![]() The multiplication actually gets simplified as well. Represent these numbers and then hopefully you'll see that Let's say I have a really large number - 3 2 - I'm just going Let's say I have that numberĪnd I want to multiply it. let me just make something really small - 0.0000064. And well, you'll get aĭifferent number but you'll end up with fiveĭigits after the 8. With something smaller than 10 to the 10. Times 10 to the 10 and you will get this number. To calculate this, which is a good skill by itself, I want Is a 0 - times 10 to the - we just count how many This is going to be 8.23 - weĭon't have to add the other stuff because everything else Here just to make this a little easier to look at. That makes a lot of senseīecause that's essentially equal to 6 divided by 10īecause 10 to the minus 1 is 1/10 which is 0.6. To the right of the decimal? We have only one. It's going to be 6 times and then how many terms do we have What's our first non-zero term? It's that one right there, so Scientific notation, so I'll write times 10 squared. So this is going to be equal toħ.23 times, we could say times 100, but we want to stay in We have two 0's behind it because we can say 100 And you could figure out 100 orġ0 squared by saying, "OK, this is our largest term." And then That goes into this? Well, 100 will go into this. Little overkill to write this in scientific notation, but it Many numbers to the right, or behind to the right of theĭecimal will do we have? We have 1, 2, 3, 4, 5, 6, 7,Ĩ, 9, 10, 11, 12, 13, and we have to include this one, 14. It, so it's 5.00 if we wanted to add some precision to it. You're counting everythingĪfter this first term right there. It's going to be equal toħ.012 times 10 to the what? Well it's going to be times 10 We start with our largest term that we have. Thousands, right? Each of these is thousands. So everything after thatįirst term is going to be behind the decimal. To 8 - that's that guy right there - 0.52. The right of the decimal point we have including that term. Non-zero term, which is that right there. To figure out the largest exponent of 10 that What we do if we want to write in scientific notation, we want ![]() Let's throw some - an arbitrary number of 0's there. ![]() Just for, just to make sure we've covered all of our bases. Right here, there's a decimal right there. Let me just write downĪ bunch of numbers. Make sure that we can do computation with Video, we'll actually do some computation with them to just ![]() And hopefully this'll coverĪlmost every case you'll ever see and then at the end of this So I'm just going to write aīunch of numbers and then write them in scientific notation. Of examples of something so I figured it wouldn't hurt toĭo more scientific notation examples. ![]()
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