Question

A floppy disc can store 1440000 bytes of data

Answer 1

Answer:

$1440000 = 1.44\times 10^{6}$

We need approximately 1667 floppy disc to store $2.4\times 10^9$ bytes of data.      

Step-by-step 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:

$1440000 = 1.44\times 10^{6}$

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

A hard disc can store $2.4\times 10^9$ bytes of data.

Number of floppy disks needed to store the $2.4\times 10^9$ bytes of data =

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

Thus, we need approximately 1667 floppy disc to store $2.4\times 10^9$ bytes of data.