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Base Twelve System

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  • Base Twelve System
  • BY: SHELBY TALBOTT
  • Why is there letters in this math problem?
  • Does anyone know what the base twelve system is? Or how we can solve this?
  • E4T =1642?
  • twelve
  • 1 unit = 1 unit1 long= 12 units1 flat= 144 units1 block= 1728
  • Base Twelve System
  • = 123
  • = 121
  • = 1
  • = 122
  • (E) = 11(T) = 12
  • This looks so hard!
  • twelve
  • I don't understand.
  • E4T =1642?
  • twelve
  • Convert to base 10.
  • I think Mrs. Jones has gone crazy guys!
  • 11x122
  • (E)= 11 flats(4)= 4 longs(T)= 12 units
  • +4x121
  • +12x1
  • YAY! I get it!This is so EASY and fun!!
  • Does you see what we did here?
  • Let's try a few together!
  • twelve
  • E4T =1642?
  • ET68=52TE=
  • 11x123
  • +2x122
  • 5x123
  • +10x122
  • E4T =1642(E)= 11 flats(4)= 4longs(T)= 12 units
  • +10x121
  • twelve
  • Base Twelve System
  • +6x121
  • +8x1
  • +11x1
  • 11x122
  • = =9056
  • =144+48+12=1642
  • = 19008+1440+72+8
  • = 8640+288+120+11
  • +4x121
  • = 144+48+12=1642
  • = 20528
  • +12x1
  • Now I get it!!
  • 52TE=
  • ET68=
  • 5x123
  • 11x123
  • Hey me too!!
  • +2x122
  • +10x122
  • +6x121
  • +10x121
  • +8x1
  • YAY! I knew you could do it!This stuff is too easy for y'all!
  • +11x1
  • = 19008+1440+72+8
  • = 8640+288+120+11
  • =20528
  • =9059
  • I even think this is fun!
  • We call this the "hat method" because we will use a symbol that looks like a hat, but we use it to divide. When we start we always start with the greatest power of 12. Which here we have 122 and equals 144.
  • Now we are going to convert our basic numerals into base twelve! Let's try an example together.
  • 497=
  • 144
  • 12
  • -432
  • -60
  • 497
  • 5
  • 65
  • And there you have it our new 497= 355 base twelve.Easy peasy for smart kids like y'all!!
  • 5
  • 3
  • 1
  • 497 = 355
  • -5
  • 0
  • 5
  • 5
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