Select the correct description for each number:

options:

a) 8 over 9 is _____ and a ____________ decimal.

b) √49 is _____ and a _____________ decimal.

c) -0.071625... is ___________ and a decimal.

d) 1 over 4 is ______ and a _________ decimal.

e) -0.030303... is __________ and a _________ decimal.

(using rational and irrational & repeating, terminating, non-terminating/non-repeating)

1 answer

Here are the correct descriptions for each number:

a) 8 over 9 is rational and a repeating decimal.

b) √49 is rational and a terminating decimal (since it equals 7).

c) -0.071625... is rational and a terminating decimal (since it ends at the 625).

d) 1 over 4 is rational and a terminating decimal (since it equals 0.25).

e) -0.030303... is rational and a repeating decimal.

Summary:

  • a) rational, repeating
  • b) rational, terminating
  • c) rational, terminating
  • d) rational, terminating
  • e) rational, repeating
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