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A bag contains [tex]178 \frac{2}{3}[/tex] kg of rice. If 67 bags are filled with equal weights of rice, how much rice is there in each bag?

Answer :

Each bag contains approximately 2.6667 kilograms of rice when 178.67 kg is evenly divided among 67 bags. The concept of significant figures applies to weight measurements, but not to the exact count of items such as the number of bags.

The question is asking to find out how much rice there is in each bag if 178 whole number 2 upon 3 kg (which likely refers to 178rac{2}{3} kilograms or 178.67 kg with a clearer notation) of rice is distributed equally among 67 bags. To calculate this, we need to divide the total amount of rice by the number of bags.

To determine the amount of rice per bag, we perform the following calculation:

178rac{2}{3} kg \/ 67 bags = approximately 2.6667 kg per bag.

Thus, each bag contains approximately 2.6667 kilograms of rice.

It is easy to distinguish between bags with notable weight differences, such as a one-pound bag and a two-pound bag, where one is twice as heavy as the other. The example given illustrates how exact numbers, such as the count of items like bags, are not considered when determining significant figures.

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