Question

If p=-8/27,q=3/4 and r=-12/15, then verify that:

a) p× (q×r) = (p×q) ×r

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Answer 1

Answer:

THIS PROPERTY IS CALLED ASSOCIATIVE PROPERTY

LHS

= p× (q×r)

= - 8/27 × ( 3/4 × - 12/15)

= - 8/27 × - 3/5

= 8/45

RHS

= (p×q) ×r

= ( - 8/27 × 3/4 ) × - 12/15

= - 2/9 × - 12/15

= 8/45

Hence LHS = RHS

Hence Verified

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Answer 2

Step-by-step explanation:

This property or law is Associative property..

$\huge\star\mathfrak\red{Given}$

p= -8/27

q= 3/4

r= -12/15

$\huge\fcolorbox{red}{white}{To solve}$

a) p×(q×r)=(p×q)×r

To VERIFY

$\huge\fcolorbox{blue}{green}{solution}$

$\frac{ - 8}{27} \times ( \frac{3}{4} \times - \frac{12}{15} ) = ( \frac{ - 8}{27} \times \frac{3}{4} ) \times \frac{ - 12}{15} \\ \frac{ - 8}{27} \times \frac{ - 3}{5} = \frac{ - 2}{9} \times \frac{ - 12}{15} \\ \frac{ 8}{45} = \frac{8}{45}$

Hence,

LHS = RHS

Hence, VERIFY

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