Classifying Rational and Irrational Numbers
Classifying Rational and Irrational Numbers
TGM Original
Rational Numbers
A rational number can be expressed as \(p/q\), where \(p,q\) are integers and \(q\ne0\).
The denominator must not be zero.
Irrational Numbers
An irrational number is a real number that cannot be expressed as \(p/q\) for integers \(p,q\) with \(q\ne0\).
Are the following numbers rational or irrational?
\(2\frac{3}{4}\), \(-1.72\), \(0.01\), \(\sqrt{2}\), \(\pi \), \(0.\dot{2}\), \(\sqrt{49}\), \(-4\)
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Answer:Rational: \(2\frac{3}{4},-1.72,0.01,0.\dot{2},\sqrt{49},-4\). Irrational: \(\sqrt{2},\pi\).
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