0:00
Hi.
00:02
So this question is just asking you to express these numbers and scientific notation that they give you.
00:07
So first let's go over what scientific notation is.
00:10
Scientific notation is basically just a notation where you move the decimal point to after the first digit and before the second one.
00:21
And you multiply that number by 10 to the whatever power to kind of get it to whatever value you want it to be.
00:28
So to make that a little more clearly, let's go over the first.
00:30
First question and kind of walk through this together.
00:34
So like i said, scientific notation is where you want to get the decimal point after the first digit and before the second one.
00:41
So we kind as you can see, we kind of move it as a point point here, right? but as you can see, these two numbers are not equal, right? 0 .0027 is not equal to 2 .7, right? so we need to multiply this number by something to get it equal to this side, right? so what are you going to have to do? we're going to have to multiply by 10 to the something power, right? and how do we know that power? how do we know that exponent? well, we have to count the decimal points, right? count how much it moves to get to 2 .7 and multiply it by that, right? so let's count it.
01:17
We have one, two, three, four, five, six, seven, eight.
01:24
It has moved eight spots to the right to get to 2 .7.
01:27
And since it's moving to the right, it's negative.
01:30
So 10 to the negative 8.
01:36
So 2 .7 times 10 to the negative 8 equals this number over here.
01:42
Okay, so let's go over another one.
01:44
We have 356.
01:46
So again, we want to move the decimal point to right after that first number, so 3 .56.
01:51
Now, how do we have to multiply this by to get it equal? we just have to count of decimals, right? and this time, since the decimal needs to move to the left, we're going to have a positive value for our exponent.
02:05
So it's going to be 1, 2, okay, to get it to 3 .56...