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

Question

101−−−√
0.424242424...
0.133134135...
16−−√
0.789
Descriptions:
Irrational because it is the square root of a non - perfect square
Rational because the decimal repeats
Rational because it is the square root of a perfect square
Rational because the decimal terminates
Irrational because the decimal repeats
Irrational because the decimal is non - terminating , non - repeating
Rational because the decimal does not terminate.

Answer 1

Let's match each number with the appropriate description:

1. \( \sqrt{101} \)

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

2. 0.424242424...

   • Description: Rational because the decimal repeats

3. 0.133134135...

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

4. \( \sqrt{16} \)

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

5. 0.789

   • Description: Rational because the decimal terminates

So the final matches are:

• \( \sqrt{101} \) → Irrational because it is the square root of a non-perfect square
• 0.424242424... → Rational because the decimal repeats
• 0.133134135... → Irrational because the decimal is non-terminating, non-repeating
• \( \sqrt{16} \) → Rational because it is the square root of a perfect square
• 0.789 → Rational because the decimal terminates