Question

find the value of 2/3*9/10+2/3*-4/10-1/3 using distributive property

Answer 1

SOLUTION

TO EVALUATE

Using Distributive Property

$\displaystyle \sf{ \frac{2}{3} \times \frac{9}{10} + \frac{2}{3} \times \frac{ - 4}{10} - \frac{1}{3} }$

FORMULA TO BE IMPLEMENTED

Distributive Property :

For given three Real Numbers a , b , c

$\sf{a \times (b + c) = (a \times b) + (a \times c)}$

EVALUATION

$\displaystyle \sf{ \frac{2}{3} \times \frac{9}{10} + \frac{2}{3} \times \frac{ - 4}{10} - \frac{1}{3} }$

$\displaystyle \sf{ = \bigg( \frac{2}{3} \times \frac{9}{10} + \frac{2}{3} \times \frac{ - 4}{10} \bigg) - \frac{1}{3} }$

$\displaystyle \sf{ = \frac{2}{3} \times \bigg( \frac{9}{10} - \frac{ 4}{10} \bigg) - \frac{1}{3} }$

$\displaystyle \sf{ = \frac{2}{3} \times \bigg( \frac{9 - 4}{10} \bigg) - \frac{1}{3} }$

$\displaystyle \sf{ = \bigg( \frac{2}{3} \times \frac{ 5}{10} \bigg) - \frac{1}{3} }$

$\displaystyle \sf{ = \bigg( \frac{2}{3} \times \frac{ 1}{2} \bigg) - \frac{1}{3} }$

$\displaystyle \sf{ = \frac{1}{3} - \frac{1}{3} }$

$= 0$

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Answer 2

Answer:

1/3 -1/3 =0

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