verify the following

Asked by shreyathorbole2364.7sdatl | 31st May, 2020, 09:53: PM

Expert Answer:

Verify the following:
(i)  (-14)+9 = 9+(-14)
LHS = (-14)+9 = -14+9 = -5
RHS = 9+(-14) = 9-14 = -5
Hence, (-14)+9 = 9+(-14) is verified.
 
(ii)  (-8)+(-12)=(-12)+(-8)
LHS = (-8)+(-12) = -8-12 = -20
RHS = (-12)+(-8) - 12-8 = -20
Hence, (-8)+(-12)=(-12)+(-8) is verified.
 
(iii)  (-6)+[(-8)+12] = [(-6)+(-8)]+12
LHS = (-6)+[-8+12] = (-6)+4 = -6+4 = -2
RHS = [(-6)+(-8)]+12 = [-6-8]+12 = [-14]+12 = -2
Hence, (-6)+[(-8)+12] = [(-6)+(-8)]+12 is verified.
 
(iv) [(-9)+(-7)]+(-14)=(-9)+[(-7)+(-14)]
LHS = [(-9)+(-7)]+(-14) = [-9-7]+(-14) = [-16]+(-14) = -16-14 = -30
RHS = (-9)+[(-7)+(-14)] = (-9)+[-7-14] = (-9)+(-21) = -9-21 = -30
Hence, [(-9)+(-7)]+(-14)=(-9)+[(-7)+(-14)] is verified.

Answered by Renu Varma | 1st Jun, 2020, 12:06: PM