# A Base

### 1, 2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 16, 17, 18, 21, 22, 23, 24, 25, 26, 27, 28, 31, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 44, 45, 46, 47, 48, 51, 52, 53, 54 ....

 ``` 2 4 4 5 6 7 8 11 11 22 22 +2 +4 +5 +5 +6 +2 +8 +8 +11 +6 +7 =4 =8 =11 =12 =14 =11 =18 =21 =22 =28 =31 ```

 If you can open your mind to a different way of thinking about math it makes it easier. In fact this is no more complex than grade five work.

 ``` 4 8 11 12 14 11 18 21 22 28 31 -2 -4 -5 -5 -6 -2 -8 -8 -11 -6 -7 =2 =4 =4 =5 =6 =7 =8 =11 =11 =22 =22 ```

 You must know how to add and subtract before you can multiply and divide.

 ``` 1*8=8 2*8=18 3*8=28 4*8=38 28=2*8+8 38=3*8+8 =28+8 8*8=78 11*8=88 78=7*8+8 88=8*8+8 =68+8 =82+8 12*8=118 118=1*82+1*8+8 =78+8+8 13*8=128 78 128=1*82+2*8+8 18 =78+18+8 + 8 =128 ```

A Base Multiplication Grid
12345678
246812141618
36111417222528
48141824283438
512172431364348
614222836445258
716253443526168
818283848586878

 Now that you know A Base you can understand other ASTUC concepts. If you are interested in A Base there is work to be done. Conventions need to be devised to apply A Base to different problems. For example, the representation of fractions is preferred over decimal style notation. Let me know of any ideas.