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If the number can be expressed as a ratio of two integer (the second not zero) then the number is rational. However, it is not always a simple matter to prove that if you cannot find such a representation, then the number is not rational: it is possible that you have not looked hard enough!
Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.
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How can I determine if a number is a rational number?
If a number can be expressed as a fraction then it is a rational number
How do you determine if eleven out of twenty is a rational or irrational number?
All whole numbers are rational. Any rational number divided by another (non-zero) rational number is a rational number.
How do you determine if a number is rational or irrational?
If it can be expressed as a fraction then it is rational if not then it is irrational
How to determine if a number is rational or not?
If you can write down the number completely, using digits, decimals, and fractions, then it's rational.
Does a negative sign determine weather or not it is a rational number?
No
How can you determine the domain and range of a rational number?
A number does not have a range and domain, a function does.
How can you determine -0.12131415.rational or irrational?
Since it has a finite number of decimals, it is rational. (An infinite number of decimals, that repeats regularly, is also rational - for example, 1/7 = 0.142857 142857 142857...)
How can you determine whether the square root of a number is a rational number or an irrational number?
If it can't be expressed as a fraction then it is an irrational number
How do you determine a rational or irrational number?
It isn't always possible to determine. For example, it is unknown whether the Euler-Mascheroni constant (0.5772156649...) is rational or irrational.Most famous numbers and constants are known to be rational or irrational. If it can be expressed as a fraction a/b where a and b are integers, it's rational.
How do you determine if a decimal is rational or not?
A decimal is a rational number if it ever ends, or if it repeats the same single digit or set of digits forever.
When a number is written in decimal and acirc and 128 and 139 form how do we know if the number is a rational and acirc and 128 and 139 number?
You cannot. There is no way to determine if the number has or has not been rounded and so no way to determine if the number is a terminating, repeating or other form of decimal number. Without that information you cannot tell if it is rational.
Is 3.456 a rational or irrational number?
It is a rational number. It can be written as a fraction.
