In the decimal value 12.6 what power of 10 is associated with:
This is just base 10 positional notation which you know about already. The decimal point is put between the 100 position and the 10-1 position. Here is a longer example:
3 | 5 | 7 | . | 2 | 8 | 4 |
3×102 | 5×101 | 7×100 | . | 2×10-1 | 8×10-2 | 4×10-3 |
The notation 357.284
means 3 times 100, plus 5 times 10, plus 7 times 1,
plus 2 times 0.1, plus 8 times 0.01, plus 4 times 0.001.