Example

0.333

3)1.000

-9

Erika uses division to write and as decimals.

First she estimates that because is between

and), it will be between 0.25 and 0.5. Likewise,

because z is between 2 and it will be between

0.5 and 0.75. Then she divides as shown at the right.

} = 0.333..., or 0.3 = 0.666..., or 0.6

0.666

3)2.000

-18

20

-18

20

2011

-18

1 Erika says that no matter how many decimal places she

divides to when she divides 1 by 3, the digit 3 in the

quotient will just keep repeating. Is she correct? Explain.