Question

For 1 through 8, classify each number in as many categories as possible.
6. -9/3
7. √2
8. ___
5.678
9. Is 1/45 to the left or the right of 0 on a number line?
10. Is -0.001 to the left or the right of 0 on a number line.

Answer 1

Let's classify each number from 1 to 8, followed by answering questions 9 and 10:

1. **6:**
- Integer
- Rational Number
- Whole Number
- Natural Number

2. **-9/3:**
- Integer (which simplifies to -3)
- Rational Number
- Negative Number

3. **√2:**
- Irrational Number
- Real Number
- Positive Number

4. **5.678:**
- Decimal Number
- Rational Number
- Real Number
- Positive Number

5. **(Leave this blank for now):**
- Let's assume you want to input a number here or indicate it is just a placeholder.

6. **7: (If this is 8, it continues the sequence)**
- Integer
- Rational Number
- Whole Number
- Natural Number

Now let's classify numbers 8 and beyond appropriately.

### Questions 9 and 10:

9. **Is \( \frac{1}{45} \) to the left or the right of 0 on a number line?**
- \( \frac{1}{45} \) is a positive number, so it is to the right of 0 on a number line.

10. **Is -0.001 to the left or the right of 0 on a number line?**
- -0.001 is a negative number, so it is to the left of 0 on a number line.