Ncert Solutions for Class 6 Maths Chapter 6 Integers

ncert class 6 maths
6th maths book
6th standard maths
class 6 maths solutions

ncert solutions for class 6 maths chapter 6 Integers for English Medium CBSE class 6 maths. Here in class 6 maths solutions learn to solve integers problem’s solution and how to solve questions with easiest learning tricks. ncert class 6 maths. ncert solutions for class 6 maths chapter 6 by our experts team solved all questions for students.
NCERT Solutions for Class 6 Math Chapter 6, 6th standard maths chapter 6 are part of NCERT 6th maths book. Here we have given NCERT Solutions for class 6 maths solutions.

Here we solve ncert class 6 maths chapter 6 solutions Integers in English for NCERT and English Medium CBSE class 6 maths┬аconcepts all questions with easy method with expert solutions. It help students in their study, home work and preparing for exam. Soon we provide ncert maths book class 6 chapter 6 solutions Integers question and answers solutions. NCERT Solutions for Class 6th standard maths Chapter 6 Integers┬аin free PDF here.

NCERT SOLUTIONS FOR CLASS 6 MATH CHAPTER 6

Integers

6th standard maths Chapter 6

NCERT Solutions for Class 6 Maths Chapter 6
ncert class 6 maths Chapter 6
Ex . 6.1

1. Write opposites of the following :

(a) Increase in weight
Answer тАУ Decrease in weight

(b) 30 km north
Answer тАУ 30 km south

(c) 326 BC
Answer тАУ 326 A.D.

(d) Loss of Rs 700
Answer тАУ Gain of Rs 700

(e) 100 m above sea level
Answer тАУ Gain of Rs 700

2. Represent the following numbers as integers with appropriate signs.

(a) An aeroplane is flying at a height two thousand metre above the ground.
Answer тАУ + 2000

(b) A submarine is moving at a depth, eight hundred metre below the sea level.
Answer тАУ тАУ 800

(c) A deposit of rupees two hundred.
Answer тАУ + 200

(d) Withdrawal of rupees seven hundred.
Answer тАУ тАУ 700

(e) 100 m above sea level
Answer тАУ + 100

3. Represent the following numbers on a number line :

(a) + 5 (b) тАУ 10 (c) + 8
(d) тАУ 1 (e) тАУ 6 ┬а

Answer тАУ┬а
(a) + 5
NCERT Solutions Class 6 Maths



(b) тАУ 10

NCERT Solutions Class 6 Maths

(c) + 8

NCERT Solutions Class 6 Maths

(d) тАУ 1

NCERT Solutions Class 6 Maths

(e) тАУ 6

NCERT Solutions Class 6 Maths

4. Adjacent figure is a vertical number line, representing integers. Observe it and locate the following points :
Represent the following numbers as integers with appropriate signs.


(a) If point D is + 8, then which point is тАУ 8?
Answer тАУ F

(b) Is point G a negative integer or a positive integer?
Answer тАУ Negative Integer (тАУ 6)

(c) Write integers for points B and E.
Answer тАУ Point B represents 4 and point E represent тАУ 10.

(d) Which point marked on this number line has the least value?
Answer тАУ E has the least value as it represents тАУ 10

(e) Arrange all the points in decreasing order of value.
Answer тАУ D > C > B > A > O > H > G > F > E

5. Following is the list of temperatures of five places in India on a particular day of the year.

Place Temperature ┬а
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.
Answer тАУ

Place Temperature ┬а
Siachin 10┬░C below 0┬░C тАУ 10┬░C
Shimla 2┬░C below 0┬░C тАУ 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.
Ans тАУ┬а

NCERT Solutions for Class 6 Maths Chapter 6

(c) Which is the coolest place?
Answer тАУ Siachin

(d) Write the names of the places where temperatures are above 10┬░C.
Answer тАУ Delhi and Ahmedabad

6. In each of the following pairs, which number is to the right of the other on the number line?

(a) 2, 9 (b) тАУ 3, тАУ 8 (c) 0, тАУ 1
(d) тАУ 11, 10 (e) тАУ 6, 6 (f) 1, тАУ 100

Answer тАУ┬а
(a) 2, 9
Ans тАУ 9 (because 9 is greater than 2)

