Question

quick check: classify dec repeating 0.6767 0.677... $1.overline{2}$ 2.3000 4.676767 $5.612overline{34}$

Explanation:

To classify repeating decimals, we identify decimals with a repeating pattern (either a bar or an ellipsis indicating repetition):

• \( 0.6767 \): Finite (no repetition indicated, terminates).
• \( 0.677\ldots \): Repeating (ellipsis shows non - terminating, repeating).
• \( 1.\overline{2} \): Repeating (bar over \( 2 \) shows \( 2 \) repeats).
• \( 2.3000 \): Finite (terminates).
• \( 4.676767 \): Finite (terminates).
• \( 5.612\overline{34} \): Repeating (bar over \( 34 \) shows \( 34 \) repeats).

Answer:

The repeating decimals are \( 0.677\ldots \), \( 1.\overline{2} \), and \( 5.612\overline{34} \). So the checkboxes to mark are for \( 0.677\ldots \), \( 1.\overline{2} \), and \( 5.612\overline{34} \).