Can you write 0.00000004 as a power of 10? - Answers

4.00*10^-8The number that 10 is to the power of is the number of digits from the decimal place, except if the number is less than one (then you add one to the # of decimals and make it negative).So,100 = 10^2 because rightmost non-zero digit is 2digits from the decimal.10 = 10^1 ... is 1 digit from the decimal.1 = 10^0 ... is 0 digits from the decimal.0.1 = 10^-1 because the first non-zero digit is 0digits from decimal place(but we add one and make it negative because the number weare converting to a power of 10 is less than one).0.01 = 10^-2 ...digit is 1 digit away, +1 and make itnegative because it's less than one0.001 = 10^-3 ... 2 digits away + 1 and make it negBut wait, these are only multiples of 10! What if I have a number like 4 or 0.000000004?Well, it's simple. You simply find out the power of 10 using the above rules and then multiply it by a factor (note that above rules do not take into account the value of the number, just its placement from the decimal place), then multiply it by a factor (usually the group of non-zero numbers, in this case 4).So for the sake of example, lets use 0.04using the above rules we can tell that the power of 10 we must use is 10^-3However 10^-3 is 0.01, not 0.04. So we multiply 10^-3 by 4 so that it equals 0.04.This gives us 4*10^-3