[Math] Base three numbers and expanded form

algebra-precalculusarithmetic

I need help understanding this. Write each of the following base three numerals in expanded notation.

  1. $22_3$
  2. $212_3$
  3. $12110_3$

Best Answer

Surely this means to expand them into base ten ...

So 22 in base three is actually 8 in base ten (this is 2 + (2*3)). 212 in base three is actually 14 in base ten (this is 2 + 1*3 + 2*9). 12110 in base three is actually 147 in base ten.

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