Question

A floppy disc can store 1440000 bytes of data

a)write the number 1440000 in a standard form.


A hard disc can store 2.4x10^9 bytes of data

b)calculate the number of floppy disks needed to store the 2.4x10^9 bytes of data

Answer 1

`1440000 = 1.44* 10^(6)`

We need approximately 1667 floppy disc to store
`2.4* 10^9` bytes of data.

Explanation:

We are given the following information in the question:

A floppy disc can store 1440000 bytes of data.

We have to convert 1440000 in a standard form.

Standard Form:

• Standard form is a way of writing down very large or very small numbers easily.
• It helps us to express large numbers in powers of 10

The standard form can be written as:

`1440000 = 1.44* 10^(6)`

We have positive power of 10 because we have to move to the right of the decimal point.

A hard disc can store
`2.4* 10^9` bytes of data.

Number of floppy disks needed to store the
`2.4* 10^9` bytes of data =

`\displaystyle\frac{\text{Data Stored}}{\text{Data store by 1 floppy disk}}\\\\= (2.4* 10^9)/(1.44* 10^6) = 1.66667* 10^((9-6)) = 1.66667* 1000 = 1666.67 \approx 1667`

Thus, we need approximately 1667 floppy disc to store
`2.4* 10^9` bytes of data.