Order the decimals from least to greatest.
-$0.1517 \overline { 15 } , 0 . \overline { 1517 } , 0 . \overline { 15 } , 0.15 \overline { 17 }$
A) $0 . \overline { 1517 } , 0.1517 \overline { 15 } , 0.15 \overline { 17 } , 0 . \overline { 15 }$
B) $0 . \overline { 15 } , 0.1517 \overline { 15 } , 0 . \overline { 1517 } , 0.15 \overline { 17 }$
C) $0.15 \overline { 17 } , 0 . \overline { 1517 } , 0.1517 \overline { 15 } , 0 . \overline { 15 }$
D) $0.1517 \overline { 15 } , 0 . \overline { 1517 } , 0 . \overline { 15 } , 0.15 \overline { 17 }$

Question

Quizplus · Accepted Answer

To order the decimals, we look at the repeating patterns and the initial digits. $0 . \overline { 15 }$ is the smallest because it repeats the shortest pattern. $0.1517 \overline { 15 }$ comes next as it starts with 0.1517 before repeating a shorter pattern. $0 . \overline { 1517 }$ has a longer repeating pattern than the previous two, making it larger. $0.15 \overline { 17 }$ is the largest because it starts with 0.15 before repeating a pattern that makes it larger than the others.

Order the Decimals from Least to Greatest 0.151715‾,0.1517‾,0.15‾,0.1517‾0.1517 \overline { 15 } , 0 . \overline { 1517 } , 0 . \overline { 15 } , 0.15 \overline { 17 }0.151715,0.1517,0.15,0.1517

Order the Decimals from Least to Greatest $0.1517 \overline { 15 } , 0 . \overline { 1517 } , 0 . \overline { 15 } , 0.15 \overline { 17 }$