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At the beginning of the week,

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Stewart's checking account had a balance

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of negative fifteen dollars and eight cents.

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On Monday morning he deposited a check

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for four hundred twenty-six dollars and ninety cents.

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00:00:12,733 --> 00:00:15,488
On Tuesday morning he deposited another check

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for [one] hundred dollars.

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How much was in Stewart's checking account

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after the second deposit, so after both of these deposits right over here?

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So, he starts off with a negative balance,

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so a negative balance means

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that he's overdrawn his checking account.

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He actually owes the bank money now.

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Luckily, he's now going to put some money in his bank account,

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so he'll actually have a positive balance in his checking account.

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So, he starts off with negative fifteen dollars and eight cents,

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and then to that, he adds

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four hundred twenty-six dollars and ninety cents.

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And then he adds another hundred dollars.

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So, he started off with negative fifteen dollars and eight cents,

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and then to that, he adds four hundred twenty-six dollars

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and ninety cents and a hundred dollars.

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So, that's five hundred and twenty-six dollars and ninety cents.

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And so, how much is he going to have in his bank account?

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He started, owing fifteen dollars and eight cents,

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and then he's going to add

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five hundred twenty-six dollars and ninety cents.

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So, one way to visualize it,

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is if you think about it on the number line,

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and this is zero right over here.

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He starts off at negative fifteen-point-zero-eight,

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but then he's going to add

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five hundred and twenty-six dollars [and ninety cents].

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This is fifteen-point-zero-eight to the left,

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that's how much he owes,

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and to that, he's going to add

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five hundred and twenty-six [dollars and ninety cents].

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So, I'm not drawing this to scale,

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but to that he's going to add

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five hundred and twenty-six dollars and ninety cents.

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So, the amount that he's going to be in the positive

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is going to be

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five hundred twenty-six dollars and ninety cents,

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minus the fifteen-point-zero-eight.

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And, so, essentially it's going to be this length right over here,

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that's how much he's going to be in the positive,

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That's going to be five hundred twenty-six dollars and ninety cents,

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minus fifteen dollars and eight cents.

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So, that's going to be--

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and we can even just rewrite this

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so that it actually looks exactly like that.

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That's the exactly the same thing as

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five hundred twenty-six dollars and ninety cents,

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minus--

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minus--

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adding a negative is the same thing

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as subtracting a positive--

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minus fifteen-point-oh-eight.

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--I will do this in another color--

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Five hundred and twenty-six dollars and ninety cents,

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minus fifteen dollars and eight cents.

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Let's see, zero is less than eight,

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let's make that a ten and borrow from this nine,

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so that becomes an eight--

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or I guess you could say, we are regrouping--

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Everything up here is larger than everything there,

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so ten minus eight is two,

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eight minus zero is eight,

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we have our decimal.

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Six minus five is one.

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Two minus one is one,

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and then you have five minus nothing.

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So, he is left

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with five hundred eleven dollars and eighty-two cents,

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after his second deposit.