on a segment of 25 cm choose a scaling to represente distances going from picometer to light year

place on the segmeent

the radius of the hydrogen atom

the distance between earth and moon

the distance between cairo and alexandria
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Your best plan is to use a logarithmic scale, so that it starts at 1. The next division (say, at 1cm) represents 10, the next 100, then 1000, up to 10^25, so each division is the next power of 10. 1 could represent the radius of the H atom. On this scale the Earth-Moon distance would be about 19. Cairo-Alexandria is about 15.6. Earth's diameter is about 17.4. 1 light-year would be off-scale about 26.2. 21.5 is about the radius of Earth's orbit. 10.5 would be the height of a human being and 6.4 the diameter of a human egg cell. 2.5 to 3.5 the length of a virus, and 3.7 for bacteria. The estimated size of the universe would be around 37.2. The subdivisions of the main divisions: 0.1 to 0.9: 1.26, 1.58, 2, 2.51, 3.16, 3.98, 5.01, 6.31, 7.94 multiplied by the previous power of 10. So 10.5 is about 31,600,000,000 times the radius of the H atom.

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