Use One megabyte is approximately 106 bytes. One gigabyte is approximately 109 bytes. How many megabytes are in one gigabyte?

Respuesta :

KTAP

Answer:

1 megabyte

Step-by-step explanation:

106 only fits into 109 one time (with a remainder of 3)

For this case we have to:

1 megabyte is defined as[tex]10 ^ 6[/tex]bytes

1 gigabyte is defined as [tex]10 ^ 9[/tex] bytes

We want to know how many megabytes there are in a gigabyte. For this we divide:

[tex]\frac {10 ^ 9} {10 ^ 6}[/tex]

By power properties we have:

[tex]\frac {10 ^ 9} {10 ^ 6} = 10 ^ {9-6} = 10 ^ 3[/tex]

So we have that in a gigabyte there is one megabyte plus one kilobyte.

Checking:

[tex]10 ^ 6 * 10 ^ 3 = 10 ^ {6 + 3} = 10 ^ 9[/tex]

Answer:

1 megabyte