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Question

- The weight of 72 identical marbles is 183.6 grams. What is the weight of each marble? Explain how you know the decimal point of your quotient is placed reasonably.

Answer

The weight of each marble is 2.55 grams. The decimal point is placed reasonably because the weight of 2 marbles (2 x 2.55 = 5.10 grams) is close to 5 grams.

  • Find the weight of one marble by diving the total weight by the number of marbles. A: The weight of one marble is 183.6 / 72 = 2.55 grams.
  • To check if the decimal point is placed reasonably, we can check if the weight of 2 marbles is close to 5 grams or not. A: The weight of 2 marbles is 2.55 x 2 = 5.10 grams, which is close to 5 grams. Therefore, we know that the decimal point is placed reasonably.