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Are mixed numbers rational numbers

Updated: 4/28/2022
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yes

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Q: Are mixed numbers rational numbers
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Are mixed numbers a rational number?

A mixed number is a rational number. Mixed numbers are not a rational number but many of them.


Why are mixed numbers rational?

Because they can be expressed as a fraction


Are all mixed numbers rational?

Yes.A mixed number is a whole number plus a fraction.Fractions are rational, that is of the form c/dWhole numbers are rational - put them over 1 to form a[n improper] fraction a/b, eg 5 = 5/1The sum of two rational numbers is rational.


Could negative mixed numbers be rational numbers?

Not only could they be, but they always are.


Can the set of mixed numbers is the union of the set of integers and the set of fraction?

No, the set of mixed numbers is a subset of the set of rational numbers. For example the mixed number 1 ¼ is the same as the improper fraction 5/4 [a rational number]. Note that it is a subset, because integers are also rational numbers, but a mixed number will not be an integer. Also, any fraction between 0 and 1 will not be a mixed number.


Why are mixed numbers always rational?

Because they can be expressed as fractions


What is always true about the product of 2 mixed numbers?

In any case, being the product of two rational numbers, it will also be rational. It can either be another mixed number, or it may happen to be an integer.


Is 2.7064 rational or irrational?

This number is rational - all fractions, including decimal fractions and mixed numbers are rational.


Is making a mixed number into an improper number a method to compare rational numbers?

Yes.


What set of numbers does a mixed fraction belong to?

A mixed fraction is a rational number because you can rewrite it as one integer over another.


Are mixed fractions rational?

Yes, mixed fractions are rational


How many rational numbers are there between two consecutive rational numbers?

There are no consecutive rational numbers. Between any two rational numbers there are an infinity of rational numbers.