Match the number with the correct description.(5 points)

Put responses in the correct input to answer the question.
0.567
√17
0.123124125….
√49
0.898989…

Note: Be specific, and say if it is either rational or irrational, like if it is an irrational repeating decimal, you would put that.

2 answers

Here are the correct matches for each number with their descriptions:

  1. 0.567 - Rational (terminating decimal)
  2. √17 - Irrational (non-repeating, non-terminating decimal)
  3. 0.123124125… - Irrational (non-repeating, non-terminating decimal)
  4. √49 - Rational (perfect square; equals 7)
  5. 0.898989… - Rational (repeating decimal)

So the responses would be:

  • 0.567 - Rational (terminating decimal)
  • √17 - Irrational (non-repeating, non-terminating)
  • 0.123124125… - Irrational (non-repeating, non-terminating)
  • √49 - Rational (equals 7)
  • 0.898989… - Rational (repeating decimal)
is sqrt 49 a rational root of a perfect square?