
(c) (–7) + (–8) + (–90)
(d) 50 – (–40) – (–2)



NCERT Solutions for Class 6 Maths Chapter 6 Integers


Answer :

(a) (-7) – 8 – (-25) = -7 -8 + 25
= -15 + 25
= 10
(b) (-13) + 32 – 8 – 1 = -13 + 32 – 8 – 1
= 32 – 22
= 10
(c) (-7) + (-8) + (-90) = -7 – 8 – 90
= – 105
(d) 50 – (-40) – (-2) = 50 + 40 + 2
= 92



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