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Greatest possible error for 19.2 meters?
The greatest possible error should be one half of the smallest unit used. The smallest unit used here is a tenth of a metre - or 100 cm. So the greatest error is 50 centimetres. Unfortunately, measurements are often given to spurious levels of accuracy.
What is the greatest possible error for 750?
If the numbers are rounded to the nearest 750, then 375 is the greatest possible error. Although you are not likely to have counted in 750s, it is quite possible that you counted in 50s (greatest error = 25). Or in tens (GE = 5) or in units (ones), when the greatest error is 0.5. The greatest possible error is half of the smallest unit of measurement.
Which is the smallest fraction of a number?
There is no such thing because half that fraction will be smaller still.
What is half of 8 but not twice 2?
Not possible
What is smallest rational number?
There is no such number. If any number laid claim to being the smallest rational number its claim could be challenged by half that number - which would also be rational and, obviously smaller. And the claim of that number could be challenged by half that number, and so on.
