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Whole Numbers

The counting numbers are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ... These numbers are also called the Natural Numbers. The sequence increment is +1. If we memorize the contents of the below table, we will be able to easily calculate the sums of larger numbers.

+ 1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9 10
2 3 4 5 6 7 8 9 10 11
3 4 5 6 7 8 9 10 11 12
4 5 6 7 8 9 10 11 12 13
5 6 7 8 9 10 11 12 13 14
6 7 8 9 10 11 12 13 14 15
7 8 9 10 11 12 13 14 15 16
8 9 10 11 12 13 14 15 16 17
9 10 11 12 13 14 15 16 17 18

What patterns can you find in the above table? For example, is 2 + 5 = 5 + 2? This property of addition is called the Commutative Property.

P + Q = Q + P for any numbers P and Q.