In all of the above three cases,, and, one is asked to consider an impossible situation before deciding what the answer will be, and that is why the operations are undefined in these cases. In any integer partition of a 5-set into 2 parts, one of the parts of the partition will have more elements than the other. If there are, say, 5 apples and 2 people, the problem is in "evenly distribute". A partition is possible (of a set with 0 elements into 0 parts), but since the partition has 0 parts, vacuously every set in our partition has a given number of elements, be it 0, 2, 5, or 1000. Similar problems occur if one has 0 apples and 0 people, but this time the problem is in the phrase " the number". So, at least in elementary arithmetic, is said to be meaningless, or undefined. In mathematical jargon, a set of 10 items cannot be partitioned into 0 subsets. There is no way to distribute 10 apples amongst 0 people. The problem with this question is the "when". So for dividing by zero – what is the number of apples that each person receives when 10 apples are evenly distributed amongst 0 people? Certain words can be pinpointed in the question to highlight the problem. Similarly, if there are 10 apples, and only one person at the table, that person would receive = 10 apples. As an example, consider having ten apples, and these apples are to be distributed equally to five people at a table. In elementary arithmeticWhen division is explained at the elementary arithmetic level, it is often considered as a description of dividing a set of objects into equal parts. 3.4 Extended non-negative real number line.2.2 Fallacies based on division by zero.2.1 Division as the inverse of multiplication.
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