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Answer :
To find out how many times you need to fold a piece of paper to reach the height of the Eiffel Tower, let's walk through the problem step-by-step using the given result.
1. Understand the Problem:
- We start with a piece of paper that is 0.1 mm thick.
- We want to fold this paper until its thickness is at least the height of the Eiffel Tower, which is 324,000 mm (324 meters).
2. Folding the Paper:
- Each time you fold the paper, its thickness doubles. This means after one fold, the thickness is [tex]\(2 \times 0.1\)[/tex] mm, after two folds, [tex]\((2^2) \times 0.1\)[/tex] mm, and so on.
- We need to continue this folding process until the paper’s thickness is at least 324,000 mm.
3. Determine the Number of Folds:
- We start with a thickness of 0.1 mm.
- On each fold, double the thickness and count how many folds it takes for the thickness to be equal to or exceed 324,000 mm.
4. Result:
- After 22 folds, the thickness of the paper will be 419,430.4 mm, which is greater than 324,000 mm.
- Therefore, you need to fold the paper 22 times to make it reach or exceed the height of the Eiffel Tower.
This step-by-step process shows how folding a thin piece of paper repeatedly can achieve impressive thickness, sufficient to surpass the height of notable structures like the Eiffel Tower.
1. Understand the Problem:
- We start with a piece of paper that is 0.1 mm thick.
- We want to fold this paper until its thickness is at least the height of the Eiffel Tower, which is 324,000 mm (324 meters).
2. Folding the Paper:
- Each time you fold the paper, its thickness doubles. This means after one fold, the thickness is [tex]\(2 \times 0.1\)[/tex] mm, after two folds, [tex]\((2^2) \times 0.1\)[/tex] mm, and so on.
- We need to continue this folding process until the paper’s thickness is at least 324,000 mm.
3. Determine the Number of Folds:
- We start with a thickness of 0.1 mm.
- On each fold, double the thickness and count how many folds it takes for the thickness to be equal to or exceed 324,000 mm.
4. Result:
- After 22 folds, the thickness of the paper will be 419,430.4 mm, which is greater than 324,000 mm.
- Therefore, you need to fold the paper 22 times to make it reach or exceed the height of the Eiffel Tower.
This step-by-step process shows how folding a thin piece of paper repeatedly can achieve impressive thickness, sufficient to surpass the height of notable structures like the Eiffel Tower.
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Rewritten by : Barada
