Count the number of places n that you moved the decimal point. The number ,, in scientific notation is written as : The first number 1.
Warning: A negative on an exponent and a negative on a number mean two very different things! You had to move it 9 places to the left to change 2,, to 2. Perform the same series of steps as above, except move the decimal point to the right. For an introduction to rules concerning exponents, see the section on Manipulation of Exponents.
To make approximations, simply round the numbers in scientific notation to the nearest integer, then do the operations in your head. Take, for example, the radius of an electron, 0. Recall at the beginning of the section that we found the number [latex]1. If you simply write down all 10 digits as your answer, you are implying that you know, with absolute certainty, the circle's circumference to an accuracy of one part in 10 billion!
First, I'll move the decimal point twelve places over. The conversion is fairly simple. If the decimal place has moved to the left then multiply by a positive power of 10; to the right will result in a negative power of