Math, asked by ojasransingh, 1 month ago

Verify associativity of addition of rational numbers i.e., (x + y) + z = x + (y + z), when:
(i) x = -7/11, y = 2/-5, z = -3/22

Answers

Answered by Anonymous
114

(1/2+2/3) + (-1/5)

(1/2+2/3) + (-1/5)= 7/6 + (-1/5)

(1/2+2/3) + (-1/5)= 7/6 + (-1/5)= 35+ (-6/30) = 29/30

(1/2+2/3) + (-1/5)= 7/6 + (-1/5)= 35+ (-6/30) = 29/30And,

(1/2+2/3) + (-1/5)= 7/6 + (-1/5)= 35+ (-6/30) = 29/30And,1/2 + (2/3 + (-1/5)

(1/2+2/3) + (-1/5)= 7/6 + (-1/5)= 35+ (-6/30) = 29/30And,1/2 + (2/3 + (-1/5)= 1/2 + 7/15

(1/2+2/3) + (-1/5)= 7/6 + (-1/5)= 35+ (-6/30) = 29/30And,1/2 + (2/3 + (-1/5)= 1/2 + 7/15= 15 + 14/30 = 29/30

=> LHS = RHS

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