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Infinitely many.

There are infinitely many numbers between any two numbers. So, for example, cosidering only the numbers that round up, there are an infinitely many numbers between 149.999 and 150, all of which would round to 150. And there are another infinity between 149.5 and 149.999 which, to the nearest unit would round to 150.

If you are rounding to the nearest 10, all the numbers between 145 and 150 would also round to 150. In all cases you must also consider the numbers that are rounded down to 150.

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Q: How many numbers round to 150?
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