Respuesta :
Answer:
[tex]1440000 = 1.44\times 10^{6}[/tex]
We need approximately 1667 floppy disc to store [tex]2.4\times 10^9[/tex] 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:
[tex]1440000 = 1.44\times 10^{6}[/tex]
We have positive power of 10 because we have to move to the right of the decimal point.
A hard disc can store [tex]2.4\times 10^9[/tex] bytes of data.
Number of floppy disks needed to store the [tex]2.4\times 10^9[/tex] bytes of data =
[tex]\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[/tex]
Thus, we need approximately 1667 floppy disc to store [tex]2.4\times 10^9[/tex] bytes of data.
