The subset of real number that can be used to classify the number 5.33 is irrational number.
Classifying the number
We know that 5.33 = 5 + 0.33 contains a decimal part which is 0.33 and 5 which is a whole number part.
Since 0.33 is the irrational or decimal part which makes 5 + 0.33 = 5.33 irrational since a rational number + an irrational number = irrational number.
Since an irrational number is a number which cannot be expressed as a ratio of two integers.
Conclusion
So, 5.33 is an irrational number.
So, the subset of real number that can be used to classify the number 5.33 is irrational number.
Learn more about irrational number here:
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