Respuesta :
Answer:
Step-by-step explanation:
0.192 with a line over the 2: Repeating
0.314 with a line over the: Repeating
0.5353...: Nonrepeating
0.7777: Repeating
Answer:
[tex]\sf 0.19\overline{2} \quad Repea\:\!ting[/tex]
[tex]\sf 0.\overline{314} \quad Repea\:\!ting[/tex]
0.5353... Repeating
0.7777 Non-repeating
Step-by-step explanation:
A repeating decimal is a decimal number with a digit (or group of digits) that repeats forever.
There are three ways to show a repeating decimal:
- Several duplicates of the repeating digit or block of digits, followed by an ellipsis, e.g. 0.3333... or 0.123123...
- A dot or a line above a repeated digit, e.g. [tex]\sf 0.\.{3}[/tex] or [tex]\sf 0.\overline{3}[/tex]
- A line above a repeating block of multiple digits, e.g. [tex]\sf 0.\overline{123}[/tex]
[tex]\sf 0.19\overline{2}[/tex]
This is a repeating decimal as the line over the "2" means that this digit repeats forever.
[tex]\sf 0.\overline{314}[/tex]
This is a repeating decimal as the line over the "314" means the group of digits 314 repeats forever, e.g. 0.314314314...
0.5353...
This is a repeating decimal as there are two duplicates of the repeating block of digits "53" followed by an ellipsis.
0.7777
This is non-repeating decimal as there are no dots or lines above any of the digits, nor an ellipsis after the repeating digits.