Question

which decimals are repeating? select each correct response. 0.4... 0.555 0.overline{6} 1.23overline{467} 1.456005600 1.8978968989...

Explanation:

• A repeating decimal has a digit or group of digits that repeat infinitely.
• \(0.4...\): The "..." implies the 4 (or a pattern) repeats infinitely, so it's repeating.
• \(0.555\): This is a terminating decimal (three 5s, then stops), not repeating.
• \(0.\overline{6}\): The bar over 6 means 6 repeats infinitely (\(0.666...\)), so it's repeating.
• \(1.23\overline{467}\): The bar over 467 means "467" repeats infinitely, so it's repeating.
• \(1.456005600\): This is terminating (ends after the last 0), not repeating.
• \(1.8978968989...\): The "..." and the pattern (89 appears in parts) implies a repeating or non - terminating pattern with repetition, so it's repeating.

Answer:

• \(0.4...\)
• \(0.\overline{6}\)
• \(1.23\overline{467}\)
• \(1.8978968989...\)