Question

Verify that (-9/5× -10/3) × -21/4 = -9/5×(-10/3× -21/4)​

Answer 1

Answer:

(a*b) c=a(b*c)

Step-by-step explanation:

(a*b) c=a(b*c)

Answer 2

Answer:

Solution :-

$\longrightarrow\bigg(\dfrac{- 9}{5} \times \dfrac{- 10}{3}\bigg) \times \dfrac{- 21}{4} = \dfrac{- 9}{5} \times \bigg(\dfrac{- 10}{3} \times \dfrac{- 21}{4}\bigg)$

$L.H.S\Rightarrow$ $\bigg(\dfrac{- 9}{5} \times \dfrac{- 10}{3}\bigg) \times \dfrac{- 21}{4}$

$\Rightarrow$ $\dfrac{90}{15} \times \dfrac{- 21}{4}$

$\Rightarrow$ $\cancel{\dfrac{- 1890}{60}}$

$\Rightarrow$ $\dfrac{- 63}{2}$

$\Rightarrow$ $- 31.5$

$R.H.S\Rightarrow$ $\dfrac{- 9}{5} \times \bigg(\dfrac{- 10}{3} \times \dfrac{- 21}{4}\bigg)$

$\Rightarrow$ $\dfrac{- 9}{5} \times \dfrac{210}{12}$

$\Rightarrow$ $\cancel{\dfrac{- 1890}{60}}$

$\Rightarrow$ $\dfrac{- 63}{2}$

$\Rightarrow$ $- 31.5$

$\therefore$ $L.H.S\: = R.H.S\: (verified)$