Answer :
To determine how many bytes are in 32 megabytes and express the answer in scientific notation, let's go through the problem step-by-step:
1. Calculate the number of bytes in one megabyte:
- One megabyte (1 MB) is equal to [tex]\( 1024 \times 1024 \)[/tex] bytes.
- This equals [tex]\( 1,048,576 \)[/tex] bytes per megabyte.
2. Calculate the total number of bytes in 32 megabytes:
- Multiplying [tex]\( 1,048,576 \)[/tex] bytes by 32 gives us the total number of bytes in 32 megabytes:
- [tex]\( 32 \times 1,048,576 = 33,554,432 \)[/tex] bytes.
3. Convert the total bytes into scientific notation:
- In scientific notation, we express a number in the form [tex]\( c \times 10^e \)[/tex], where [tex]\( c \)[/tex] (the coefficient) is a number between 1 and 10, and [tex]\( e \)[/tex] (the exponent) is an integer.
- For 33,554,432 bytes, the coefficient [tex]\( c \)[/tex] is 33.554432.
- The exponent [tex]\( e \)[/tex] is 6, because 33,554,432 = 33.554432 \times 10^6.
So, the number of bytes in 32 megabytes, expressed in correct scientific notation, is:
[tex]$ 32 MB = 33.554432 \times 10^{6} B $[/tex]
Therefore, enter [tex]\( \color{green}{33.554432} \)[/tex] in the green box for the coefficient and [tex]\( \color{yellow}{6} \)[/tex] in the yellow box for the exponent.
1. Calculate the number of bytes in one megabyte:
- One megabyte (1 MB) is equal to [tex]\( 1024 \times 1024 \)[/tex] bytes.
- This equals [tex]\( 1,048,576 \)[/tex] bytes per megabyte.
2. Calculate the total number of bytes in 32 megabytes:
- Multiplying [tex]\( 1,048,576 \)[/tex] bytes by 32 gives us the total number of bytes in 32 megabytes:
- [tex]\( 32 \times 1,048,576 = 33,554,432 \)[/tex] bytes.
3. Convert the total bytes into scientific notation:
- In scientific notation, we express a number in the form [tex]\( c \times 10^e \)[/tex], where [tex]\( c \)[/tex] (the coefficient) is a number between 1 and 10, and [tex]\( e \)[/tex] (the exponent) is an integer.
- For 33,554,432 bytes, the coefficient [tex]\( c \)[/tex] is 33.554432.
- The exponent [tex]\( e \)[/tex] is 6, because 33,554,432 = 33.554432 \times 10^6.
So, the number of bytes in 32 megabytes, expressed in correct scientific notation, is:
[tex]$ 32 MB = 33.554432 \times 10^{6} B $[/tex]
Therefore, enter [tex]\( \color{green}{33.554432} \)[/tex] in the green box for the coefficient and [tex]\( \color{yellow}{6} \)[/tex] in the yellow box for the exponent.
