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Decide whether each proposed multiplication or division is possible from the image below and restore the results if they are I don’t need an explanation just the answer please

Decide whether each proposed multiplication or division is possible from the image-example-1
User Peace Wang
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1 Answer

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The question presents a table with many multiplications using different units (mass and velocity) and requires us to decide whether the operations presented are possible.

To solve this question, we should keep in mind this general rule: for units reffering to the same measurement (for example: mass, volume, distance etc.), we are able to multiply the units as long as they are the same. For example: g x g, L x L, m x m. If units are about the same measurement but still different, we should convert one of them in order to make them the same.

On the other hand, when we are talking about division, if we have the same unit on the operator and denominator position, we will have a result as "1" - then we need to analyze the entire value.

Now, considering the operations presented in the question:

On the first one, we have kg multiplied by kg. Although it isn't usual to see square kg (kg^2), we are able to make this operation:


9.0\text{ kg }*5.0\text{ kg}=45kg^2

On the second line, we have square g multiplied by kg. In this case, since the first unit is square, we can assume they are not about the same measurement. Thus, we can't complete this operation.

On the third line, there is a division and we should proceed as a normal operation (although the unit km/s isn't usual):


\frac{5.6\text{ km}}{7.0\text{ s}}=0.8\text{ km/s}

In summary, the answers should be:

1) Is it possible? YES / Result = 45 kg^2

2) Is it possible? NO

3) Is it possible? YES / Result = 0.8 km/s

User Idiottiger
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