State whether the statements are True or False.

[(–32) ÷ 8 ] ÷ 2 = –32 ÷ [ 8 ÷ 2]

We will be basically following BODMAS

Take left hand side (LHS) of this equation.

That is, LHS = [(-32) ÷ 8] ÷ 2

⇒ LHS = [-(32 ÷ 8)] ÷ 2 [∵ minus sign can be taken outside the brackets]

⇒ [The following steps are general division]

⇒ LHS = -4 ÷ 2

⇒ LHS = -2 …(i)

Now, take right hand side (RHS) of this equation.

That is, RHS = -32 ÷ [8 ÷ 2]

⇒

⇒ RHS = -32 ÷ 4

⇒ RHS = -8 …(ii)

Comparing equations (i) & (ii), we can say

LHS ≠ RHS

[∵ LHS = -2 & RHS = -8]

Thus, this is a false statement.