Question

X=3/5,Y=- 6/9,z=2/10, verify X + (Y + Z)
(X + Y) + Z

Answer 1

Step-by-step explanation:

To Prove

$x + (y + z) = (x + y) + z$

$x = \frac{3}{5} \: y = \frac{ - 6}{9} = \frac{ - 2}{3} \: z = \frac{2}{10} = \frac{1}{5}$

$x + (y + z) = \frac{3}{5} + ( \frac{ -2 }{3} + \frac{1}{5} )$

$\frac{3}{5} - \frac{7}{15}$

$\frac{2}{15}$

$(x + y) + z = (\frac{3}{5} + \frac{ - 2}{3} ) + \frac{1}{5}$

$\frac{ - 1}{15} + \frac{1}{5}$

$\frac{2}{15}$

Hence x+(y+z)=(x+y)+z proved

Notes Association property always true