Question
You are given the fraction 19/23 . A random calculator displays the following: 19 23= 0.8260869565217391304347826086956522 a) Decide whether the decimal expansion for the given
You are given the fraction 19/23 . A random calculator displays the following: 19 23= 0.8260869565217391304347826086956522
a) Decide whether the decimal expansion for the given fraction is terminating
or non-terminating. If it is non-terminating, decide whether it is repeating or
non-repeating. If it is repeating, state the repeating block. Do so by
analyzing what kind of decimal expansion the given fraction can yield based
on the denominator.
b) State the proper decimal expansion of the given fraction.
c) Explain why the last digit on the calculator display shows up as it does.2
d) What is the 4567th digit to the right of the decimal point in the decimal
expansion of the given fraction?
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