Select Repeating or Nonrepeating to correctly classify each decimal.
0.192 with a line over the 2
0.314 with a line over the
0.5353...
0.7777
please answer fast

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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.

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