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# How and why are real numbers more difficult to represent and process than integers?

Updated: 4/28/2022 Urickb

Lvl 1
13y ago

There are more real numbers than integers. The set of integers is countably infinite, of magnitude aleph-zero. The set of real numbers is uncountably infinite (specifically, aleph-one).

A computer can't really represent real numbers (that would require an infinite amount of memory), rather, it uses an approximation.

There are more real numbers than integers. The set of integers is countably infinite, of magnitude aleph-zero. The set of real numbers is uncountably infinite (specifically, aleph-one).

A computer can't really represent real numbers (that would require an infinite amount of memory), rather, it uses an approximation.

There are more real numbers than integers. The set of integers is countably infinite, of magnitude aleph-zero. The set of real numbers is uncountably infinite (specifically, aleph-one).

A computer can't really represent real numbers (that would require an infinite amount of memory), rather, it uses an approximation.

There are more real numbers than integers. The set of integers is countably infinite, of magnitude aleph-zero. The set of real numbers is uncountably infinite (specifically, aleph-one).

A computer can't really represent real numbers (that would require an infinite amount of memory), rather, it uses an approximation. Wiki User

13y ago   Wiki User

13y ago

There are more real numbers than integers. The set of integers is countably infinite, of magnitude aleph-zero. The set of real numbers is uncountably infinite (specifically, aleph-one).

A computer can't really represent real numbers (that would require an infinite amount of memory), rather, it uses an approximation.   Earn +20 pts
Q: How and why are real numbers more difficult to represent and process than integers?
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