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Mathematics

If you could fold a piece of paper in half 50 times, its' thickness will be 3/4th the distance from the Earth to the Sun.

Answer

true

Explanation

True. Paper about 0.1 mm thick (1×10^-4 m) doubled 50 times grows by 2^50 ≈ 1.13×10^15. Thickness = 1×10^-4 m × 1.13×10^15 ≈ 1.13×10^11 m. The average Earth–Sun distance (1 AU) is ≈1.496×10^11 m, so the folded stack would be about 0.75 AU—roughly three-quarters of the way to the Sun. This striking result showcases exponential growth: repeated doubling quickly overwhelms intuition. You can remember it with the rule of thumb 2^10 ≈ 1000; five sets of 10 doublings (50 folds) give about 10^15 growth. In reality, you can’t reach 50 folds—material strength and sheet size limit ordinary paper to around 7–8 folds (the record with special techniques is 12). It’s the same surprising math behind the “chessboard rice” legend and why compound interest grows so powerfully.

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