(b) тАУ 3, тАУ 8
Ans тАУ тАУ 3 (because тАУ 3 is greater than тАУ 8)

(c) 0, тАУ 1
Ans тАУ 0 (because 0 is greater than тАУ 1)

(d) тАУ 11, 10
Ans тАУ 10 (because 10 is greater than тАУ 11)

(e) тАУ 6, 6
Ans тАУ (because 6 is greater than тАУ 6)

(f) 1, тАУ 100
Ans тАУ 1 (because 1 is greater than тАУ 100)

7. Write all the integers between the given pairs (write them in the increasing order.)

(a) 0 and тАУ 7 (b) тАУ 4 and 4
(c) тАУ 8 and тАУ 15 (d) тАУ 30 and тАУ 23

Answer тАУ┬а
(a) 0 and тАУ 7
Ans тАУ тАУ 6, тАУ 5, тАУ 4, тАУ 3, тАУ 2 and тАУ 1

(b) тАУ 4 and 4
Ans тАУ тАУ 3, тАУ 2, тАУ 1, 0, 1, 2 and 3

(c) тАУ 8 and тАУ 15
Ans тАУ тАУ 14, тАУ 13, тАУ 12, тАУ 11, тАУ 10 and тАУ 9

(d) тАУ 30 and тАУ 23
Ans тАУ тАУ 29, тАУ 28, тАУ 27, тАУ 26, тАУ 25, тАУ 24

8. (a) Write four negative integers greater than тАУ 20.
(b) Write four integers less than тАУ 10.
Answer тАУ
(a) four negative integers greater than тАУ 20 are тАУ 19, тАУ 18, тАУ 17, тАУ 16
(b) four integers less than тАУ 10 are тАУ 11, тАУ 12, тАУ 13, тАУ 14

9. For the following statements, write True (T) or False (F). If the statement is false, correct the statement.
(a) тАУ 8 is to the right of тАУ 10 on a number line.
(b) тАУ 100 is to the right of тАУ 50 on a number line.
(c) Smallest negative integer is тАУ 1.
(d) тАУ 26 is greater than тАУ 25.
Answer тАУ┬а
(a) тАУ 8 is to the right of тАУ 10 on a number line.
Ans тАУ T

(b) тАУ 100 is to the right of тАУ 50 on a number line.
Ans тАУ F (because тАУ 100 is to the left of тАУ 50 on number line)

(c) Smallest negative integer is тАУ 1.
Ans тАУ F (because greatest negative integer is тАУ 1)

(d) тАУ 26 is greater than тАУ 25.
Ans тАУ F (because тАУ 26 is smaller than тАУ 25)

10. Draw a number line and answer the following :
(a) Which number will we reach if we move 4 numbers to the right of тАУ 2.
(b) Which number will we reach if we move 5 numbers to the left of 1.
(c) If we are at тАУ 8 on the number line, in which direction should we move to reach тАУ 13?
(d) If we are at тАУ 6 on the number line, in which direction should we move to reach тАУ 1?
Answer тАУ┬а
(a) Which number will we reach if we move 4 numbers to the right of тАУ 2.
Ans тАУ we reach at 2 if we move 4 numbers to the right of тАУ 2.
NCERT Solutions for Class 6 Maths Chapter 6

(b) Which number will we reach if we move 5 numbers to the left of 1.
Ans тАУ we reach at тАУ 4 if we move 5 numbers to the left of 1.
NCERT Solutions for Class 6 Maths Chapter 6

(c) If we are at тАУ 8 on the number line, in which direction should we move to reach тАУ 13?
Ans тАУ we are at тАУ 8 on the number line, in left direction should we move to reach тАУ 13.
NCERT Solutions for Class 6 Maths Chapter 6

(d) If we are at тАУ 6 on the number line, in which direction should we move to reach тАУ 1?
Ans тАУ we are at тАУ 6 on the number line, in right direction should we move to reach тАУ 1.
NCERT Solutions for Class 6 Maths Chapter 6

 

6th standard maths Chapter 6

NCERT Solutions for Class 6 Maths Chapter 6
ncert class 6 maths Chapter 6
Ex . 6.2

1. Using the number line write the integer which is :
(a) 3 more than 5
(b) 5 more than тАУ 5
(c) 6 less than 2
(d) 3 less than тАУ 2
Answer –┬а
(a) 3 more than 5
Sol – 8
NCERT Solutions for Class 6 Maths Chapter 6

