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A micron is a metric unit used to measure microscopic lengths. It is represented by the symbol $\mu m$ and is equal to about $0.000039$ inches. What is the approximate size of one micron written in scientific notation? $\newline$ Choices: $\newline$ (A) $4 \times 10^{-4}$ inches $\newline$ (B) $4 \times 10^{-5}$ inches $\newline$ (C) $4 \times 10^{-6}$ inches $\newline$ (D) $4 \times 10^{-7}$ inches

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. A micron is a metric unit used to measure microscopic lengths. It is represented by the symbol

\mu m

and is equal to about

0.000039

inches. What is the approximate size of one micron written in scientific notation?

\newline

Choices:

\newline

(A)

4 \times 10^{-4}

inches

\newline

(B)

4 \times 10^{-5}

inches

\newline

(C)

4 \times 10^{-6}

inches

\newline

(D)

4 \times 10^{-7}

inches

Convert inches to microns: Convert inches to microns by setting up the conversion factor. $\newline$ $1$ inch = $\frac{1}{0.000039}$ microns $\newline$ Calculate the conversion. $\newline$ $1$ inch = $\frac{1}{0.000039}$ microns $\approx 25641.02564$ microns

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