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How many stars and galaxies are there in the universe?

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The answer has to be estimated; for many reasons no one can ever know the exact numbers, whatever that might mean in this context. Estimates of the number of galaxies in the universe range from about 170 billion to one trillion. One trillion is one thousand millions. Estimates of the number of stars range from around 70 sextillion to 300 sextillion. Seventy sextillion is 7 followed by 22 zeros. 300 sextillion is 3 followed by 23 zeros. Some estimate as high as 10 to the power 24, which is one followed by 24 zeros. You might think that 22, 23 and 24 are small numbers here, until you begin to consider that every single one of them represents a power of ten. The number is far beyond anything that any human mind can grasp on anything close to a practical level.
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How many galaxies are there in the universe?

It has been suggested that "the total number of stars in the universe is greater than all the grains of sand on all the beaches on Earth." There may be more stars, as there a

How do you know how many stars and galaxies in the universe?

We guess. Really. There's no way to actually COUNT the stars in the Milky Way; the small ones are too small and dim to see if they are more than a few dozen light years away