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latter methods of making calculations are merely short methods of adding and subtracting.
     When we say 4 X 3, we really mean 4 groups of 3's. Add together four 3's-the result will be 12. But we have been taught a method of automatic addition--called the multiplication table--so that we know that 4 X 3=12 without going to the trouble of working out a problem in addition. Knowing the multiplication table you realize immediately that 7 X 8 = 56.

TABLE NO. 1
MULTIPLICATION TABLE

  1 2 3 4 5 6 7 8 9 10
1 1 2 3 4 5 6 7 8 9 10
2 2 4 6 8 10 12 14 16 18 20
3 3 6 9 12 15 18 21 24 27 30
4 4 8 12 16 20 24 28 32 36 40
5 5 10 15 20 25 30 35 40 45 50
6 6 12 18 24 30 36 42 48 54 60
7 7 14 21 28 35 42 49 56 63 70
8 8 16 24 32 40 48 56 64 72 80
9 9 18 27 36 45 54 63 72 81 90
10 10 20 30 40 50 60 70 80 90 100

Just seeing 7 X 8 will cause a mental picture of the number 56 to flash into your mind automatically. In Table No. 1 we have shown the multiplication table as it was first formulated by the Greek philosopher Pythagoras--and shows why it is properly called a table.
     Our tables of measurements, the tables that tell us how many pounds in a ton, how many feet in a mile, how many rods in an acre, how many ohms resistance there is in 1000 feet of No. 24 copper wire, are all examples of this same sort of table,

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Transcriber  Richard Lancaster