(b) 5 more than тАУ 5
Sol – 0
NCERT Solutions for Class 6 Maths Chapter 6

(c) 6 less than 2
Sol – тАУ 4
NCERT Solutions for Class 6 Maths Chapter 6

(d) 3 less than тАУ 2
Sol – тАУ 5
NCERT Solutions for Class 6 Maths Chapter 6

2. Use number line and add the following integers :
(a) 9 + (тАУ 6)
(b) 5 + (тАУ 11)
(c) (тАУ 1) + (тАУ 7)
(d) (тАУ 5) + 10
(e) (тАУ 1) + (тАУ 2) + (тАУ 3)
(f) (тАУ 2) + 8 + (тАУ 4)
Answer –┬а
(a) 9 + (тАУ 6)
Sol – 3
NCERT Solutions for Class 6 Maths Chapter 6

(b) 5 + (тАУ 11)
Sol – тАУ 6
NCERT Solutions for Class 6 Maths Chapter 6

(c) (тАУ 1) + (тАУ 7)
Sol – тАУ 8
NCERT Solutions for Class 6 Maths Chapter 6

(d) (тАУ 5) + 10
Sol – 5
NCERT Solutions for Class 6 Maths Chapter 6

(e) (тАУ 1) + (тАУ 2) + (тАУ 3)
Sol – тАУ 6
NCERT Solutions for Class 6 Maths Chapter 6

(f) (тАУ 2) + 8 + (тАУ 4)
Sol – 2
NCERT Solutions for Class 6 Maths Chapter 6

3. Add without using number line :

(a) 11 + (тАУ 7) (b) (тАУ 13) + (+ 18)
(c) (тАУ 10) + (+ 19) (d) (тАУ 250) + (+ 150)
(e) (тАУ 380) + (тАУ 270) (f) (тАУ 217) + (тАУ 100)

Answer –┬а
(a) 11 + (тАУ 7)
Ans – 11 тАУ 7
= 4

(b) (тАУ 13) + (+ 18)
Ans – тАУ 13 + 18
= 5

(c) (тАУ 10) + (+ 19)
Ans – тАУ 10 + 19
= 9

(d) (тАУ 250) + (+ 150)
Ans – тАУ 250 + 150
= тАУ 100

(e) (тАУ 380) + (тАУ 270)
Ans – тАУ 380 тАУ 270
= тАУ 650

(f) (тАУ 217) + (тАУ 100)
Ans – тАУ 217 тАУ 100
= тАУ 317

4. Find the sum of :

(a) 137 and тАУ 354 (b) тАУ 52 and 52
(c) тАУ 312, 39 and 192 (d) тАУ 50, тАУ 200 and 300

Answer –
(a) 137 and тАУ 354
Sol – 137 + (тАУ 354)
= 137 тАУ 354
= тАУ 217

(b) тАУ 52 and 52
Sol – тАУ 52 + 52
= 0

(c) тАУ 312, 39 and 192
Sol – тАУ 312 + 39 + 192
= тАУ 312 + 231
= тАУ 81

(d) тАУ 50, тАУ 200 and 300
Sol –┬атАУ 50 + (тАУ 200) + 300
= тАУ 50 тАУ 200 + 300
= тАУ 250 + 300
= 50

5. Find the sum :
(a) (тАУ 7) + (тАУ 9) + 4 + 16
(b) (37) + (тАУ 2) + (тАУ 65) + (тАУ 8)
Answer –┬а
(a) (тАУ 7) + (тАУ 9) + 4 + 16
Sol – тАУ 7 тАУ 9 + 4 + 16
= тАУ 16 + 20
= 4

(b) (37) + (тАУ 2) + (тАУ 65) + (тАУ 8)
Ans – 37 тАУ 2 тАУ 65 тАУ 8
= 37 тАУ 75
= тАУ 38

6th standard maths Chapter 6

NCERT Solutions for Class 6 Maths Chapter 6
ncert class 6 maths Chapter 6
Ex . 6.3

1. Find

(a) 35 тАУ (20) (b) 72 тАУ (90)
(c) (тАУ 15) тАУ (тАУ 18) (d) (тАУ 20) тАУ (13)
(e) 23 тАУ (тАУ 12) (f) (тАУ 32) тАУ (тАУ 40)

