Question

verify the property x × ( y + z) = x × y + x × z of rational number where x = -2/, y= -4/6​ and z = -7/9​

Answer 1

Answer:-

In the question is given to verify the property

x × ( y + z) = x × y + x × z

Where, x = -2, y = -4/6 and z = -7/9

Then,

$\tt (-2)×[( \frac{ - 4}{6} )+( \frac{ - 7}{9} )]= (-2) ×( \frac{ - 4}{} ) +(-2) ×( \frac{ - 7}{9} )$

$\tt LHS = (-2)×[( \frac{ - 4}{6} )+( \frac{ - 7}{9} )]$

$\tt \implies ( - 2) \times [ \frac{ (- 12 )+ ( - 14)}{18} ]$

$\tt \implies ( - 2) \times \frac{ - 26}{18}$

$\tt \implies \frac{ 26}{9}$

$\tt RHS =(-2) ×( \frac{ - 4}{6} ) +(-2) ×( \frac{ - 7}{9} )$

$\tt \implies \frac{4}{3} + \frac{14}{9}$

$\tt \implies \frac{12 + 14}{9}$

$\tt \implies \frac{26}{9}$

• By comparing LHS and RHS

LHS = RHS

$\tt ∴ \frac{26}{9} = \frac{26}{9}$

Hence x × ( y + z) = x × y + x × z

Answer 2

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