Question

line up the place values, and use base ___ units

Answer 1

It looks like you're asking about base units in relation to place values. However, you didn't specify the base you're interested in. Here's a general overview:

### Place Values in Different Bases

1. **Base 10 (Decimal)**
- Place values: \(10^0, 10^1, 10^2, 10^3, \dots\)
- Units: Ones, Tens, Hundreds, Thousands, etc.

2. **Base 2 (Binary)**
- Place values: \(2^0, 2^1, 2^2, 2^3, \dots\)
- Units: Ones, Twos, Fours, Eights, etc.

3. **Base 8 (Octal)**
- Place values: \(8^0, 8^1, 8^2, 8^3, \dots\)
- Units: Ones, Eights, Sixty-Fours, etc.

4. **Base 16 (Hexadecimal)**
- Place values: \(16^0, 16^1, 16^2, 16^3, \dots\)
- Units: Ones, Sixteens, Two Hundred Fifty-Sixes, etc.

### Example in Base 10 and Base 2

- **Base 10 Example: 345**
- 3 (Hundreds) + 4 (Tens) + 5 (Ones)
- \(3 \times 100 + 4 \times 10 + 5 \times 1 = 300 + 40 + 5 = 345\)

- **Base 2 Example: 1011 (Binary)**
- \(1 \times 2^3 \) + \(0 \times 2^2 \) + \(1 \times 2^1 \) + \(1 \times 2^0 \)
- \(1 \times 8 + 0 + 1 \times 2 + 1 \times 1 = 8 + 0 + 2 + 1 = 11\) in decimal.

If you provide a specific base or further context, I can give a more tailored explanation or example!