Order the decimals from least to greatest.
-$0 . \overline { 213 } , 0.213 \overline { 2 } , 0.2 \overline { 13 } , 0 . \overline { 2 }$
A) $0.213 \overline { 2 } , 0 . \overline { 213 } , 0 . \overline { 2 } , 0.2 \overline { 13 }$
B) $0.2 \overline { 13 } , 0 . \overline { 213 } , 0.213 \overline { 2 } , 0 . \overline { 2 }$
C) $0 . \overline { 2 } , 0.213 \overline { 2 } , 0 . \overline { 213 } , 0.2 \overline { 13 }$
D) $0 . \overline { 213 } , 0.2 \overline { 13 } , 0 . \overline { 2 } , 0.213 \overline { 2 }$

Question

Quizplus · Accepted Answer

To order these decimals, we convert them into their repeating forms for easier comparison: $0.\overline{213} = 0.213213213...$, $0.213\overline{2} = 0.213222222...$, $0.2\overline{13} = 0.213131313...$, $0.\overline{2} = 0.222222222...$. Thus, ordered from least to greatest, we have $0.2\overline{13}$, $0.\overline{213}$, $0.213\overline{2}$, $0.\overline{2}$.

Order the Decimals from Least to Greatest 0.213‾,0.2132‾,0.213‾,0.2‾0 . \overline { 213 } , 0.213 \overline { 2 } , 0.2 \overline { 13 } , 0 . \overline { 2 }0.213,0.2132,0.213,0.2

Order the Decimals from Least to Greatest $0 . \overline { 213 } , 0.213 \overline { 2 } , 0.2 \overline { 13 } , 0 . \overline { 2 }$