Answer:
[tex]500,000,000,000=5.0\times 10^{11}[/tex]
[tex]0.00000000005=5.0\times10^{-11}[/tex]
Step-by-step 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.
[tex]500,000,000,000=5.0\times 100,000,000,000[/tex]
We have 11 zero after 10, so we can write it as [tex]10^{11}[/tex].
[tex]500,000,000,000=5.0\times 10^{11}[/tex]
Therefore, our required number would be [tex]5.0\times10^{11}[/tex].
We can see that 0.00000000005, there are 11 digits after decimal, this means that 5 is divided by [tex]10^{11}[/tex].
[tex]0.00000000005=5.0\times \frac{1}{10^{11}}[/tex]
Using property [tex]\frac{1}{a^b}=a^{-b}[/tex], we will get:
[tex]0.00000000005=5.0\times10^{-11}[/tex]
Therefore, our required number would be [tex]5.0\times10^{-11}[/tex].
