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Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.

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Q: What is the difference between rational and irrational in math?
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Is 0.21 a rational or irrational number?

Well, isn't that a happy little question! 0.21 is a rational number because it can be expressed as a fraction, specifically 21/100. Just like painting a beautiful landscape, math can be a lovely and calming experience once you understand its gentle rhythms.


Is 3.625 rational or irrational?

3.625 is RATIONAL, because you have not indicated if it continues to infinity. To continue to infinity then the number is written as 3.625... (Note the dots). However, 3.625... is also rational , because it can be converted to a quotient(fraction). NB IRRATIONAL numbers have their decimal going to infinity AND the decimal digits are not in any regular order. pi = 3.141592.... Is the most well known irrational number. Other irrationsal numbers are the square roots of prime numbers.


What is the difference between twice and double in math?

I don't think there is a difference.


Is 75.082106 repeating rational or irrational?

The number 75.082106 with a repeating decimal is rational. A rational number can be expressed as a fraction of two integers, where the denominator is not zero. In this case, the repeating decimal can be written as a fraction, making it a rational number. Irrational numbers cannot be expressed as fractions and have non-repeating, non-terminating decimal expansions.


Can a real number be both rational and irrational?

No it cannot. Math is an exact science. As it has been said before, A number can either be written as the quotient of two integers or it cannot. You can't have it both ways.