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"Irrational" numbers are the name for numbers that cannot be expressed in fractions; that is, in a "ratio" of one number to another. The number .5 is 1/2; one divided by two.

The most useful "irrational" number is the number "pi", the ratio of the diameter of a circle divided by its circumference. There is no fraction that exactly equals "pi", although 22/7 is close.

Another irrational number is the number "e", the root of the "natural logarithms". This is extensively used in engineering and electronic calculations.

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Q: When is irrational numbers used in modern life?
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