Answer:
![500,000,000,000=5.0* 10^(11)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/r3l4gmmxat5jbc5h7g6f07oygrz9oqm38x.png)
![0.00000000005=5.0*10^(-11)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/7fwexacropv18jr8fk8x1qqfdnfmdnokua.png)
Explanation:
We are asked to write the given numbers in scientific notation.
We know two write a number in scientific notation, we need two factors. One is between 0 and 10 and second is power of 10.
![500,000,000,000=5.0* 100,000,000,000](https://img.qammunity.org/2019/formulas/mathematics/middle-school/pzvn6zs6u4lmb52uelzvju7neme5eedc88.png)
We have 11 zero after 10, so we can write it as
.
![500,000,000,000=5.0* 10^(11)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/r3l4gmmxat5jbc5h7g6f07oygrz9oqm38x.png)
Therefore, our required number would be
.
We can see that 0.00000000005, there are 11 digits after decimal, this means that 5 is divided by
.
![0.00000000005=5.0* (1)/(10^(11))](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ntuvbsz2wxwti2db0qo5tpitybi6xq6buu.png)
Using property
, we will get:
![0.00000000005=5.0*10^(-11)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/7fwexacropv18jr8fk8x1qqfdnfmdnokua.png)
Therefore, our required number would be
.