Consider someone firing a rifle at a target.
If their shots centre around the bullseye, they were accurate, even if the scatter is quite large.
If the scatter is very small (i.e. all the shots are very clustered) they were very precise - even if that cluster is far from the bullseye.
So accuracy: how on target are you.
Precision: How much spread is there around the target?
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A thermometer says the temperature is 34 degrees ceentigrade. The divisions are so close you could only decide it is 34 rather than 33 or 35. So its precision is one degree. If the specification for that thermometer is plus or minus 3 degrees then you only really know it is between 31 and 37. If its precision is plus or minus one degree you know it is between 33 and 35.
It relied on experimentation and reason, not rhetoric.
It is different because you do not need a ruler or anything to count. It is also much more accurate.
A footstep is not a uniform measurement. Two people's footsteps differ in length. Therefore, the two units are incompatible.
Ordinary notation is where the numbers are laid, or written out. Scientific notation is a short handed version with numbers that indicate the amount of zeroes behind the end of the numbers.