Question

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

Answer 1

Let's classify each number and respond to the questions accordingly.

### Classifications

**6. -9**
- Integer
- Rational Number
- Real Number
- Negative Number

**7. √2**
- Irrational Number
- Real Number
- Positive Number

**8. 5.678**
- Decimal Number
- Rational Number
- Real Number
- Positive Number

### Number Line Questions

**9. Is 1 half of 45 to the left or the right of O on a number line?**
- Half of 45 is \( 22.5 \). Since 22.5 is positive, it is to the **right** of 0 (O) on a number line.

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