Wednesday, 9 December 2015

mathematics - Make 82 With Numbers and Dots


How do you make 82 with the numbers



$4, 5, 6, 7, 8, 9, 0$




and 8 dots.


Get creative! You can use any mathematical operation, and the dots can be used in any mathematical way.


No ratios.


You must use every number.


Hint #1



The dots are to be used in an unexpected way.



Hint #2




How many ways can we use dots?




Answer



Ok, I'll write my desired answer.



$80 + .\dot{9}\dot{7} + .\dot{5} + .\dot{4}\dot{6}$



Which is basically...



$80 + 0.97979797... + 0.55555555... + 0.46464646...$




that adds up to...



$80 + 198/99$



Which finally equals to



$82$



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