RBSE Class 6 Maths Important Questions Chapter 6 Integers

Rajasthan Board RBSE Class 6 Maths Important Questions Chapter 6 Integers Important Questions and Answers.

RBSE Class 6 Maths Chapter 6 Important Questions Integers

Multiple Choice Questions

Question 1. 
2 less than - 3 is :
(a) - 1 
(b) 1
(c) - 5
(d) 5
Answer: 
(c) - 5

Question 2. 
4 more than - 5 is : 
(a) 9
(b) - 9
(c) - 1
(d) None of these
Answer: 
(c) - 1

 

Question 3. 
(- 42) + (- 35) = ? 
(a) - 7
(b) 7
(c) - 77
(d) None of these
Answer: 
(c) - 77

Question 4. 
(- 37) + 6 = ?
(a) - 43 
(b) - 31
(c) 31
(d) 32
Answer: 
(b) - 31

Question 5.
49 + (- 27) = ?
(a) - 73 
(b) - 31 
(c) 22 
(d) 23
Answer: 
(c) 22 

Question 6. 
The successor of - 18 is :
(a) - 19 
(b) 17 
(c) - 17 
(d) 19
Answer: 
(c) - 17 

Question 7. 
The predecessor of-16 is :
(a) - 15 
(b) - 17 
(c) 15 
(d) 17
Answer: 
(b) - 17 

Question 8. 
The additive inverse of - 5 is :
(a) 5 
(b) - 5 
(c) 0 
(d) \(\frac{1}{5}\)
Answer: 
(a) 5 

Fill in the Blanks

Question 1. 
Predecessor of 0 is ______________  
Answer:
- 1

Question 2.   
______________ is neither a positive nor a negative integer.
Answer:
Zero

Question 3. 
The greatest negative integer is ______________ and the smallest positive integer is ______________
Answer:
- 1, 1

Question 4. 
The Siam of predecessor and successor of - 3 is ______________
Answer:
- 6

Question 5. 
45 - (- 1) ______________ 57 + (- 4)
Answer:
<

State whether True or False

Question 1. 
The sum of two negative integers is always a negative integer.
Answer:
True

Question 2. 
The sum of an integer and its negative is zero.
Answer:
True

Question 3. 
The sum of three different integers can never be zero.
Answer:
False

Question 4. 
|8 - 5| = |8| = |- 5|
Answer:
False

Very Short Answer Type Questions 

Question 1. 
What is the successor of - 7 ?
Answer: 
The successor of- 7 = - 7 + 1 = - 6. 

Question 2. 
Write the opposite of 50 km towards north ?
Answer: 
Opposite of 50 km to words north is 50 km towards south.

Question 3. 
What is the additive identity of -6?
Answer: 
Additive identity of - 6 is 6.

Short Answer Type Questions

Question 1. 
Simplify:
(i) (-7) +(-9)+ 12+ (-16)
Answer:
(- 7) + (- 9) + 12 + (- 16)
= 12 - (7 + 9 + 16)
= 12 - 32 = - 20

(ii) 37 + (- 23) + (- 65) + 9 + (-12)
Answer:
37 + (- 23) + (- 65) + 9 + (- 12)
= 37 + 9 - (23 + 65 + 12) = 46 - 100 = - 54

Question 2. 
Write all the integers between the following pair of integers :
(a) 0 and - 4 
Answer:
Integers between 0 and - 4 are : -3,-2,-1

(b) - 5 and 5
Answer:
Integers between - 5 and 5 are: - 4, - 3, -2,-1,0,1,2,3,4

(c) - 8 and - 13 
Answer:
Integers between - 8 and -13 are: - 12, -11,-10,-9

(d) 3 and 6 
Answer:
Integers between 3 and 6 are : 4 and 5.

Long Answer Type Questions

Question 1. 
A car travelled 60 km to the north of Patna and then 90 km to the south from there. How far from Patna was the car finally?
Answer:
Let the distance covered in the direction of north be positive and that in the direction of south be negative.
Distance travelled to the north of Patna = 60 km
Distance travelled to the south of Patna = - 90 km
Total distance travelled by the car . = 60 + (-90) = -30 km 
Thus, the car was 30 km south of Patna.

Question 2. 
A man bought some pencils for ₹ 30 and some pens for ₹ 90. The next day, he again bought some pencils for ₹ 25. Then he sold all the pencils for ₹ 20 and the pens for ₹ 70. What was his net gain or loss?
Answer:
Total cost price
= Price of pencils + Price of pens 
= 30 + 90 + 25 = ₹ 145 
Total selling price 
= Price of pens + Price of pencils 
= 70 + 20 = ₹ 90 
Selling price - Cost price = 90 - 145 = ₹ - 55 
The negative sign implies loss.
Hence, his net loss was ₹ 55.