Question

how many bytes are in 47 gigabytes? express the answer in correct scientific notation. 47 gb = ?×10^? b enter the coefficient in the green box and the exponent in the yellow box.

Explanation:

Step1: Recall the conversion factor

1 gigabyte (GB) = $2^{30}$ bytes (B). Since $2^{10}=1024\approx10^{3}$, then $2^{30}=(2^{10})^3\approx(10^{3})^3 = 10^{9}$ bytes.

Step2: Convert 47 GB to bytes

$47\text{ GB}=47\times2^{30}\text{ B}\approx47\times10^{9}\text{ B}$.

Step3: Rewrite in scientific - notation

$47\times10^{9}=4.7\times10^{1}\times10^{9}=4.7\times10^{1 + 9}=4.7\times10^{10}\text{ B}$.

Answer:

Coefficient (green): 4.7
Exponent (yellow): 10