Numbers:13,square root 32,-4,2.3,14/5,0,square root 100,0.1936...,1 5/7.

Question: Identify intergers, whole numbers, rational numbers, and irration numbers.

Guest Sep 12, 2017

Let's define a few terms. 


Integer: The whole numbers and their opposites


Whole numbers: The set of all positive numbers and 0.


Rational Number: A number in which its decimal expansion either terminates or repeats. Some people also know that a rational number can always be expressed as \(\frac{a}{b}\) such that \(a,b\in\mathbb{Z}\hspace{1mm}\text{and}\hspace{1mm}GCF(a,b)=1\).


Irrational Number: A number in which its decimal expansion neither terminates nor repeats. Some people also know that an irrational number canot be expressed as \(\frac{a}{b}\) such that \(a,b\in\mathbb{Z}\).


Now that we have defined these terms, let's figure out the classification of all these numbers using a table!

  \(\sqrt{32}=4\sqrt{2}\) \(-4.2\) \(\frac{14}{5}=2.8\) \(0\) \(\sqrt{100}=10\) \(0.\overline{1936}\) \(1\frac{5}{7}=\frac{12}{7}\)  
Whole Number?  
Rational Number?  
Irrational Number?  
TheXSquaredFactor  Sep 13, 2017

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