Unit 5 · Number Theory

Chapter 5.5

Digits, Bases, and Decimals

A number's digits are a disguised polynomial, and that view turns digit puzzles into algebra.

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By the end

  1. 01Write a number from its digits as 10a + b and reason about digit sums
  2. 02Convert between bases and read a base-b numeral as a polynomial in b
  3. 03Decide which fractions terminate and convert repeating decimals

In unit 5

  1. 5.1Factor Into Primes First
  2. 5.2Divisibility, GCD, and LCM
  3. 5.3Odd and Even
  4. 5.4Remainders and Cycles
  5. 5.5Digits, Bases, and Decimals
  6. 5.6Equations in Whole Numbers
  7. 5.7Whole Numbers Are Information
  8. 5.8Which Idea Opens It? Number Theory
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