Question

All of the following are epuivalent forms 9/11 except

1. 0.8181
2. 0.81
3. 72/88
4. 1.22

Answer 1

Answer:Answer: Except (4) but see detail below

Precisely speaking,

Looking over the choices, only 72/88 = 9/11 is precisely "equivalent" so all of (1), (2), and (4) would be EXCEPT.

But because , "equivalent" may also mean "approximate." If that is the case (I let you make the call if the premise is true): the following are definitely not 9/11:

1.22 (is greater than 1)

It could also be that the original question had the "overline" mark to mean "periodic" over the 81 parts, like this:

which then means they are equivalent, leaving truly only 1.22 is the one non-match

Explanation:

Answer 2

Answer: Except (4) but see detail below

Precisely speaking,
`(9)/(11)=0.\overline{81}=0.818181....`

Looking over the choices, only 72/88 = 9/11 is precisely "equivalent" so all of (1), (2), and (4) would be EXCEPT.

But because K12 teachers' language may sometimes be sloppy, "equivalent" may also mean "approximate." If that is the case (I let you make the call if the premise is true): the following are definitely not 9/11:

1.22 (is greater than 1)

It could also be that the original question had the "overline" mark to mean "periodic" over the 81 parts, like this:

`0.\overline{81}\\0.\overline{8181}`

which then means they are equivalent, leaving truly only 1.22 is the one non-match