NCERT Solutions Class 6th Maths Chapter – 6 Integers Exercise – 6.1

Question 1. Write opposites of the following-

(a) Increase in weight

Solution –

Decrease in weight

(b) 30 km North

Solution –

30 km South

(c) 80 m east

Solution –

80 m west

(d) Loss of Rs 700

Solution –

Gain of Rs 700

(e) 100 m above sea level.

Solution –

100 m below sea level.

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

(a) An aeroplane is flying at a height of two thousand metres above the ground.

Solution –

+ 2000 m

(b) A submarine is moving at a depth, of eight hundred metres below the sea level.

Solution –

– 800 m

(c) A deposit of rupees two hundred.

Solution – 

+ Rs 200

(d) Withdrawal of rupees seven hundred.

Solution – 

– Rs 700

Question 3. Represent the following numbers on a number line: 

(a) + 5
Solution –

(b) -10
Solution – 

(c) + 8
Solution – 

(d) – 1
Solution – 

(e) – 6
Solution – 

Question 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?

Solution – 

If point D is +8, then point F is -8

(b) Is point G a negative integer or a positive integer?

Solution – 

Point G is a negative integer

(c) Write integers for points B and E.

Solution – 

Point B is 4 and point E is – 10

(d) Which point marked on this number line has the least value?

Solution – 

The least value on this number line is point E as it represents – 10

(e) Arrange all the points in decreasing order of value.

Solution –

The points in decreasing order of value are D, C, B, A, O, H, G, F, E.

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

(a) Write the temperatures of these places in the form of integers in the blank column.

Solution –

(b) Following is the number line representing the temperature in degrees Celsius.

Solution – 

(c) Which is the coolest place?

Solution –

Siachin is the coolest place with a -10°C temperature.

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

Solution –

(i) Delhi → 20°C
(ii) Ahmedabad → 30°C

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

(a) 2, 9

Solution – 

9 lies to the right on the number line (9 > 2)

(b) – 3, – 8

Solution – 

– 3 lies to the right on the number line (- 3 > – 8)

(c) 0, – 1

Solution – 

0 lies to the right on the number line (0 > – 1)

(d) – 11, 10

Solution –

10 lies to the right on the number line (10 > – 11)

(e) – 6, 6

Solution – 

6 lies to the right on the number line (6 > – 6)

(f) 1, – 100

Solution –

1 lies to the right on the number line (1 > – 100)

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

(a) 0 and – 7

Solution –

-6, -5, -4, -3, -2, -1 are the integers between 0 and -7

(b) – 4 and 4

Solution –

-3, -2, -1, 0, 1, 2, 3 are the integers between -4 and 4

(c) -8 and – 15

Solution –

-14, -13, -12, -11, -10, -9 are the integers between -8 and -15

(d) – 30 and – 23

Solution –

-29, -28, -27, -26, -25, -24 are the integers between -30 and -23

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

Solution –

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

(b) Write four negative integers less than – 10

Solution –

Four negative integers less than –10 are –11, –12, –13, and –14.

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.

Solution – 

True as (- 8 > – 10)

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

Solution – 

False. (-50 is greater than -100). Hence, – 100 lies to the left of – 50 on the number line

(c) Smallest negative integer is –1

Solution –

False. – 1 is the greater negative integer.

(d) –26 is greater than –25.

Solution – 

False. – 26 is smaller than – 25

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.

Solution –

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

Solution –

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

Solution –

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

Solution –