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A color photograph taken with a digital camera is converted into digital format using
4*10^(0) bytes per pixel. Photographs taken with the camera each have
2.2*10^(6) pixels.
How many bytes are there in one photo? Write your answer in scientific notation.
bytes

A color photograph taken with a digital camera is converted into digital format using $4 \cdot 10^{0}$ bytes per pixel. Photographs taken with the camera each have $2.2 \cdot 10^{6}$ pixels. $\newline$ How many bytes are there in one photo? Write your answer in scientific notation. $\newline$ bytes

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Multiply and divide rational numbers: word problems

Full solution

Q. A color photograph taken with a digital camera is converted into digital format using

4 \cdot 10^{0}

bytes per pixel. Photographs taken with the camera each have

2.2 \cdot 10^{6}

pixels.

\newline

How many bytes are there in one photo? Write your answer in scientific notation.

\newline

bytes

Calculate Bytes per Pixel: To find the total number of bytes in one photo, we need to multiply the number of bytes per pixel by the number of pixels in the photo. $\newline$ Calculation: $4 \times 10^0 \text{ bytes/pixel} \times 2.2 \times 10^6 \text{ pixels}$
Multiply Coefficients in Scientific Notation: We use the properties of exponents to multiply the numbers in scientific notation. $\newline$ Calculation: $4 \times 2.2 \times 10^{0+6}$
Perform Multiplication of Coefficients: Perform the multiplication of the coefficients ( $4$ and $2$ . $2$ ). $\newline$ Calculation: $4 \times 2.2 = 8.8$
Combine Result with Exponent: Combine the result of the coefficients with the exponent part. $\newline$ Calculation: $8.8 \times 10^6$ $\newline$ This is the total number of bytes in one photo in scientific notation.

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