example the rational approximation of pi is 3.14
so a rational approximation is shortening a really long number so it can be written out
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A rational number is any number that can also be expressed as a fraction.
Yes, 0.3 is a rational, for it can be written as a fraction. By definition, rational numbers are any numbers that can written as a fraction.
1.2073
Yes, 34 can be written as 34/1 which is the ratio of two integers making it rational by definition.
Any number that is presented as an integer "over" (aka divided by) an integer is automatically a rational number - that's what the definition of a rational number is.