Two Digit

Two Digit Apostrophe

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

Four Digit

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

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

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.

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

So let's look for a two digit number in the string July 28, 1921.

So we're gonna investigate that in more detail on this next slide.

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

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

This was 3, this is 2.

So our final answer can only the 3 significant figures.

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

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

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.

2 times 3.5 is 7, and we can get to 1 zero to the right of the decimal.

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.

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

Let's not mess around.

Just give some indication if it's right.

Well, if you think about it, there's a pretty natural way to break a number with a bunch of digits into a couple numbers with fewer digits.

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.

So everything we've done so far are a bunch of digits times a one digit number.

AB Yes?

Another three digit (Applause)

Based on the examples in the last video

Specifically, the relevant products in star, namely AC,

18. So it goes to this lady here.

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.

Consider this spiffy, new finite state machine.

So let's say we want to multiply thirty six times instead of putting a one digit number 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.

So if we're going to to think about whether 4 is divisible, you just look at the last two digits.

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, ooh, 13. How spooky!