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

Question

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.

Answer 1

Here are the matches for the given numbers with their correct descriptions:

1. 0.567 - This is a rational number (it can be expressed as a fraction, e.g., 567/1000).

2. √17 - This is an irrational number (it cannot be expressed as a simple fraction and has a non-repeating, non-terminating decimal expansion).

3. 0.123124125… - This is a rational number (it has a repeating pattern).

4. √49 - This is a rational number (it equals 7, which can be expressed as a fraction, e.g., 7/1).

5. 0.898989… - This is a rational number (it has a repeating pattern of "89").

So, the final matches are:

• 0.567: Rational
• √17: Irrational
• 0.123124125…: Rational
• √49: Rational
• 0.898989…: Rational