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Short answer: yes.
Irrational Numbers like PI have what are called "decimal expansions." For PI, decimal expansions would be numbers like:
3.14
3.14159
3.141592653589793238
etc.
These expansions are, themselves, rational numbers.
The thing is, an irrational number has an infinitely long, non-repeating sequence of digits after the decimal point. While these digits can be computer forever to a precision limited only by how much effort a person is willing to put into it, they cannot be exactly represented as decimal numbers. Any possible finite decimal number that you come up with will not be a perfect representation of an irrational number.
So strictly speaking, I would say that a decimal number can only ever represent a rational number.
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Is 5.68 rational or irrational?
5.68 is rational. All decimal numbers that terminate, or end in one or more repeating digits are rational numbers.
Can all rational decimals be written as a decimal numbers?
Yes.
Is 5.88 a rational number?
A rational number is a number that can be expressed as a fraction. All finite decimal numbers are rational. In this case 5.88 is rational because it can be expressed as 588/100
Will 0.54732814 produce a rational number when multiplied by 0.5?
The product of two rational numbers is a rational number. All decimal numbers that terminate or end with a repeating sequence of digits are rational numbers. As both 0.54732814 (as written) and 0.5 are terminating decimals, they are both rational numbers. As 0.54732814 is a rational number and 0.5 is a rational number, their product will also be a rational number.
How can I order rational numbers from least to greatest?
There are several ways: convert them all into decimal (or percentage) notation and order these. Or subtract the rational numbers in pairs. If the answer is positive then the first of the two is larger.
