Question

What should be divided by `1/2` to obtain the greatest negative integer?

Answer 1

Let the number be x

We know that, greatest negative integer is –1

According for the question,

`1/2 ÷ x` = –1

⇒ `1/2 xx 1/x` = –1  ......`[∵ "Reciprocal of"  x = 1/x]`

⇒ `1/x = - 1 xx 2/1`

⇒ `1/x = (-2)/1`

⇒ x = `(-1)/2`

Hence, the required number is `(-1)/2`.