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Earn +20 ptsQ: Why rational numbers require extension?
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Why integers need an extension?
In the first stage, the set of all integers needs an extension - to the set of rational numbers - to get closure for division (which is the inverse operation to multiplication).
Let K be an extension of the field Q of rational numbers?
OK. I'm agreeable. Sounds reasonable to me. K has my permission.
What rational numbers are real numbers?
All rational numbers are real numbers.
Are rational numbers is an irrational numbers?
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
Are prime numbers rational numbers?
All prime numbers are rational.
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