Okay in this video episode we're going to crack the code to transforming scientific
notation into normal, numerical notation and we're going to talk about 3 examples.
Here's the first one appearing here to you, 5.037 x 10 to the power of 3, let's write
it in normal numbers.
So what will we do, well the first thing you want to do is take this number right here
5.037, that's the first part that's between 10 and 1, that's the normal digit, so let
me write that down.
So that will be 5 . 0 3 7, then what we want to do move the decimal place that many times,
it's 10 to the power of 3, the exponent power is 3, which way are we going to move it, we're
going to move it to the right, because it's going to get bigger isn't it.
So let's move it over to the right and I'm going to fix that 7, move it to the right
3 times, so like that...
3 places okay, one, two, three, there's the decimal place, that's where it goes, which
means the number is 5 0 3 7, five thousand and thirty seven, that is equivalent to the
scientific notation of 5.307 x 10 to the power of 3.
Let's do another example so we can gain even more clarity, this time, we're going the other
way, you have a negative power here, the negative exponent is negative 4, which means we're
going to make the decimals move over or the places over that way to your left.
so the first thing you might want to do is take this number over here, just drag and
drop it over there, so let's do that, so that will 8.91, let me just put a little border
over here.
Now negative 4 means that way, so it says negative 4, so I'm going to put 4 zeros, I
like to put 4 like that and I'm going to move that decimal place that way 4 times, going
that way 4 places to the left.
Now let's go ahead and count now 4 places that's where we start, one two, three, four,
then your decimal place goes there, let me just go and write that out again, so now it
will become 0 . 0 0 0 8 9 1 and that is in normal, numerical notation.
Let's do another example, this time with maybe more movements, it's more places.
As I expose it, 7.
3 x 10 to the power of negative 9.
We have negative again, which way is the decimal place going to move and it's going to move
over this way because we're going from scientific to normal numerical numbers.
so the first thing you want to do is take that number there and that's 7.3, that's the
number that's between 1 and 10, with this criteria, then we're going to move to this
way aren't we.
So to the left, why is it to the left?, It's a negative 9, so it's really going to be a
small number with lots of zeros and decimal places.
So let's move over to the left because it's negative 9, I like to put 9 zeros to the left,
one, two, three, four, five, six, seven, eight, nine zeros, let's count nine times.
So it's negative 9 starting at that decimal place, one, two, three, four, five, six, seven,
eight, nine, and your new decimal place goes right there, so if I was to rewrite this again,
normal numerical notation, 0 . one, two, three, another three and two and two and 7 3, so
0.three zeros, three zeros, two zeros, 7 3 and there you go, thanks for watching.