Question

Match the number with the correct description. (10 points)
V101
0.789
0.424242424...
V16
0.133134135...
•: Rational because the decimal does not terminate
:: Irrational because the decimal repeats
•: Rational because the decimal terminates
:: Irrational because it is the square root of a non-perfect square
:: Rational because it is the square root of a perfect square
:: Irrational because the decimal is non-terminating, non-repeating
•: Rational because the decimal repeats

Answer 1

Sure! Here’s the matching for each number based on the descriptions provided:

1. **V101**:
- **Description**: Irrational because it is the square root of a non-perfect square.

2. **0.789**:
- **Description**: Rational because the decimal terminates.

3. **0.424242424...**:
- **Description**: Rational because the decimal repeats.

4. **V16**:
- **Description**: Rational because it is the square root of a perfect square.

5. **0.133134135...**:
- **Description**: Irrational because the decimal is non-terminating, non-repeating.

So, the matches would be:
- V101 → Irrational because it is the square root of a non-perfect square.
- 0.789 → Rational because the decimal terminates.
- 0.424242424... → Rational because the decimal repeats.
- V16 → Rational because it is the square root of a perfect square.
- 0.133134135... → Irrational because the decimal is non-terminating, non-repeating.