WEBVTT Kind: captions; language: en-us

NOTE
Treffsikkerhet: 91% (HØY)

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In this video I want to explain exponential. Exponential notation is a way to write 

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numbers, so they don't take up too much space and we see it often in statistics programs when there 

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are very large or very small numbers involved. 

NOTE
Treffsikkerhet: 89% (HØY)

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So you may have seen numbers like these, that have the letter e in them. 

NOTE
Treffsikkerhet: 91% (HØY)

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These numbers are actually very easy to interpret if you know that e means move the decimal point. 

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Actually, it stands for the word exponent. But for us, it means move the decimal point. You should 

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move the decimal point as many places as the following number. So five places here or eight places 

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here. 

NOTE
Treffsikkerhet: 91% (HØY)

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If there is a minus sign, like here, then you should move it to the left. So you end up with a very 

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small number. If there is a plus sign or nothing like here, then you move it to the right, so you 

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end up with a very large number. 

NOTE
Treffsikkerhet: 91% (HØY)

00:01:08.900 --> 00:01:18.050
So let us look at this number, which number is it? Let's follow the rules. There is no sign here, 

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which is the same as a plus and it means we should move the decimal point to the right. 

NOTE
Treffsikkerhet: 91% (HØY)

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So the first thing we can do is to add a bunch of zeroes so that we have enough. This doesn't change 

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our number, it's still the same number written in this way, but then we're going to start moving. 

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So we have to move the decimal point by five places to the right. So we start with this one, which 

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is the same and then we move 1 2 3 4 5. This is our number. We discard the 

NOTE
Treffsikkerhet: 91% (HØY)

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unneeded zeros, so any zeros after the decimal point we throw out and this is it. 

NOTE
Treffsikkerhet: 79% (HØY)

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So this number is this number. It's just a different way to write it. And in fact, if we take into 

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account that you can have a lowercase or uppercase E. The plus sign is optional. 

NOTE
Treffsikkerhet: 91% (HØY)

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And you can also have some zeros before the exponent, in order to keep constant the amount of space 

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taken by numbers in certain statistical programs. Then all of these numbers down here are exactly 

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the same. They're just different ways, different variants, of writing this one. 

NOTE
Treffsikkerhet: 91% (HØY)

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What about this number? Let's follow the same steps. First of all, we see there is a minus sign this 

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time. So we have to move the decimal point to the left. 

NOTE
Treffsikkerhet: 82% (HØY)

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So, we had a bunch of zeros to the left of our number without changing it, and then we move the 

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decimal point. So this is our starting number and we move one, two, three, four, five, six, seven, 

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eight. That's our number. We have an extra zero there, which we throw out and this is what were left 

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with. So, this is just a way to write

NOTE
Treffsikkerhet: 85% (HØY)

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this one and again, taking into account variation that we may encounter. These are all 

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exactly the same number.