It is a pain to write out all these zeros every time we use this number or type it into a calculator so instead we write it in Standard Form. So now we can use standard form with negative powers of 10 to write really small numbers.Į.g. This is based on the fact that multiplying by a negative power of 10 is the same as dividing by 10.Īgain, we can multiply these numbers by any other number, e.g.
We can also use standard form for small numbers. Notice, the power of 10 is just the number of places you move the decimal point to the left. Now we see that it starts to be easier to use standard form than writing out all those zeros. Now there are eight places between the leading number (3) and the end of the number so we can write this as, Now you might be happier writing 2000 than 2×10 3, but what if you had a really huge number like the speed of light? The second form of this number is what we call standard form. So here we have seen that we can write the number 2000 as 2×10 3. Of course we can multiply these numbers by any other number, e.g. Standard form is based on the idea that multiplying something by a power of 10 moves the decimal point. The numbers with commas are much easier to read and reduces the chance of writing the number down wrong.Īn even better way of dealing with large or small numbers is to use Standard Form. This helps you keep track of big or small numbers. One way to make sure you put the right number of zeros in your answer is to separate every three places with a comma. Writing these large or small numbers out can be a pain because you have to count lots of zeros and it’s easy to lose count!
In physics we sometimes have to deal with very large or very small numbers.
#STANDARD FORM PDF#
If PDF forms do not open in the latest versions of Firefox and Chrome, click here for the solution.Get some practice with standard form, try the standard form problem set.
#STANDARD FORM DOWNLOAD#
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