Questions: Replace the question mark with the appropriate value. 16 cm^2=? m^2 16 cm^2=□ m^2 (Simplify your answer. Type an integer or a decimal.)

Replace the question mark with the appropriate value.

16 cm^2=? m^2

16 cm^2=□ m^2

(Simplify your answer. Type an integer or a decimal.)
Transcript text: Replace the question mark with the appropriate value. \[ 16 \mathrm{~cm}^{2}=? \mathrm{~m}^{2} \] \[ 16 \mathrm{~cm}^{2}=\square \mathrm{m}^{2} \] (Simplify your answer. Type an integer or a decimal.)
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Solution

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Solution Steps

Step 1: Convert Square Centimeters to Square Meters

To convert \( 16 \, \text{cm}^2 \) to square meters, we use the conversion factor where \( 1 \, \text{m}^2 = 10,000 \, \text{cm}^2 \). Therefore, we can express the conversion as:

\[ 16 \, \text{cm}^2 = \frac{16}{10,000} \, \text{m}^2 \]

Step 2: Simplify the Expression

Now, we simplify the fraction:

\[ \frac{16}{10,000} = 0.0016 \, \text{m}^2 \]

Final Answer

Thus, the value of \( 16 \, \text{cm}^2 \) in square meters is

\[ \boxed{0.0016} \]

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