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# Give the difference between rational and irrational numbers Give examples of each?

An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be.

2 is rational.

The square root of 2 is irrational. Study guides

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## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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A rational number is one that can be expressed as a ratio of two integers: thus x = p/q where q is not zero. An irrational number cannot be expressed in such a way.

One consequence is that a rational number, in decimal form, is either a terminating decimal or an infinite recurring decimal. An irrational number has an infinite decimal from that is non-repeating.

Examples of rational numbers: 2, -3/4, -3.756, 18.23464646.. (recurring)

Examples of Irrational Numbers: sqrt(2), pi, phi (the Golden Ratio), e (Euler's number) as well as their negatives.  Earn +20 pts  