6th Maths : Term 3 Unit 2 : Integers : Exercise 2.2 : Miscellaneous Practice Problems, Challenge Problems, Text Book Back Exercises Questions with Answers, Solution

**Exercise 2.2**

__Miscellaneous Practice Problems__

** **

**1.
Write two different real life situations that represent the integer −3.**

**Answer: **

i) a sapling planted at a depth of 3m.

ii) a pit which is 3m deep.

** **

**2.
Mark the following numbers on a number line**

**i)
All integers which are greater than −7 but less than 7.**

**ii)
The opposite of 3.**

**iii)
5 units to the left of −1.**

**Answer: **

** **

**3.
Construct a number line that shows the depth of 10 feet from the ground level and
its opposite.**

The depth of 10 feet from the ground level

The opposite of the depth of 10 feet

** **

**4.
Identify the integers and mark on the number line that are at a distance of 8 units
from −6.**

**Answer: **

At a distance of 8 units
from − 6

** **

**5.
Answer the following questions from the number line given below .**

**i)
Which integer is greater : G or K ? Why ?**

G is left of K. So integer
K is greater.

**ii)
Find the integer that represents C.**

−4

**iii)
How many integers are there between G and H?**

6 that is (−2, −1, 0, 1, 2,
3)

**iv)
Find the pairs of letters which are opposite of a number.**

2 pairs they are (C, H) (E,
J)

**v)
Say True or False : 6 units to the left of D is −6.**

False. 6 units to the left
of D is 0

** **

**6.
If G is 3 and C is −1, what numbers are A and K on the number line?**

−3, 7

** **

**7.
Find the integers that are 4 units to the left 0 and 2 units to the right of −3.**

4 units to the left 0 is −4

2 units to the right of −3 is −1

** **

__Challenge Problems__

** **

**8.
Is there the smallest and the largest number in the set of integers? Give reason.**

No, as the number line number extends on both sides without any
end, we cannot find the smallest (−) and the largest (+) number.

** **

**9.
Look at the Celsius Thermometer and answer the following questions:**

**i)
What is the temperature that is shown in the Thermometer?**

−10°C

**ii)
Where will you mark the temperature 5° C below 0° C in the Thermometer?**

At − 5°C

**iii)
What will be the temperature, if 10° C is reduced from the temperature shown in
the Thermometer?**

− 20°C

**iv)
Mark the opposite of 15° C in the Thermometer.**

−15°C

** **

**10.
P, Q, R and S are four different integers on a number line. From the following clues,
find these integers and write them in ascending order.**

**i)
S is the least of the given integers.**

**ii)
R is the smallest positive integer.**

**iii)
The integers P and S are at the same distance from 0.**

**iv)
Q is 2 units to the left of integer R.**

The ascending order is S <
Q < O < R < P.

** **

**11.
Assuming that the home to be the starting point, mark the following places in order
on the number line as per instructions given below and write their corresponding
integers.**

__Places:__** Home, School,
Library, Playground, Park, Departmental Store, Bus Stand, Railway Station, Post
Office, Electricity Board.**

__Instructions:__

**i)
Bus Stand is 3 units to the right of Home.**

**ii)
Library is 2 units to the left of Home.**

**iii)
Departmental Store is 6 units to the left of Home.**

**iv)
Post Office is 1 unit to the right of the Library.**

**v)
Park is 1 unit right of Departmental Store.**

**vi)
Railway Station is 3 units left of Post Office.**

**vii)
Bus Stand is 8 units to the right of Railway Station.**

**viii)
School is next to the right of Bus Stand.**

**ix)
Playground and Library are opposite to each other.**

**x)
Electricity Board and Departmental Store are at equal distance from Home.**

**Answer:**

i) Bus stand 3

ii) Library – 2

iii) Departmental store −6

iv) Post office – 1

v) Park – 5

vi) Railway Station – 4

vii) Bus stand 3

viii) School 4

ix) Play ground 2

x) Electricity Board 6

** **

**12.
Complete the table using the following hints: **

**C1:
the first non-negative integer.**

**C3:
the opposite to the second negative integer.**

**C5:
the additive identity in whole numbers.**

**C6:
the successor of the integer in C2.**

**C8:
the predecessor of the integer in C7.**

**C9:
the opposite to the integer in C5.**

** **

**13.
The following bar graph shows the profit (+) and loss (−) of a small scale company
(in crores) between the years 2011 to 2017.**

**i)
Write the integer that represents a profit or a loss for the company in 2014?**

**Answer:****+45**

**ii)
Denote by an integer on the profit or loss in 2016.**

**Answer:****0**

**iii)
Denote by integers on the loss for the company in 2011 and 2012.**

**Answer:****−10 and −20**

**iv)
Say True or False: The loss is minimum in 2012.**

**Answer: False**

**v)
Fill in: The amount of loss in 2011 is **__equal__** as profit in 2013.**

**Answer: ****equal**

** **

__ANSWERS:__

__Exercise 2.2 __

**1. i) a sapling
planted at a depth of 3m ii) a pit
which is 3m deep **

**2. **

**4. **

**5. i) K (–1) ii) −4
iii) 6 (−2, −1, 0, 1, 2, 3) iv) 2 pairs v) False, 0 **

**6. −3, 7 **

**7. −4, −1 **

**8. No, as the number
line number extends on both sides without any end, we cannot find the smallest
(−) and the largest (+) number**

**9. i) – 10°C ii) At
−5°C iii)−20°C iv) −15°C**

**10.
S<Q<0<R<P**

**11. i) 3 ii) −2 iii)
−6 iv) −1 v) −5 vi) −4 vii) 4 viii) 4
ix) 5 x)2**

**12. C1: 0, C3: 2, C5:
0, C6: -4, C8: -8, C9: 0**

**13. i) + 45 ii) 0 iii)
−10 & − 20 iv) False v) the same**

Tags : Questions with Answers, Solution | Integers | Term 3 Chapter 2 | 6th Maths , 6th Maths : Term 3 Unit 2 : Integers

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6th Maths : Term 3 Unit 2 : Integers : Exercise 2.2 | Questions with Answers, Solution | Integers | Term 3 Chapter 2 | 6th Maths

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