![]() If you'd round up all the time, the average is too high. It prevents cumulative rounding errors and this is why it's often used in science (we use it as a default mode in our significant figures calculator. Rounds towards the nearest neighbor, but if equidistant, it rounds towards the even number. The above numbers become 3 and -3 respectively. half down - similarly to half up, it rounds to the nearest neighbor, unless it's equidistant - then it rounds towards zero (just like in the down mode).This is how rounding is usually performed. For example, 3.5 becomes 4 and -3.5 becomes -4. If equidistant, it rounds away from zero (just like in the up mode). half up (default) - rounds towards the nearest neighbor.This principle is what our modulo calculator is based on. Similarly, negative numbers go the opposite way than in the case of rounding down. floor - it rounds towards the smaller number.It differs from rounding up by the way it handles negative numbers. ceil - rounds towards the larger number.Here's the description of all modes, we'll round to the nearest whole number. Sometimes you want exact halves to be rounded up in half of the cases and down in the other half, in order to for a higher chance of an average staying close to the truth. Sometimes you want to round everything up ( 2.1 would be rounded to 3). Depending on the situation, you will want this rounding algorithm to behave appropriately.
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