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Polynomials

Question

Wired Faculty App

Write the following in decimal form and say what kind of decimal expansion each has:

$1 over 11$

Solution

1 over 11

11 right parenthesis space 1.000000 space left parenthesis 0.090909.......... space space space space space space bottom enclose thin space thin space thin space 99 thin space thin space thin space thin space thin space end enclose space space space space space space space space space space 100 space space space space space space space space space bottom enclose thin space thin space space thin space 99 thin space thin space space space end enclose space space space space space space space space space space space space space 100 space space space space space space space space space space space space space bottom enclose thin space thin space thin space 99 thin space thin space thin space end enclose space space space space space space space space space space space space space space space space space 1 therefore space space 1 over 11 equals 0.090909 space...... equals space 0. top enclose 09

The decimal expansion is non-terminating repeating.

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