Question

* 20 POINTS* The speed of computers is measured in number of calculations per picosecond. There are 3.6 times 10 to the 15th power picoseconds per hour. What fraction of a second is a picosecond?

Answer 1

`10^(-12)`

Explanation:

Calculate, how many picoseconds are included in one second

1 hour = 3600 seconds =
`3.6\cdot10^3` seconds

1 hour =
`3.6\cdot10^(15)` picoseconds

`3.6\cdot10^3` seconds =
`3.6\cdot10^(15)` picoseconds

1 second
`=(3.6\cdot10^(15))/(3.6\cdot10^3)=(10^(15))/(10^3)=10^(12)` picoseconds

Information: 1 second is
`10^(12)` picoseconds means that 1 picosecond is
`\frac1{10^(12)}=10^(-12)` fraction of a second