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.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.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 :

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.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)

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

There are total 19 questions present in ncert solutions for class 6 maths chapter 6 integers

There are total 0 long question/answers in ncert solutions for class 6 maths chapter 6 integers

There are total 3 exercise present in ncert solutions for class 6 maths chapter 6 integers