Question

verify commutative property of addition of rational number if x = -2/3 and y = -5/6​

Answer 1

Answer:

Step-by-step explanation:

Commutative property: x +y = y + x

x + y= $\dfrac{-2}{3}+\dfrac{-5}{6}$

LCM of 3 and 6 is 6

        $=\dfrac{-2*2}{3*2} + \dfrac{-5}{6}\\\\=\dfrac{-4}{6}+\dfrac{-5}{6}\\\\=\dfrac{(-4)+(-5)}{6}\\\\=\dfrac{-9}{6}$

y + x = $\dfrac{-5}{6}+\dfrac{-2}{3}$

        $= \dfrac{-5}{6}+\dfrac{-2*2}{3*2}\\\\=\dfrac{-5}{6}+\dfrac{-4}{6}\\\\=\dfrac{-9}{6}$

x + y = y +x

Commutative property of addition of rational number is verified.