Place Value 2 Place Value 2
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- Write six hundred forty-five million five hundred
- eighty-four thousand four hundred
- sixty-two in standard form.
- So let's tackle this piece by piece.
- So the first part we have six hundred
- and forty-five million.
- So let's think about that.
- So we have six hundred and forty-five.
- But it's not just six hundred forty-five.
- We have six hundred forty-five millions.
- So we could view that as 645 times 1,000,000.
- One million is one followed by six zeroes.
- So this piece right here is this right over here.
- That is six hundred and forty-five million.
- And what is that when we write it out?
- If we were to multiply this out, this is equal to-- it
- would be 645 times this 1 with six zeroes behind it.
- So this would be equal to 600-- I'll write it like this.
- This is equal to 645, and then we have our six zeroes.
- One, two, three, one, two, three.
- That's just this part of the number.
- And I'm going to do it kind of slow and do all of the
- different parts of the problem, but once you get some
- practice, you'll find that these are a bit second nature,
- and you won't have to go through all of these steps.
- You'll just be able to write the number.
- Now, let's move on to the next part.
- We have five hundred and eighty-four.
- Let me write that down.
- Well, I'll write it like this.
- 584 thousand.
- So let me write the thousand.
- So 584 thousand.
- So it's 584 times 1,000.
- And what's that going to look like?
- So that's this whole part right here.
- So 584 times 1,000 is equal to what?
- Well, it's going to be 584 with three zeroes behind it,
- or you could view it as 584 times the 1, and then you're
- going to have three zeroes in the final answer.
- So it's going to be 584,000.
- We have our three zeroes at the end.
- 584, three zeroes.
- So that's that part.
- And then finally, we have four hundred sixty-two, and that's
- just 462, straight up.
- You could view it as 462 ones.
- So then you just have 462, which
- obviously equals just 462.
- Now our number is all of these combined.
- It is 645,000,000 and 584,000 and 462.
- So one way to think about it is that you could add these
- three numbers.
- So if we were to add them, we get 645,584,462.
- Now, I said it'll become a little bit of second nature to
- you in a little bit, and the way to think about that, the
- easiest way to think about that, is millions will have
- six zeroes behind them, thousands will have three
- zeroes behind them, and just regular numbers have no zeroes
- behind them.
- So what you can do when you kind of want to learn it
- second nature, you'll just look at the six hundred and
- forty-five million, so you'll write 645, and you'll kind of
- keep in the back of your mind that you're going to have to
- have six more digits to the right of this.
- And then you say five hundred and eighty-four thousand, so
- then you have your five hundred and eighty-four
- thousand, so then you write that down, 584,000, keeping in
- mind that you're going to need three digits to
- the right of that.
- And so if they didn't tell us 462, we would just put three
- zeroes here, and that would also fulfill the six zeroes we
- need behind 645,000,000.
- But then they tell us 462, so we just write that right here.
- 462.
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