Scientific notation and why it’s necessary

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Because every science course I’ve taken so far has left me even more confused than ever.

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Anonymous 0 Comments

Why it’s necessary. Here is the mass of the sun:

198850000000000000000000000000 kg

Number of atoms in a gallon of water:

300000000000000000000000000

The Width of an atom

0.000000001 m

And I might be wrong. I might have miscounted the number of zeros. There’s a lot there.

It’s far easier to say the mass of the sun is 1.9885×10^30 That means to take 1.9885, and move the decimal right 30 times before you read it out. No accidentally dropping a zero.

I could write that same number many ways, depending on what I want to compare it to.

19.885 x10^29

198.85 x10^28

etc.

The earth has a mass thats ~6×10^24 kg.

So if I write the mass of the sun as

19885×10^24 cmpared to earths

………6×10^24 it’s easy to see how much bigger the sun is compared to earth. Sort of like saying 3 “million” rather than 3,000,000

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