In problems and in life you often do not need every digit after the point — an approximate value with the right precision is enough.
Rounding is a rule for cutting off the “tail” on the right so the number stays closest to the original among forms with fewer places.
In the interactives below we use the usual school rule for non‑negative numbers: look at the first digit you drop; if it is 5, 6, …, 9, increase the last kept digit by 1 (“five or more — round up”).
Approximation is a deliberate simplification of how you write a number
Rounding is fixed by place: to whole numbers, to tenths…
The digit just past the “cut” decides whether to bump the last kept digit
Rounding examples
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