Select the correct description for each number: (10 points)

8/9 is () and a () decimal.
sqrt49 is () and a () decimal.
-0.071625... is () and a () decimal.
1/4 is () and a () decimal
-0.030303... is () and a () decimal.
Rational or Irrational, Terminating, repeating or non - terminating & non - repeating

1 answer

Here are the correct descriptions for each number:

  1. 8/9 is a rational number and a repeating decimal.
  2. sqrt(49) is a rational number and a terminating decimal (since sqrt(49) = 7).
  3. -0.071625... is a rational number and a non-terminating & non-repeating decimal (assuming the ellipsis indicates a non-repeating pattern).
  4. 1/4 is a rational number and a terminating decimal (since 1/4 = 0.25).
  5. -0.030303... is a rational number and a repeating decimal.

Here's a summarized version:

  • 8/9: Rational, Repeating
  • sqrt(49): Rational, Terminating
  • -0.071625...: Rational, Non-terminating & Non-repeating
  • 1/4: Rational, Terminating
  • -0.030303...: Rational, Repeating