Q:

A color photograph taken with a digital camera is converted into digital format using 4\cdot10^04β‹…10 0 4, dot, 10, start superscript, 0, end superscript bytes per pixel. Photographs taken with the camera each have 2.2\cdot10^62.2β‹…10 6 2, point, 2, dot, 10, start superscript, 6, end superscript pixels. How many bytes are there in one photo?

Accepted Solution

A:
Answer:[tex]8.8*10^{6}[/tex] Β Bytes (or 8,800,000 Bytes)Step-by-step explanation:There are Β [tex]4*10^{0}[/tex] Bytes per PixelAlsoEach Photographs have [tex]2.2*10^{6}[/tex] PixelsTo find bytes in 1 photo , we have to multiply both the numbers (in scientific notation) above.Let's remember the rule of multiplying 2 numbers in scientific notation:[tex](a*10^b) * (x*10^y)=(a*x)*10^{b+y}[/tex]Following this rule we have:Number of Bytes = [tex](4*10^0)*(2.2*10^6)=(4*2.2)*10^{0+6}=8.8*10^{6}[/tex]or 8,800,000 Bytes