12-08-2015
Mathematics

contestada

negative 0.09 repeating as a fraction

Respuesta :

12-08-2015

We can use a clever trick to solve this problem.

Call the decimal x. We see that:

x=-.09999...
and that:
100x=-9.9999...

Subtracting the second equation from the first, we see that:

99x=-9.9

Dividing by 99, we see that x=-.1.

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