00:01
Okay, so our question wants us to estimate the order of magnitude for the following four scenarios, a through d.
00:09
So the first one, we're going to go ahead and i have written the numbers that we want to estimate the order of magnitude in red, and i'm going to go ahead and solve it here in black.
00:17
So for the first one, part a, 2 ,800, we're going to go ahead and rewrite that by moving the decimal place over 1, 2, 3.
00:26
So this is going to be 2 .8 times 10 to the third.
00:33
Okay.
00:36
But 2 .8 can be approximated as 1 times 10 to the third, which means the order of magnitude is just 10 to the third.
00:59
That's the solution to the first one.
01:03
Let's rewrite that in a way that's a little more legible.
01:12
Go ahead and box that in.
01:15
Okay.
01:16
And then let's go ahead and move on and solve part b.
01:19
Part b, we can go ahead and move this over one decimal place and rewrite this as 8 .630, again, times 10 to the third.
01:36
But 8 .6 can be rounded up to 10 if we're approximating, and that is 10 times 10 to the third, which again, that decimal place here could be moved over 1, and then that is going to give us an order of magnitude of 10 to the 4th.
01:58
Go ahead and box that in as our answer to part b...