Question

if p= -8/27, q= 3/4 and r= -12/15 then verify p×(q*r)=(p×q)×r

Answer 1

Answer:

In the verification we should use "BODMAS" rule

BO = open bracket

D = division

M = multiplication

A = addition

S = subtraction

Note that ( * ) same meaning in math as ( × )

Then

p × (q × r ) = (p ×  q) × r

$\frac{-8}{ 27}$ × ( $\frac{3}{4}$ × $\frac{-12}{15}$ ) = ( $\frac{-8}{27}$ × $\frac{3}{4}$ ) × $\frac{-12}{15}$

$\frac{-8}{27}$ × $\frac{-3}{5}$ = $\frac{-2}{9}$ × $\frac{-12}{15}$

8/45 = 8/45

        Hence verified