Question

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

Answer 1

`\sf 0.19\overline{2} \quad Repea\:\!ting`

`\sf 0.\overline{314} \quad Repea\:\!ting`

0.5353... Repeating

0.7777 Non-repeating

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.
  `\sf 0.\.{3}` or
  `\sf 0.\overline{3}`
• A line above a repeating block of multiple digits, e.g.
  `\sf 0.\overline{123}`

`\sf 0.19\overline{2}`

This is a repeating decimal as the line over the "2" means that this digit repeats forever.

`\sf 0.\overline{314}`

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.