# Verify the associative property of addition for the following sets of ratational numbers. a) 2/9,-1/3,-3/5?

Answers (1)

We know that associate property

$(a + b) + c = a + (b+c) \\$

then the number

$\frac{2}{9}, \frac{-1}{3}, and \frac{-3}{5} \\$ check associate property hold or not

$(\frac{2}{9} + \frac{-1}{3}) + \frac{-3}{5} = \frac{2}{9} + (\frac{-1}{3} + \frac{-3}{5}) \\ \frac{2-3}{9} -\frac{3}{5} = \frac{2}{9} -\frac{14}{15}\\ \frac{-1}{9} - \frac{3}{5} = \frac{10 - 42}{45}\\ \frac{-5 -27}{ 45} = \frac{-32}{45} \\ \frac{-32}{45} = \frac{-32}{45}\\$

Hence, it satisfied  associates property of addition

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