So our final answer can only the 3 significant figures.

So let's do seven hundred let me switch colors.

Just give some indication if it's right.

AB Yes?

Another three digit (Applause)

Four Digit

Two Digit

But, before we begin, we're going to try another little magic trick.

By contrast, your place of birth is more likely to include letters rather than numbers.

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

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

Two Digit Apostrophe

One digit at a time, I shall try and determine the digit you've left out.

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

If you just add these two numbers up, and let's say these are measurements, so when you make it (these are clearly 3 significant digits) we're able to measure to the nearest hundreth.

I count all of the digits, all of the leading 0's behind the decimal, including the leading non zero numeral.

We'll end up getting 28, 18, and 21.

So what you do, is you just have to think, well, how many digits are there to include the leading numeral in the value?

It's one, two, three.

This decimal tells you that all three of these are significant.

I'll just call them out as they're called out to me.

321 is 103,041.

I have to round this to 3 significant figures.

Let's not mess around.

So just as a quick example, if I have 2.00 times (I don't know) 3.5 my answer over here can only have 2 significant digits

And the way to think about this

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

18 of them lined up in an auditorium.

Again, we have a constructor, which takes the zip code which is a string consisting out of five digits.

Well do some three digit numbers.

20 digits or less, sit down.

Call out a single digit that will be the five digit number that I will try to square, go ahead.

Consider this spiffy, new finite state machine.

Times seven hundred ninety eight.

Based on the examples in the last video

18. So it goes to this lady here.

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.

Only if the answer to one of these has more than one digit in it.

Nothing to carry.

If each of you would call out a single digit between zero and nine, that will be the four digit number that I'll square.

These 4 values take the names N11, N10, N01, and N00, respectively.

So you should have as an answer either a six digit or probably a seven digit number.

(And we'll talk more about digits in a future video.)

And instead of squaring it this time,

For example, over here they regular that your birth date be specified as two digits, two more digits, and four more digits corresponding the month, the day, or the year.