Question

Is -4.99 rational or irrational?

Answer 1

Rational as it terminates (stops)

Explanation:

`color(blue)("Consider the question as given")`

For a moment forget about the negative.

Note that `4.99` is counting in 1's so we have:

`4.99/1`

`color(green)(4.99/1color(red)(xx1) color(white)("ddd") -=color(white)("ddd")4.99/1color(red)(xx10/10)color(white)("ddd")=color(white)("ddd")49.9/10)`

`color(green)(49.9/10color(red)(xx1)color(white)("ddd")-=color(white)("ddd")49.9/10color(red)(xx10/10)color(white)("ddd")=color(white)("ddd")499/100->a/b )`

Putting the negative back we have:

`-499/100->-a/b larr" Rational"`