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Mathematics 20 Online
OpenStudy (anonymous):

are all integers are real numbers?

OpenStudy (anonymous):

yes they most certainly are!

OpenStudy (anonymous):

i think so

OpenStudy (anonymous):

the integers are a subset of the real numbers.

OpenStudy (anonymous):

by definition integers are like 5, 9 , -6, 1 etc which are real numbers

OpenStudy (anonymous):

right jamesm

OpenStudy (anonymous):

The integers are ..., -3, -2, -1, 0, 1, 2, 3, .... The real numbers are pi, e, sqrt(2), 9837528903478590872345, 9872394872.1289378923759836, 1/9987, i, phi, ANYTHING on the number line, and (if you include imaginaries) some off. So if you do a simple bit of logic, the integers being numbers (obviously), they are indeed also real numbers. If you specify\[x \in R \] or\[x \in Z\] where Z is the set of integers, R is the set of real numbers, simple induction proves that \[Z \subset R\].

OpenStudy (moongazer):

YES!

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