Real Numbers
As we said before, there are numbers that we can’t express as the quotient of other two numbers as: π = 3.1415.., e = 2.7182.. , √2 = 1.4142.., golden ratio = Ψ =(1+√5)/2 = 1.61803..
These numbers are called Irrational Numbers, and if we add them to the Rational Numbers we obtain the Real Numbers, R , which we can represent in a straight line. This line is called the real number line:
Now, we have these sets of numbers:
Exercises:
1.- Classify these numbers:
a) 121/11
b) 1.234567....
c) -√225
d) -1/7
Solutions: a) N; b) R; c) Z; d) Q
2.- Represent these numbers in the real number line: √29, √41
3.- True-False Question
Decide if the following sentences are true or false:
a) All Natural Numbers are Real Numbers
b) All Natural Numbers are Irrational Numbers
c) All Rational Numbers are Whole Numbers
d) All the Decimal Numbers are Rational Numbers
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