Digits, Place Value & Number Bases
A numeral is a weighted sum of its digits; changing the base changes the place-value weights but not the underlying positional idea.
What you'll learn
- Distinguish a digit symbol from the value of the numeral containing it.
- Expand a positional numeral as a weighted sum and explain the role of zero.
- Interpret and convert numerals in bases other than ten using powers of the base.
- Optimize digit placement by assigning larger digits to larger positional weights.
Before you start
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