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Unformatted text preview: ... (What is this number?) . 101001000100001000001 ... (Is this number rational or irrational?) When we write a nonteminating decimal, we get some information about the location of the number from each truncation. When we say between, below, we mean the inclusive between. = 3 . ??? ... is between 3 and 4 = 3 . 1??? ... is between 3 + 1 10 and 3 + 2 10 = 3 . 14??? ... is between 3 + 1 10 + 4 100 and 3 + + 1 10 + 5 100 1 What number is: between 0 and 1 between 3 10 and 4 10 between 3 10 + 3 100 and 3 10 + 4 100 between 3 10 + 3 100 + 3 1000 and 3 10 + 3 100 + 4 1000 etc. What number is: between 0 and 1 between 9 10 and 1 between 9 10 + 9 100 and 1 between 9 10 + 9 100 + 9 1000 and 1 etc. 2...
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This note was uploaded on 11/23/2011 for the course MATH 1551 taught by Professor Malisoff during the Fall '08 term at LSU.
 Fall '08
 MALISOFF
 Calculus, Real Numbers, Integers

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