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

Question

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
0.133134135...
0.424242424...
0.789
16−−√
101−−−√

Rational because the decimal repeats
Irrational because it is the square root of a non-perfect square
Rational because the decimal terminates
Irrational because the decimal repeats
Rational because it is the square root of a perfect square
Irrational because the decimal is non-terminating, non-repeating

Answer 1

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

1. 0.133134135...

   • Irrational because the decimal is non-terminating, non-repeating

2. 0.424242424...

   • Rational because the decimal repeats

3. 0.789

   • Rational because the decimal terminates

4. 16−−√ (square root of 16)

   • Rational because it is the square root of a perfect square

5. 101−−−√ (square root of 101)

   • Irrational because it is the square root of a non-perfect square

So the final matches are:

• 0.133134135... → Irrational because the decimal is non-terminating, non-repeating
• 0.424242424... → Rational because the decimal repeats
• 0.789 → Rational because the decimal terminates
• 16−−√ → Rational because it is the square root of a perfect square
• 101−−−√ → Irrational because it is the square root of a non-perfect square