# Writing a paper on scientific notation

Orders of magnitude Video transcript It always helps me to see a lot of examples of something so I figured it wouldn't hurt to do more scientific notation examples.

Each time they roll the die, they are rolling a power of Do several examples with them and have them write the examples on the journal page for 1 and 2. This is just good for powers of Scifntific is the scientific notation for 0 - homework market. You will get Avogadro's number.

So I'm just going to write a bunch of numbers and then write them in scientific notation. And hopefully this'll writing a paper on scientific notation almost every case you'll ever see and then at the end of this video, we'll actually do some computation with writing a paper on scientific notation to just make sure that we can do computation with scientific notation.

Let me just write down a bunch of numbers. That's my first number. My second number is I'm just arbitrarily stopping the zeroes. The next number is 0. If I keep saying 0, you might find that annoying. The next number I'm going to do is the number The next number I'll do -- I'm having a lot of 7's here.

And then let's just do one more just for, just to make sure we've covered all of our bases. Let's say we do and then let's throw some -- an arbitrary number of 0's there.

So this first one, right here, what we do if we want to write in scientific notation, we want to figure out the largest exponent of 10 that fits into it. So we go to its first non-zero term, which is that right there.

notahion We count how many positions to the writing a paper on scientific notation of the decimal point we have including that term. So we have one, two, three. So writing a paper on scientific notation going to be equal to this. So it's going to be equal to 8 -- that's that guy right there -- 0. So everything after that first term is going to be behind the decimal. Another way to think of it: Each of these is thousands.

### Difficulty paper a notation on writing scientific would always

Let's do this one. Let's see how many 0's we have. We have 3, 6, 9, So we want to do -- again, we start with our largest term that we have. Our largest non-zero term. In this case, it's going to be the term all the way to the left. So it's going to be 7. It's going to be equal to 7. Well it's going to be times 10 to the 1 with this many 0's. So how many things? We had a 1 here. Then we had 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 0's. I want to be very clear.

You're not just counting the 0's. You're counting everything after this first term right there. So it would be writing a paper on scientific notation to a 1 followed by 12 0's. So it's times 10 to the twelfth. Let's do this one right here. So we go behind our decimal point. We find the first non-zero number. It's going to be equal to 5. There's nothing to the right of it, so it's 5. But it's 5 times and then how many numbers to writing a paper on scientific notation right, or behind to the right of the decimal will do we have?

I've done the computation. But let's put it into scientific notation. So I'm just going to write a bunch of numbers and then write them in scientific notation. Then the power on 10 has to be — But this part is pretty easy to calculate. Scientific notation is, essentially, a method for writing really big or really small numbers.

We have 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and we have to include this one, So what's the largest 10 that goes into this? Well, will go into this. And you could figure out or 10 squared by saying, "OK, this om our largest term. So this is going to be equal to 7. Now we have this character right here. Wgiting our first non-zero term? It's that one right there, so it's going to be 6 times and then how many read article do we have to the right of the decimal?

We have only one. So times 10 writing a paper on scientific notation the minus 1. So let's take our largest value right there. We have our 8. This is going to be 8. So we have 1, 2, 3, 4, 5, 6, 7, 8, 9, I think you get the idea now. And more than just being able to calculate this, which is a good skill by itself, I want you ariting understand why this is the case.

Hopefully that last video explained it. And if it doesn't, just multiply this out. Maybe you could try it with something smaller than 10 to the Maybe 10 to the fifth. And well, you'll get a different number but you'll end up with five digits writing a paper on scientific notation the 8.

But anyway, let me do a couple more computation examples. Let's say we had the numbers -- let me just make something really small -- 0. Let me make a large number. Let's say I have that number and I want to multiply it. I want to multiply it by -- let's say I have a really large number -- 3 2 -- I'm just going to throw a bunch of 0's here. I don't know when I'm going to stop.

Let's say I stop there. So this one, you can multiply out. But let's put it into scientific notation. One, it'll be easier to represent these numbers and then hopefully you'll see that the multiplication actually gets simplified as well. So this top guy right here, how can we write him in scientific notation? It would be 6. I have to include the 6. So times 10 to the minus 6.

And what can this one be written as? This one is going to notqtion 3. And then you count how many digits are after the 3. So if we multiply these two things, this is equivalent to 6 -- let me do it in a different color -- 6. Which we saw in the last video is equivalent to 6. I'm just changing the order of our multiplication.

### Represent a paper writing scientific notation on writers

Times 10 to the minus 6 times 10 to the 11th power. And now what will this be equal to? Well, to do this, I don't want to use a calculator. So let's just calculate it. Let's ignore the decimals for a second.

### Writing scientific notation a paper on you looking

We'll worry about that at the end. So 2 times 4 is 8, 2 times 6 is Nowhere to carry the 1, so it's just Put a 0 down there. You've got a 1 there, so it's You had them up and you papdr 8, 4, 1 plus 9 is Now, we just have to count the numbers behind the decimal point. We have article source number there, we have another number there.

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