RBSE Solutions for Class 6 Maths Chapter 6 Integers Ex 6.3

Rajasthan Board RBSE Solutions for Class 6 Maths Chapter 6 Integers Ex 6.3 Textbook Exercise Questions and Answers.

RBSE Class 6 Maths Solutions Chapter 6 Integers Ex 6.3

Question 1.
Find:
(a) 35 - (20)
Answer:
35 - 20 = 35 - (20)
= 35 + (additive inverse of 20)
= 35 + (- 20)
= 15 + 20 + (- 20)
= 15 + 0 = 15

(b) 72 - (90)
Answer:
72 - (90)
= 72 + (additive inverse of 90)
= 72 + (- 90)
= 72 + (- 72) + (- 18)
= 0 + (- 18) = - 18

(c) (-15) - (-18)
Answer:
(- 15) - (- 18)
= (- 15) + (additive inverse of - 18)
= - 15 + (18)
= (-15) + (15) + (3) = 0 + 3 = 3

(d) (- 20) - (13)
Answer:
(- 20) - (13)
= (- 20) + (additive inverse of 13)
= - 20 + (-13) = - 33

(e) 23 - (- 12)
Answer:
23 - (- 12)
= 23 + (additive inverse of - 12)
= 23 + (12) = 35

(- 32) - (- 40)
Answer:
(f) (- 32) - (- 40)
= - 32 + (additive inverse of - 40)
= - 32 + (+ 40)
= - 32 + (32) + 8 = 0 + 8 = 8.

Question 2.
Fill in the blanks with >, < or = sign:
(a) (- 3) + (- 6) __________ (- 3) - (- 6)
Answer:
LHS = (- 3) + (- 6) = - 9
RHS (- 3) - (- 6)
= - 3 + (additive inverse of - 6)
= - 3 + (+ 6) = - 3 + (3) + (3) = 0 + 3 = 3
∴ (- 3) + (- 6) < (- 3) - (- 6)

(b) (- 21) - (-10) __________ (- 31) + (-11)
Answer:
LHS (- 21) - (-10)
= (-21) + (additive inverse of - 10)
= - 21 + (+ 10)
= (- 11) + (- 10) + (+ 10)
= -11 + 0 = - 11
RHS (- 31) + (- 11) = - 42
∴ (- 21) - (- 10) > (- 31) + (- 11)

(c) 45 - (- 11) __________ 57 + (-4)
Answer:
LHS 45 - (- 11)
= 45 + (additive inverse of - 11)
= 45 + (+ 11) = 45 + 11 = 56
RHS 57 + (- 4)
= 53 + (4) + (- 4)
= 53 + 0 = 53
∴ 45 -(-11) > 57 + (- 4)

(d) (- 25) - (- 42) __________ (- 42) - (- 25)
Answer:
LHS (- 25) - (-42)
= (- 25) + (additive inverse of - 42)
= - 25 + (42)
= - 25 + (25) + (17) = 0 + 17 = 17
RHS (- 42) - (- 25)
= (- 42) + (additive inverse of - 25)
= - 42 + (25)
= (- 17) + (- 25) + (25)
= - 17 + 0 = - 17
∴ (- 25) - (- 42) > (- 42) - (- 25)

Question 3.
Fill in the blanks :
(a) (-8) + _________ = 0
Answer:
(- 8) + 8 = 0

(b) 13 + _________ = 0
Answer:
13 + (- 13) = 0

(c) 12 + (- 12) = _________
Answer:
12 + (- 12) = 0

(d) (- 4) + _________ = - 12
Answer:
(- 4) + (- 8) = - 12

(e) _________ - 15 = - 10
Answer:
(+ 5) - 15 = - 10

Question 4.
Find:
(a) (- 7) - 8 - (-25)
Answer:
(- 7) + (- 8) - (- 25)
= (- 15) - (- 25)
= (- 15) + (25)
= (- 15) + (15) + (10)
= 0 + 10 = 10

(b) (- 13) + 32 - 8 - 1
Answer:
(b) (- 13) + 32 - 8 - 1
= (- 13) - 8 - 1 + 32
= (- 22) + 32
= (- 22) + (22) + (10)
= 0 + 10 = 10

(c) (- 7) + (- 8) + (- 90)
Answer:
(- 7) + (- 8) + (- 90)
= - (7 + 8 + 90) = - 105

(d) 50 - (- 40) - (- 2)
Answer:
50 -(-40) -(-2)
= 50 + (additive inverse of - 40) + (additive inverse of - 2)
= 50 + 40 + 2 = 92