what is negative 1/9 as a decimal

Question

show work please

 

Answer 1

-.1111...

Answer 2

To convert -1/9 as a decimal, we use long division.  Divide 1 by 9.  Then insert the negative sign after division.

 

 

     0 . 1 1 1 1

   ____________

9 | 1 . 0                       add a zero each time you perform the division process.

          9

     ________

          1 0

             9

           ____

              1 0

                 9

               ____

                 1 0

                    9

                   ____

                    1 0

 

 

By now, you should see a pattern in the quotient.  The digits after the decimal point repeat.

 

                    

-1/9 = -0.1111

 

 

The decimal has repeating digits.