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The greatest one-digit number is \(9\). Adding \(1\) to the greatest one-digit number will result in \(9+1 =10\). That is, it results in the smallest two-digit number.
The greatest two-digit number is \(99\). Adding \(1\) to the greatest two-digit number will result in \(99+1 =100\). That is, it results in the smallest three-digit number.
Proceeding in this way, we can have the following table.
| Greatest number | Adding 1 | Smallest number |
| \(9\) | \(+1\) | \(=10\) |
| \(99\) | \(+1\) | \(=100\) |
| \(999\) | \(+1\) | \(=1000\) |
| \(9999\) | \(+1\) | \(=10000\) |
| \(99999\) | \(+1\) | \(=100000\) |
| \(9999999\) | \(+1\) | \(=1000000\) |
| \(9999999\) | \(+1\) | \(=10000000\) |
Thus, the resultant pattern becomes.
Greatest single\((1)\) digit number \(+ 1 =\) smallest \(2\)-digit number.
Greatest \(2\)-digit number \(+ 1 =\) smallest \(3\)-digit number.
Greatest \(3\)-digit number \(+ 1 =\) smallest \(4\)-digit number.
Greatest \(2\)-digit number \(+ 1 =\) smallest \(3\)-digit number.
Greatest \(3\)-digit number \(+ 1 =\) smallest \(4\)-digit number.
and so on.
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