+0  
 
0
115
2
avatar

Add $1_3 + 12_3 + 212_3 + 2121_3.$ Express your answer in base 3.

 Feb 24, 2023
 #1
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0

Converting to base 10, we get 1 + 4 + 23 + 50.  This is 79.

 

Converting back to base 3, 79 = 2221_3.

 Feb 24, 2023
 #2
avatar+33616 
+2

\(1_3 = 1\\12_3=1*3+2=5\\212_3=2*9+1*3+2=23\\2121_3 =2*27+1*9+2*3+1=70\)

.
 Feb 25, 2023

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