NCERT Solutions for Class 6 Maths Chapter 6 Integers Exercise 6.1

 Here I will be providing you the solution of all the of class 6 Maths NCERT Chapter 6 Integers Exercise 6.1 for CBSE as well as other state boards like Gujarat Board. Class 6 Maths Exercise 6.1 covers all the questions related to basic understanding of integers.

NCERT Solutions for Class 6 Maths Chapter 6 Integers Exercise 6.1

1. Write opposites of the following :
(a) Increase in weight
Ans: Decrease in weight
(b) 30 km north
Ans: 30 km south
(c) 80 m east
Ans: 80 m west
(d) Loss of Rs 700
Ans: Gain of Rs700
(e) 100 m above sea level
Ans: 100 m below sea level
2. Represent the following numbers as integers with appropriate signs.
(a) An aeroplane is flying at a height two thousand metre above the ground.
Ans: + 2000
(b) A submarine is moving at a depth, eight hundred metre below the sea level.
Ans: – 800
(c) A deposit of rupees two hundred.
Ans: + 200
(d) Withdrawal of rupees seven hundred.
Ans: – 700
3. Represent the following numbers on a number line :
(a) + 5
Ans: 

(b) – 10
Ans: 

(c) + 8
Ans: 

(d) – 1
Ans: 

(e) – 6
Ans: 

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?
Ans: F
(b) Is point G a negative integer or a positive integer?
Ans: Negative integer
(c) Write integers for points B and E.
Ans: B → + 4
E → – 10
(d) Which point marked on this number line has the least value?
Ans: E
(e) Arrange all the points in decreasing order of value.
Ans: 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
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.
Ans:

Place	Temperature	In the form of integers
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.

Ans: 

(c) Which is the coolest place?

Ans: Siachin is the coolest place

(d) Write the names of the places where temperatures are above 10°C.

Ans: Ahmedabad and Delhi are the names of the places where temperatures are above 10°C.

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

(a) 2, 9

Ans: 9 is to the right of  2 on the number line.

(Because 9 is greater than 2. And greater numbers are on right of smaller number on a number line)

(Note: Don’t write the things written in the bracket with green colour. They are written only for you to understand)

(b) – 3, – 8

Ans: – 3 is to the right of – 8 on the number line.

 (Because – 3 is greater than – 8)

(c) 0, – 1

Ans: 0 is to the right of – 1 on the number line.

(Because 0 is greater than every negative integer)

(d) – 11, 10

Ans: 10 is to the right of – 11 on the number line.

(Because every positive integer is greater than every negative integer)

(e) – 6, 6

Ans: 6 is to the right of – 6 on the number line.

(f) 1, – 100

Ans: 1 is to the right of – 100 on the number line.

 

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

(a) 0 and – 7

Ans: – 6, – 5, – 4, – 3, – 2, – 1

(b) – 4 and 4

Ans: – 3,– 2, – 1, 0, 1, 2, 3

(c) – 8 and – 15

Ans: – 14, – 13, – 12, – 11, – 10, – 9

(d) – 30 and – 23

Ans: – 29, – 28, – 27, – 26, – 25, – 24

 

8. (a) Write four negative integers greater than – 20.

Ans: Four negative integers greater than – 20 are – 19, – 18, – 17, – 16

(b) Write four negative integers less than – 10.

Ans: Four negative integers less than – 10 are – 11, – 12, – 13, – 14

 

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.

Ans: T

(b) – 100 is to the right of – 50 on a number line.

Ans: F

Correct Statement: – 100 is to the left of – 50 on number line

(c) Smallest negative integer is – 1.

Ans: F

Correct Statement: Greatest negative integer is – 1

(d) – 26 is greater than – 25.

Ans: F

Correct Statement: – 26 is smaller than – 25

 

10. Draw a number line and answer the following :

Ans: 

(a) Which number will we reach if we move 4 numbers to the right of – 2.

Ans: If we move 4 numbers to the right of – 2 we will reach 2

(b) Which number will we reach if we move 5 numbers to the left of 1.

Ans: If we move 5 numbers to the left of 1 we will reach – 4

(c) If we are at – 8 on the number line, in which direction should we move to reach – 13?

Ans: If we are at – 8 on the number line, to reach – 13 we should move to the left.

(d) If we are at – 6 on the number line, in which direction should we move to reach – 1?

Ans: If we are at – 6 on the number line, to reach – 1 we should move to the right.