Question

find the value of-2/3+(-4/5+1/2) and (-2/3+-4/5)+1/2compare them what do you observe​

Answer 1

Answer:

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Answer 2

Answer:

$-\frac{2}{3}$ $+ (-\frac{4}{5} + \frac{1}{2} )$ = $(-\frac{2}{3} + \frac{-4}{5} ) + \frac{1}{2}$

We observe a proof of Associative Property of Real Numbers

Step-by-step explanation:

$-\frac{2}{3}$ $+ (-\frac{4}{5} + \frac{1}{2} )$ $= -\frac{2}{3} + (\frac{-8 + 5}{10} ) = -\frac{2}{3} - \frac{3}{10}$$= -\frac{20 + 9}{30} = - \frac{29}{30}$

$(-\frac{2}{3} + \frac{-4}{5} ) + \frac{1}{2}$ $= (-\frac{10 + 12}{15} ) + \frac{1}{2}$  $= -\frac{22}{15} + \frac{1}{2}$  $= \frac{-44 + 15}{30} =-\frac{29}{30}$

∴ $-\frac{2}{3}$ $+ (-\frac{4}{5} + \frac{1}{2} )$ = $(-\frac{2}{3} + \frac{-4}{5} ) + \frac{1}{2}$

We observe a proof of Associative Property of Real Numbers