Largest Number on the Calculator
We have such faith in our
calculators. It is hard to believe that they do not have the
answers to ALL calculations, even in approximate form.
But, unfortunately, there is a
point beyond which our calculator cannot compute. Most
calculators, including the TI83+/84+, cannot handle numbers larger
than 9.99999999 x 10^{
99}. 

As an
example, the largest factorial that can be computed on the TI83+/84+
is the factorial 69!. The factorial
70! produces an overflow error. It is possible to continue investigating some larger factorials by multiplying the decimal portion of 69!. 69! = 1.711224524 x 10^{ 98 }70! = (70 x 1.711224524) x 10 ^{98 }70! = 119.7857167 x 10 ^{98} = 1.197857167 x 10 ^{100} Sometimes, YOU are more powerful than your calculator!!! 
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