Question

Using long division, write the rational number -9/24 as a terminating decimal?

Answer 1

`-9/24=-0.375`

Explanation:

Let us divide `9` by `24` using long division.

`color(white)(xxxxx)0 .color(white)(1)3 color(white)(x)7color(white)(x)5`
`color(white)(xx) 24| bar(9color(white)(x).0color(white)(x) 0)color(white)(x) 0`
`color(white)(xxxxx)ul(7color(white)("x)2)color(red)(darr`
`color(white)(xxxxx)1color(white)(x)8 color(white)(x) "0"`
`color(white)(xxxxx)ul(1color(white)(x)6color(white)(x)8)`
`color(white)(xxxxxxx)1color(white)(x)2color(white)(x) "0"`
`color(white)(xxxxxxx)ul(1color(white)(x)2color(white)(x)0`
`color(white)(xxxxxxxxx) color(white)(x)-`

and hence

`-9/24=-0.375`