Question

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