Significant figures

3 significant figures.

I have 4 significant figures over here, I have 2 significant figures here,

If one of these had 3 significant figures and this have 2 significant figures,

Now we're cool with the significant figures.

So in this situation I have 3 significant figures here, and over here I have 3 significant figures.

This time it worked out, cause this also has 2 significant figures, this also has two significant figures.

Then, in this situation this obviously over here has 4 significant figures, this over here has 3 significant figures.

So over here you have three significant figures.

So this is three significant figures over here.

I have to round this to 3 significant figures.

I have to round it to 3 significant figures,

So over here both of these have 3 significant figures.

So our final answer can only the 3 significant figures.

Let's see if we can learn a thing or two about significant figures, sometimes called significant digits.

So I can only have 3 significant figures in my product.

I can have only have 2 significant figures in my product.

Look, my area should not have more then 3 significant figures.

You don't say, Hey, this can only have two significant figures.

So in this situation once again we have three significant figures.

lets take a situation where, significant figures will or might become relevant.

But in our answer we don't want to have 3 significant figures.

The sum, or the difference whatever you take, you don't count significant figures

I have 3 significant figures over here, there would be a temptation to say,

I was just saying a general way to think about precision in significant figures.

So you can always rule out when you're thinking about significant figures the leading zero's.

The general rule of thumb is whatever the minimum number of significant figures in any of the numbers calculated, that is how many significant figures... that is the least number is the number of significant figure in your final quotient or product or answer.

Well, if you didn't care about significant figures or precision, you would just add them up.

So on this first thing right over here, the significant figures are this seven zero zero.

Since we did a bunch of multiplying and dividing we have to have the minimum, whatever is the minimum significant figures of the things we computed with, that's how many significant figures we can have in our final answer.

I make sure that it has no more significant figures then either of the numbers that I multiplied.

Figures

Figures.

We cared about how many tiles will fit onto this bathroom floor, now the significant figures come into play.

Now that we have a decent understanding of how to figure out many significant figures that we are dealing with

I have 3 significant figures over here, and since we did just a bunch of multiplying and dividing, in general...

We'll make this clear this has 2 significant figures, but this is 3 the 1, the 0 and the 1.

Closed figures

Open figures

That figures.

But I think when you look over here it makes a lot more sense why you only have three significant figures.

And that let's you know that there was actually five digits of precision that we actually go to five significant figures.

It's either significant or it's not significant.

But when you add, when you add, or subtract, now these significant digits or these significant figures don't matter as much as the actual precision of the things that you are adding.

let's see if we can come up with some rules of thumb for figuring out how many significant figures, or how many significant digits, there are in a number or a measurement.