What is a rational and irrational number?
Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers. There is no finite way to express them. ( examples: √2, π, e)
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A rational number is a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. For example, 3/5, -7/2, and 0/1 are all rational numbers.
To determine if a number is rational, you need to check if it can be expressed as a fraction. One way to do this is to write the number as a fraction in its simplest form. If the number can be expressed as a fraction, then it is rational.
On the other hand, an irrational number is a number that cannot be expressed as the quotient or fraction of two integers or as a repeating or terminating decimal. Examples of irrational numbers include √2, π (pi), and e (the base of natural logarithms).
To determine if a number is irrational, you can try to express it as a fraction. If you cannot find a way to express the number as a fraction, then it is irrational. Another way to identify irrational numbers is by checking if they have an infinite non-repeating decimal representation.
In summary, rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as fractions and have non-repeating decimal representations.