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Real Numbers: Quick Facts

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Real Numbers: Quick Facts

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Statement game on real numbers

Created by

claire zhixuan
claire zhixuan
Singapore

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Real Numbers: Quick Facts
 

Real Numbers: Quick FactsOnline version

Statement game on real numbers

by claire zhixuan
1

Every real number has a finite decimal expansion.

2

The decimal expansion of pi terminates.

3

Real numbers include all rational and irrational numbers.

4

The set of real numbers is uncountable.

5

The decimal expansion of a real number either terminates or repeats eventually.

6

Every non-empty interval of real numbers contains infinitely many numbers.

7

The real numbers are closed under taking square roots of negative numbers.

8

The set of real numbers is bounded.

9

There exists a real number that is both rational and irrational.

10

The real numbers are a complete ordered field.

 
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