Let's take your number 9,999.999:
If we round the last digits up to the nearest one, we see that we have the following chain reaction:
No matter where you start to round up, you will always end up with
I hope this makes sense.
For example, if you measure someone's height. We usually say that someone is 6'1'', 5'7'', 5'10'', etc. Anything we measure is continuous; we can never give an exact value for it. There will always be rounding errors. Also, it wouldn't make sense to say that you're 5'11.1267844568395678923532479234...''(2)Describe two real-world situations in which it makes sense to round numbers.
Another example would be when dealing with money. The number representation of money never exceeds more than 2 decimal points to the right.
For example, we may see that a bottle of soda may be , but not
Hopefully this makes sense!