# RBSE Class 6 Maths Chapter 6 Important Questions Integers

## 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)

15

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.