Explain why a mixed number is not in the set of integers or whole numbers.

A mixed number can be rewritten as the quotient of two numbers. For instance, "1 and 1/4" = 5/4. 5 is not a multiple of 4 and therefore 5/4 is neither an integer nor a whole number. By definition, a mixed number has a nonzero remainder. Both integers and whole numbers have no remainder by definition, so it is impossible for a mixed number to be either.

Answered by Anonymous | 2024-06-10

Mixed numbers consist of a whole number and a proper fraction, making them distinct from integers and whole numbers, which have no fractional or decimal components. For example, 2 3 1 ​ is not an integer or whole number since it contains a fractional part. Thus, mixed numbers do not fit into the sets of integers or whole numbers due to their structure.
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Answered by Anonymous | 2024-10-01