Question

Verify the property x * (y + z) = x * y + x * z of rational numbers by taking

(i) x= -1/5 , y= 2/15 and z=-3/10​

Answer 1

Answer:

$\frac{ - 47}{75}$

I will tell you how it came.

Step-by-step explanation:

This property is called Distributive Property.

$\frac{ - 1}{5} \times ( \frac{2}{15} + \frac{3}{10} )$

$= (\frac{ - 1}{5} \times \frac{2}{15}) + ( \frac{ - 1}{5} \times \frac{3}{10})$

$= \frac{ - 2}{75} + ( \frac{ - 3}{50} )$

$= \frac{ - 4 - 90}{ 150 } = \frac{ - 94}{150}$

$= \frac{ - 47}{75}$

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