Math, asked by azazakhtar123, 1 year ago

Verify associative property of addition of rational number ie (a+b) +c=(a+b) +cwhen a=1/2,b=2/3and c=-1/5

Answers

Answered by PriyatoshBiswas
2

Answer:

  • (a+b)+c=a+(b+c)
  • (a+b)+c=a+(b+c)(1/2+2/3)+1/5=1/2+(2/3+1/5)
  • (a+b)+c=a+(b+c)(1/2+2/3)+1/5=1/2+(2/3+1/5)(3+4/6)+1/5=1/2+(10+3/15)
  • (a+b)+c=a+(b+c)(1/2+2/3)+1/5=1/2+(2/3+1/5)(3+4/6)+1/5=1/2+(10+3/15)7/6+1/5=1/2+13/15
  • (a+b)+c=a+(b+c)(1/2+2/3)+1/5=1/2+(2/3+1/5)(3+4/6)+1/5=1/2+(10+3/15)7/6+1/5=1/2+13/1535+6/30=15+26/30
  • (a+b)+c=a+(b+c)(1/2+2/3)+1/5=1/2+(2/3+1/5)(3+4/6)+1/5=1/2+(10+3/15)7/6+1/5=1/2+13/1535+6/30=15+26/3041/30=41/30
  • (a+b)+c=a+(b+c)(1/2+2/3)+1/5=1/2+(2/3+1/5)(3+4/6)+1/5=1/2+(10+3/15)7/6+1/5=1/2+13/1535+6/30=15+26/3041/30=41/30Therefore,LHS =RHS
  • (a+b)+c=a+(b+c)(1/2+2/3)+1/5=1/2+(2/3+1/5)(3+4/6)+1/5=1/2+(10+3/15)7/6+1/5=1/2+13/1535+6/30=15+26/3041/30=41/30Therefore,LHS =RHS(Verified)
Similar questions