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TaigaDavid Levithan, an American author, is known for saying "Love is like pi - natural, irrational, and very important." This statement emphasizes that love, like the mathematical constant pi, is something that is inherent to human nature, cannot be easily defined or explained, and holds great significance in our lives.
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Why does pi go on forever?
Because it's an irrational number, and that's what "irrational" means. There are lots of other irrational numbers, like the base of the natural logarithm e or the square root of 2.In fact, there are more irrational numbers than rational numbers. A lot more.Infinitely more, even. There are an infinite number of rational numbers, but the infinite number of irrational numbers is a higher infinity than the infinity of rational numbers.
Why is the golden ratio an irrational number?
Because like any other irrational number it can't be expressed as a fraction
Does a calculator display the exact values of all irrational numbers?
No. An irrational number is one that does not repeat or finish, and a calculator cannot display millions of digits like an irrational number would have.
Is -10 an irrational number and why?
No, because it stops it doesn't keep going like numbers like pi, square root of 2...
Can a number be a natural number and a real number?
All natural numbers are also real numbers, but all real numbers are not necessarily natural numbers because natural numbers are positive whole numbers. Real numbers are any number on the number line, which includes irrational numbers like pi and sqrt2. Thus only the positive natural numbers are both natural and real. Hope this is not too long-winded!
