It means that only an idea of an object is exactly whatever value a measurement gives. There are so many more never ending decimal numbers like pi than there are decimals of finite length like 0.5 that there is a zero chance that the object which was measured to be 0.5 units is actually that value. However far you zoom in, there is always room to improve the observation by zooming in more.
the last
the precision of the answer must have the same number of significant digits as the measurement with the least significant digits- the site explains the rules and how to identify significant digits
It's signature figures
a shyly approached approximation
There are a lot of possible categories here but I'll assume you're talking about measurment. If you measure something (like length) with a reliable measuring device then, assuming no measurement error, your measurement will generally have two parts. The accurate part is the amount you can measure exactly with your device and the approximate part is the ammount you have to estimate when the measurement is not exactly equal to a scale division on your measuring device. So if you measure something with a ruler marked off in centimeters and the length falls between 2 and 3 cm, you have to estimate where between 2 & 3 it lies. If you decide its 2.8 cm then the 2 is considered accurate but the 8 is an approximation. If you combine (multiplication, division, addition etc) two measurements, your answer can be no more accurate then the least accurate measurement For example; multipling 2.8 times 3.4 , where the 8 and 4 are approximate, gives 9.52. This is implies more accuracy then you really have and should be rounded off to 9.5.
a shyly approached approximation
In a measurement the digits that are an approximation are only those in proper scientific notation. The more digits that are added to the number the more the number becomes exact.
An approximation error is the discrepancy between an exact value and the approximation to it. This occurs when the measurement of something is not precise.
Significant Digits.
significant digits
Approximation
In any measurement, the accurately known digits and the first doubtful digits are called significant figures.
The significant digits are: 3701; so there are four such digits in the measurement. These are the digits that convey the degree of precision included. Leading zeroes and trailing zeroes do not add such meaning.
Approximation
No, they are not.
There are 4 significant digits
There are seven (7) significant digits in 4032010.
Any measurement may have two significant digits.