The number \(2. \overline{9}\) (which means \(2.99999...\) ) is a rational number. Using algebra, explain why \(2.\overline{9}\) is exactly equal to \(3\).
Explanation:
Let .
In the number \(x\) repeats. So, let us multiply \(x\) by .
Subtract \(x\) from \(10x\), we get: