11 Finding irrational numbers between two rational Numbers
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11 Finding irrational numbers between two rational Numbers
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SOLVED:The value of the irrational number π, correct to ten decimal places (without rounding off), is 3.1415926535 . By using a calculator, determine to how many decimal places each of the following quantities agrees with π(a) (4 / 3)^4: This is the value used for πin the Rhind papyrus, an ancient Babylonian text written about 1650 B.C. (b) 22 / 7: Archimedes (287-212 B.C. ) showed that 223 / 71<π<22 / 7 . The use of the approximation 22 / 7 for πwas introduced to the Western world through the
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