Question

1 . Verify x + ( y + z ) = ( x + y ) + z for x = -1/2;y = 2/5;z = -1/3​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

$x + (y + z) = (x + y) + z \\ = \: \: \: \frac{ - 1}{2} + ( \frac{2}{5} + \frac{ - 1}{3} ) = ( \frac{ - 1}{2} + \frac{2}{5} ) + \frac{ - 1}{3} \\ = \: \: \: \frac{ - 1}{2} + ( \frac{6 + ( - 5)}{15} ) = ( \frac{( - 5 )+ 4}{10} ) + \frac{ - 1}{3} \\ = \: \: \: \frac{ - 1}{2} + ( \frac{6 - 5}{15} ) = ( \frac{ - 5 + 4}{10} ) + \frac{ - 1}{3} \\ = \: \: \: \frac{ - 1}{2} + \frac{1}{15} = \frac{ - 1}{10} + \frac{ - 1}{3} \\ = \: \: \: \frac{ - 15 + 2}{30} = \frac{ - 3 + ( - 10)}{30} \\ = \: \: \: \frac{ - 13}{30} = \frac{ - 3 - 10}{30} \\ = \: \: \: \frac{ - 13}{30} = \frac{ - 13}{30} \\ \\Thus,\\x + (y + z) = (x + y) + z$