How many bytes are in 32 megabytes? Express the answer in correct scientific notation.

[tex]\[ 32 \, \text{MB} = [?] \times 10^{[?]} \, \text{B} \][/tex]

Enter the coefficient in the green box and the exponent in the yellow box.



Answer :

To convert 32 megabytes into bytes, we first need to understand the relationship between megabytes (MB) and bytes (B).

1 megabyte is equal to [tex]\(1024\)[/tex] kilobytes, and 1 kilobyte is equal to [tex]\(1024\)[/tex] bytes. Therefore,

[tex]\[1 \text{ MB} = 1024 \times 1024 \text{ bytes} = 1048576 \text{ bytes}.\][/tex]

To convert 32 megabytes to bytes, we multiply:

[tex]\[32 \text{ MB} = 32 \times 1048576 \text{ bytes}.\][/tex]

Performing the multiplication, we find:

[tex]\[32 \times 1048576 = 33554432 \text{ bytes}.\][/tex]

Now, we need to express this result in scientific notation. Scientific notation involves expressing the number as a coefficient times 10 raised to an exponent.

In scientific notation, [tex]\(33554432\)[/tex] can be written as follows:

The coefficient here is [tex]\(3.3554432\)[/tex] and the exponent is [tex]\(7\)[/tex]. Therefore,

[tex]\[33554432 = 3.3554432 \times 10^7 \text{ bytes}.\][/tex]

So, the final answer is:

[tex]\[32 \text{ MB} = 3.3554432 \times 10^7 \text{ B}.\][/tex]

Enter the coefficient [tex]\(3.3554432\)[/tex] in the green box and the exponent [tex]\(7\)[/tex] in the yellow box.