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I don't think that there is a number bigger than its square as you are timesing the number Not true. Any number between 0 and 1 is bigger than its square.
Any number bigger than 7.37 and smaller than 8.43 will do that. There are an infinite number of them.
There is only one way to change a decimal number to a number bigger than it. Any number such as 5821.2347 adding a zero to either end won't make it bigger. The only way is to get a number negative or smaller than 1 but not 0 than making it to the power of 0 can make it one which is bigger.
A half can be any size, depending on what number you are halving. If your asking is 0.52 bigger than a half of one then yes it is.
Any number that starts "0.00010000" followed by at least one non-zero digit is bigger than 0.0001 and smaller than 0.00010001, eg: 0.000100001 0.00010000000000000000000000001