BASE 3

BASE 3 SYMBOLS KEY

• Base 10 0 1 2
• Base 3 0 1 2
• Symbols $ & ?

Base 10- 0 1 2 3 4 5 6 7 8 9 10 11 12
$ & ? &$ && &? ?$ ?& ?? &$$ &$& &$? &&$
Base 3- 0 1 2 10 11 12 20 21 22 100 101 102 110

Base 10- 13 14 15 16 17 18 19 20 21 22 23 24 25
&&& &&? &?$ &?& &?? ?$$ ?$& ?$? ?&$ ?&& ?&? ??$ ??&
Base 3- 111 112 120 121 122 200 201 202 210 211 212 220 221

PLACE-VALUE CHART

• Base 3- 27 9 3 1 1/3 1/9
• EXPONENTIAL - 3^3 3^2 3^1 3^0 3^-1 3^-2
• FORM

Once there was a planet called Zarof. The people of Zarof had 3 heads, but they had a very short memory. Then, a great mathematician by the name of Ishaan visited this planet. To fix this dilemma, Ishaan created a math system based on the heads of the people of this planet. He called it base three, a name that stuck in Zarof for a very long time.

ADDITION PROBLEMS

• Base 3- 2121+112=?
• Base 10- 70+14=?
• Symbols- ?&?&+&&?=?
• Answers on the next page➡️

ADDITION ANSWERS

• Base 3- 10,010
• Base 10- 84
• Symbols- &$,$&$

SUBTRACTION PROBLEMS

• Base 3- 221-122=?
• Base 10- 25-17=?
• Symbols- ??&-&??=?
• Answers on the next page➡️

SUBTRACTION ANSWERS

• Base 3- 22
• Base 10- 8
• Symbols- $??

MULTIPLICATION PROBLEMS

• Base 3- 122x22
• Base 10- 17x8=?
• Symbols- &??x??=?
• Answers on the next page➡️

MULTIPLICATION ANSWERS

• Base 3- 12,001
• Base 10- 136
• Symbols- &?,$$&