Question

For 1 through 8, classify each number in as many categories as possible.

1. -9/3
2. √2
3. ___
5.678
4. Is 1/45 to the left or the right of 0 on a number line?
5. 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 where applicable. Since you have provided only five items, I will give the classifications for those.

1. **-9/3**
- This is equal to -3.
- **Classification:**
- Integer
- Rational number (can be expressed as -3/1)
- Real number
- Negative number

2. **√2**
- This is an irrational number because it cannot be expressed as a fraction of two integers.
- **Classification:**
- Irrational number
- Real number
- Positive number

3. **5.678**
- This is a decimal number.
- **Classification:**
- Decimal number
- Rational number (can be expressed as 5678/1000)
- Real number
- Positive number

4. **1/45**
- On a number line, this number is positive. Therefore, it is to the right of 0.
- **Classification:**
- Positive rational number
- Real number

5. **-0.001**
- On a number line, this number is negative. Therefore, it is to the left of 0.
- **Classification:**
- Negative decimal number
- Rational number (can be expressed as -1/1000)
- Real number

If you have additional numbers to classify or if you need more clarification on any item, please provide them!