Answer –
(a) 35 тАУ (20)
Sol – 35 тАУ 20
= 15

(b) 72 тАУ (90)
Ans – 72 тАУ 90
= тАУ 18

(c) (тАУ 15) тАУ (тАУ 18)
Sol – тАУ 15 + 18
= 3

(d) (тАУ 20) тАУ (13)
Sol – тАУ 20 тАУ 13
= тАУ 33

(e) 23 тАУ (тАУ 12)
Sol –┬а23 + 12
= 35

(f) (тАУ 32) тАУ (тАУ 40)
Sol – тАУ 32 + 40
= 8

2. Fill in the blanks with >, < or = sign.
(a) (тИТ 3) + (тАУ 6) ______ (тАУ 3) тАУ (тАУ 6)
(b) (тАУ 21) тАУ (тАУ 10) _____ (тАУ 31) + (тАУ 11)
(c) 45 тАУ (тАУ 11) ______ 57 + (тАУ 4)
(d) (тАУ 25) тАУ (тАУ 42) _____ (тАУ 42) тАУ (тАУ 25)
Answer –┬а
(a) (тИТ 3) + (тАУ 6) ______ (тАУ 3) тАУ (тАУ 6)
Sol – L.H.S тИТ 3 тИТ 6 = тИТ 9
R.H.S тИТ 3 + 6 = 3
So, (тИТ 3) + (тАУ 6) ┬а< ┬а(тАУ 3) тАУ (тАУ 6)

(b) (тАУ 21) тАУ (тАУ 10) _____ (тАУ 31) + (тАУ 11)
Sol – L.H.S тАУ 21 + 10 = тАУ 11
R.H.S тАУ 31 тАУ 11 = тАУ 42
So, (тАУ 21) тАУ (тАУ 10) ┬а>┬а (тАУ 31) + (тАУ 11)

(c) 45 тАУ (тАУ 11) ______ 57 + (тАУ 4)
Sol – L.H.S 45 + 11 = 56
R.H.S 57 тАУ 4 = 53
So, 45 тАУ (тАУ 11) ┬а>┬а 57 + (тАУ 4)

(d) (тАУ 25) тАУ (тАУ 42) _____ (тАУ 42) тАУ (тАУ 25)
Sol – L.H.S тАУ 25 тАУ (тАУ 42) = тАУ 25 + 42 = 17
R.H.S тАУ 42 + 25 = тАУ 17
So, (тАУ 25) тАУ (тАУ 42) ┬а>┬а (тАУ 42) тАУ (тАУ 25)

3. Fill in the blanks.
(a) (тАУ 8) + _____ = 0
(b) 13 + _____ = 0
(c) 12 + (тАУ 12) = ____
(d) (тАУ 4) + ____ = тАУ 12
(e) ____ тАУ 15 = тАУ 10
Answer –┬а
(a) (тАУ 8) + 8 = 0
(b) 13 + тАУ 13 = 0
(c) 12 + (тАУ 12) = 0
(d) (тАУ 4) + тАУ 8 = тАУ 12
(e) 5 тАУ 15 = тАУ 10

4. Find
(a) (тАУ 7) тАУ 8 тАУ (тАУ 25)
(b) (тАУ 13) + 32 тАУ 8 тАУ 1
(c) (тАУ 7) + (тАУ 8) + (тАУ 90)
(d) 50 тАУ (тАУ 40) тАУ (тАУ 2)
Answer –┬а
(a) (тАУ 7) тАУ 8 тАУ (тАУ 25)
Sol – тАУ 7 тАУ 8 + 25
= тАУ 15 + 25
= 10

(b) (тАУ 13) + 32 тАУ 8 тАУ 1
Sol – тАУ 13 + 32 тАУ 8 тАУ 1
= тАУ 22 + 32
= 10

(c) (тАУ 7) + (тАУ 8) + (тАУ 90)
Sol – тАУ 7 тАУ 8 тАУ 90
= тАУ 105

(d) 50 тАУ (тАУ 40) тАУ (тАУ 2)
Sol – 50 + 40 + 2
= 92

Leave a Reply

Your email address will not be published. Required fields are marked *

error: Content is protected !!