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
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Base 10 (Decimal)
- Place values: \(10^0, 10^1, 10^2, 10^3, \dots\)
- Units: Ones, Tens, Hundreds, Thousands, etc.
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Base 2 (Binary)
- Place values: \(2^0, 2^1, 2^2, 2^3, \dots\)
- Units: Ones, Twos, Fours, Eights, etc.
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Base 8 (Octal)
- Place values: \(8^0, 8^1, 8^2, 8^3, \dots\)
- Units: Ones, Eights, Sixty-Fours, etc.
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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
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Base 10 Example: 345
- 3 (Hundreds) + 4 (Tens) + 5 (Ones)
- \(3 \times 100 + 4 \times 10 + 5 \times 1 = 300 + 40 + 5 = 345\)
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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!
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