Question

6. Simplify:
(ii) (-13- (-17)] + [-22 - (-40)]
(i) [37 - (-8)] + [11-(-30)]
7. Find 34 - (-72) and (-72) - 34. Are they equal?
8. The sum of two integers is -13. If one of the numbers is 170, find the other
9. The sum of two integers is 65. If one of the integers is -47, find the other.
10. Which of the following statements are true and which are false?
(1) The sum of two integers is always an integer.
(ü) The difference of two integers is always an integer.
(iii) -14 >-8-(-7)
(iv) -5 -2>-8
(v) (-7)- 3 = (-3) - (-7)​

Answer 1

Answer:

(i) 15 + (−8) = 7

(ii) (−16) + 9 = −7

(iii) (−7) + (−23) = −30

(iv) (−32) + 47 = 15

(v) 53 + (−26) = 27

(vi) (−48) + (−36) = −84

2..(i) 153 + (−302) = −149

(ii) 1005 + (−277) = 728

(iii) (−2035) + 297 = −1738

(iv) (−489) + (−324) = −813

(v) (−1000) + 438 = −562

(vi) (−238) + 500 = 262

3(i) Additive inverse of −83 = −(−83) = 83

(ii) Additive inverse of 256 = −(256) = −256

(iii) Additive inverse of 0 = −(0) = 0

(iv) Additive inverse of 2001 = −(−2001) = 2001

.4..(i) −42 − 28 = (−42) + (−28) = −70

(ii) 42 −(−36) = 42 + 36 = 78

(iii) -53 - (-37) = (-53) - (-37) = -16

(iv) -34 - (-66) = -34 + 66 = 32

(v) 0 - 318 = -318

(vi) (-240) - (-153) = -87

(vii) 0 - (-64) = 0 + 64 = 64

(viii) 144 - (-56) = 144 + 56 = 200

5..Sum of −1032 and 878 = −1032 + 878

= -154

Subtracting the sum from −34, we get

−34 − (−154)

= (−34)+ 154

= 120