State whether the statements are True or False.

a ÷ ( –1) = – a

Take Left Hand Side of the equation.

Left Hand side can be written as LHS.

LHS = a ÷ (-1)

We can further solve it as,

⇒ LHS = -(a ÷ 1) [∵ minus can be taken out as it won’t affect the equation]

⇒ LHS = -a [∵ a ÷ 1 = a/1 = a] …(i)

Take Right Hand Side of the equation.

We can write Right Hand Side as RHS.

RHS = -a …(ii)

Now, comparing equations (i) and (ii), we get

LHS = -a & RHS = -a

This clearly shows that, LHS = RHS

Thus, this is a true statement.