Questions: Measurement and Matter Multiplication and division of measurements Decide whether each proposed multiplication or division of measurements is possible. If it is possible, write the result in the last column of the table. proposed multiplication or division Is this possible? result (4.0 cm) · (8.0 cm) =? yes no (1.0 cm) · (9.0 s) =? yes no (1.0 g^3) · (0.029 kg) =? yes

Measurement and Matter
Multiplication and division of measurements

Decide whether each proposed multiplication or division of measurements is possible. If it is possible, write the result in the last column of the table.

proposed multiplication or division  Is this possible?  result
(4.0 cm) · (8.0 cm) =?  yes no  
(1.0 cm) · (9.0 s) =?  yes no  
(1.0 g^3) · (0.029 kg) =?  yes
Transcript text: Measurement and Matter Multiplication and division of measurements Decide whether each proposed multiplication or division of measurements is possible. If it is possible, write the result in the last column of the table. \begin{tabular}{|c|c|c|} \hline \begin{tabular}{c} proposed \\ multiplication or division \end{tabular} & \begin{tabular}{c} Is this \\ possible? \end{tabular} & result \\ \hline$(4.0 \mathrm{~cm}) \cdot(8.0 \mathrm{~cm})=?$ & \begin{tabular}{c} yes \\ no \end{tabular} & $\square$ \\ \hline$(1.0 \mathrm{~cm}) \cdot(9.0 \mathrm{~s})=?$ & \begin{tabular}{c} yes \\ no \end{tabular} & $\square$ \\ \hline$\left(1.0 \mathrm{~g}^{3}\right) \cdot(0.029 \mathrm{~kg})=?$ & $\square$ yes \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Determine the Operation's Validity

Since the operation is multiplication, any combination of units is valid. We are multiplying 4 cm by 8 cm.

Step 2: Calculate the Result

The result of the multiplication is calculated as 4 * 8 = 32. The resulting unit is the product of the units involved, which is cm*cm.

Final Answer: The result is 32 cm*cm.

Step 1: Determine the Operation's Validity

Since the operation is multiplication, any combination of units is valid. We are multiplying 1 cm by 9 s.

Step 2: Calculate the Result

The result of the multiplication is calculated as 1 * 9 = 9. The resulting unit is the product of the units involved, which is cm*s.

Final Answer: The result is 9 cm*s.
Step 1: Determine the Operation's Validity

Since the operation is multiplication, any combination of units is valid. We are multiplying 1 g^3 by 0.029 kg.

Step 2: Calculate the Result

The result of the multiplication is calculated as 1 * 0.029 = 0.029. The resulting unit is the product of the units involved, which is g^3*kg.

Final Answer: The result is 0.029 g^3*kg.
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