Question

Write each fraction as a decimal. State whether the decimal is
terminating or repeating. If the decimal repeats, state the block of
digits that repeats

-1/6

Answer 1

well to change the fraction to a decimal, you need to divide \[1\div6\] what does that give you?

Answer 2

0.16667

Answer 3

yes. Since it was a negative fraction, we have to add the negative to the decimal. So -0.16667. Is that decimal repeating itself, or does it stop?

Answer 4

repeating

Answer 5

I don't think its repeating because look at the last number. Is there a line on the top of it? With the line on top, that would mean a repeating 7.

Answer 6

so no it not repeating

Answer 7

oh it is definitely repeating

Answer 8

it is? can you explain?

Answer 9

your calculator may say -0.166667 but that is because it is rounding
it is really \(-.1666666....\)

Answer 10

Oh, ok. I think I'll let you take over.

Answer 11

you will get a repeating decimal any time the denominator has a factor other than 2 or 5
6 has a factor of 3

Answer 12

if you divide by hand you will see it
as for the block of digits that repeat, in this case it is just 1 long, repeated 6's

Answer 13

so whats my anwser

Answer 14

based on the info satellite gave you, what do you think your answer is?

Answer 15

repeats

Answer 16

Ya, great job!

Answer 17

thanks