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irrational number
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irrational number

Number that cannot be expressed as an exact fraction. Irrational numbers include some square roots (for example, √2, √3, and √5 are irrational); numbers such as π (for circles), which is approximately equal to the decimal 3.14159; and e (the base of natural logarithms, approximately 2.71828). If an irrational number is expressed as a decimal it would go on for ever without repeating. An irrational number multiplied by itself gives a rational number.



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He identifies stages in solving equations during the intervening millennia, linking them to successive extensions of the number systems beyond positive integers and fractions to embrace positive irrational numbers, negative numbers timidly towards the end of the Middle Ages, and finally complex numbers shortly after that.
As one pupil explained irrational numbers at the front of the class, the prince was seen to grimace as he battled with the concept.
It then explores the use of symbols and algebra, the concepts of rational and irrational numbers, and how numbers are represented geometrically.
 
 
 
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