Question

verify 9×(4+(-2)=(9×4)+(9×(-2) plz it's by step by step explanation
​

Answer 1

Answer:

The statement is true

Step-by-step explanation:

9 x (4 + (- 2) = (9 x 4) + (9 x (- 2)

First, follow BODMAS rules

9 x (4 + (- 2) = (9 x 4) + (9 x (- 2)

9 x 2 = 36 - 18

18 = 18

Answer 2

$\underline{ \underline{ \Large \pmb{\sf { {Appropriate \: Question :}} }} }$

Verify 9 × {4 +(-2) } = (9 × 4) + { 9 × (-2) }

$\underline{ \underline{ \Large \pmb{\sf { {Required \: Answer :}} }} }$

We have to verify distributive property of rational numbers here. According to the distributive property of the rational numbers, If a,b,c are rational numbers then :

⇒ a ( b + c ) = a(b) + a(c)

Firstly we'll simplify the L.H.S and then we'll simplify the R.H.S.

L.H.S :

$\longrightarrow \sf { 9 × \{ 4 +(-2) \} }$

$\longrightarrow \sf { 9 × (4 - 2) }$

$\longrightarrow \sf { 9 × (2) }$

$\longrightarrow \boxed{\pmb{ \rm \red { 18 }}}$

R.H.S :

$\longrightarrow \sf { (9 × 4) + \{9 × (-2) \} }$

$\longrightarrow \sf { 36 + (-18) }$

$\longrightarrow \sf { 36 -18 }$

$\longrightarrow \boxed{\pmb{ \rm \red { 18 }}}$

In the conclusion we get that,

$\longrightarrow \boxed{\pmb{ \rm \green { L.H.S = R.H.S }}}$

Hence, verified!