File "", line 1 [ x , x ** 2 for x in range ( 6 )] We've spent quite some time together with the standard form calculator, enough to know that we can't leave the answer like this. We haven't learned how to write a number in standard form for nothing. For instance, take the number 154.37. It is in its standard form in the decimal base. That means 1 is the hundreds digit, 5 is that of tens, 4 of ones, 3 of tenths, and 7 of hundredths. Having the number written the way it is, makes us see it as a whole, and we don't really think of the individual digits, do we?

which is the number we had initially but with the point two places to the right. This movement by 2 is shown by the power in the standard form exponents.

In the first section, we mentioned that the standard form converter is most useful when we're dealing with very large or very small numbers. So, why don't we take one object from each side of the spectrum: a planet and an atom. The expanded form is a way to write a number as a sum, each summand corresponding to one of the number's digits. In our case, the sum would be:

F = 0.00000000006674 N·m²/kg² × 5,972,000,000,000,000,000,000,000 kg × 73,480,000,000,000,000,000,000 kg / (384,400,000 m)². Non-Americans often refer to the standard form in math in connection with a very different topic. To be precise, they understand it as the basic way of writing numbers (with decimals) using the decimal base (as opposed to, say, the binary base), which we can decompose into terms representing the consecutive digits. Teenagers head out to Crystal Lake, NJ where they encounter murderous Jason and his handy machete... the absolute value of n tells us how many places we have to move the point, and the sign of n indicates if it should be to the right (for n positive) or the left (for n negative). Therefore, converting to standard form is all about choosing the power of 10 in such a way that the b in the formula is between 1 and 10.There is a valuable lesson here: writing numbers in standard form is not always the way to go. It's all about simplicity of notation, but, at the end of the day, it pretty much boils down to a matter of personal preference (or your teacher's if you're writing a test).