ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 3 Integers Ex 3.2
Question 1.
Evaluate the following, using the numbers line
(i) 4 + (-5)
(ii) (-4) + 5
(iii) 7 + (-3)
(iv) -6 + (-2)
Solution:
(i) Start from 4 on the number line.
Move 5 units to the left, we reach at -1 4
∴ + (-5) = 4 – 5 = -1
(ii) Start from -4 on the number line.
Move 5 units to the right, we reach at 1
∴ (-4) + 5 = -4 + 5 = 1
(iii) Start from 7 on the number line.
Move 3 units to the left, we reach at 4
∴ 7 + (-3) = 7 – 3 = 4
(iv) Start from -6 on the number line.
Move 2 units to the left, we reach at -8
⇒ -6 + (-2) = -6 – 2 = -8
Question 2.
Evaluate the following :
(i) (-8) + (-14)
(ii) -35 + (-47)
(iii) 91 + (-48)
(iv) (-203) + 501
(v) (-36) + 29
(vi) (-131) + 97.
Solution:
(i) (-8) + (-14)
= -8 – 14 = -22
(ii) -35 + (-47)
= -35 – 47 = -82
(iii) 91 + (-48)
= 91 – 48 = 43
(iv) (-203) + 501
= -203 + 501 =298
(v) (-36) + 29
= -36 + 29 = -7
(vi) (-131) + 97
= -131 + 97 = -34
Question 3.
Evaluate the following :
(i) -1083 + (-3974)
(ii) 706 + (-394)
(iii) 1309 + (-2811)
Solution:
(i) -1083 + (-3974)
= -1083 – 3974
= -(1083 + 3974) = -5057
(ii) 706 + (-394)
= 706 – 394 = 312
(iii) 1309 + (-2811)
= -2811 + 1309 = -1502
Question 4.
Fill in the following blanks :
(i) -(-5) = ……..
(ii) -(-30) = …….
(iii) -(-539) = ………
Solution:
(i) -(-5) = 5
(ii) -(-30) = 30
(iii) -(-539) = 539
Question 5.
Write down the additive inverses of:
(i) 9
(ii) -11
(iii) -237
(iv) 567
Solution:
(i) Additive inverse of 9 = (-9) = -9
(ii) Additive inverse of -11 = -(-11) = 11
(iii) Additive inverse of -237 = -(-237)
= 237
(iv) Additive inverse of 567 = -(567)
= -567