|3⁄5|, 1⁄5, |-1|, 4⁄5

Question

 Order the following numbers from least to greatest.

|³⁄₅|,  ¹⁄₅,  |-1|,  ⁴⁄₅

|-1|  <  ¹⁄₅  <  |³⁄₅|  <  ⁴⁄₅

⁴⁄₅  <  |³⁄₅|  <  ¹⁄₅  <  |-1|

|-1|  <  ⁴⁄₅  <  |³⁄₅|  <  ¹⁄₅

¹⁄₅  <  |³⁄₅|  <  ⁴⁄₅  <  |-1|

none of the above

Answer 1

^{First rewrite the list without the abs indicators:}

^{⅗ ⅕ 1 ⅘.}

^{They’re all fifths except 1, so make 1 into ⁵⁄₅.}

^{Now they’re all fifths so we just write the numerators:}

^{3 1 5 4 and order them 1 3 4 5.}

^{So the list becomes ⅕ |⅗| ⅘ |-1| in their original form, 4th answer:}

^{⅕ < |⅗| < ⅘ < |-1|}