Question

Is (i) 1 ÷ a = 1?
(ii) a ÷ (–1) = – a? for any integer a.
Take different values of a and check.

Answer 1

1) 1 ÷ a = 1
In this problem a = 1.

2) a ÷ -1 = -a
In this problem any positive integer that is used as the value of a will have a value of -a.
If negative integer is used as the value of a then its answer will be positive a and not -a.

Answer 2

(i) 1 ÷ a = 1 is not true
Proof:

Let a = 2
= 1÷2
= $\frac{1}{2}$
≠ 1

(ii) a ÷ (–1) = – a is true.
Proof:

Let a= 5
= 5 ÷ (–1)
= $\frac{5}{-1}$
= -5