0:00:00.050,0:00:01.850
At the beginning of the week,

0:00:01.850,0:00:03.783
Stewart's checking account had a balance

0:00:03.783,0:00:07.200
of negative fifteen dollars and eight cents.

0:00:07.200,0:00:09.800
On Monday morning he deposited a check

0:00:09.800,0:00:12.733
for four hundred twenty-six dollars and ninety cents.

0:00:12.733,0:00:15.488
On Tuesday morning he deposited another check

0:00:15.488,0:00:17.160
for [one] hundred dollars.

0:00:17.160,0:00:19.692
How much was in Stewart's checking account

0:00:19.692,0:00:24.861
after the second deposit, so after both of these deposits right over here?

0:00:24.861,0:00:27.237
So, he starts off with a negative balance,

0:00:27.237,0:00:28.200
so a negative balance means

0:00:28.200,0:00:31.131
that he's overdrawn his checking account.

0:00:31.131,0:00:32.017
He actually owes the bank money now.

0:00:32.017,0:00:34.918
Luckily, he's now going to put some money in his bank account,

0:00:34.918,0:00:38.615
so he'll actually have a positive balance in his checking account.

0:00:38.615,0:00:43.467
So, he starts off with negative fifteen dollars and eight cents,

0:00:43.467,0:00:45.302
and then to that, he adds

0:00:45.302,0:00:49.889
four hundred twenty-six dollars and ninety cents.

0:00:49.889,0:00:51.867
And then he adds another hundred dollars.

0:00:52.317,0:00:59.791
So, he started off with negative fifteen dollars and eight cents,

0:00:59.791,0:01:03.507
and then to that, he adds four hundred twenty-six dollars

0:01:03.507,0:01:04.867
and ninety cents and a hundred dollars.

0:01:04.867,0:01:09.358
So, that's five hundred and twenty-six dollars and ninety cents.

0:01:09.358,0:01:11.473
And so, how much is he going to have in his bank account?

0:01:11.473,0:01:14.838
He started, owing fifteen dollars and eight cents,

0:01:14.838,0:01:15.674
and then he's going to add

0:01:15.674,0:01:18.832
five hundred twenty-six dollars and ninety cents.

0:01:18.832,0:01:20.086
So, one way to visualize it,

0:01:20.086,0:01:23.000
is if you think about it on the number line,

0:01:23.250,0:01:25.798
and this is zero right over here.

0:01:25.798,0:01:31.000
He starts off at negative fifteen-point-zero-eight,

0:01:31.000,0:01:32.160
but then he's going to add

0:01:32.160,0:01:37.222
five hundred and twenty-six dollars [and ninety cents].

0:01:37.222,0:01:40.733
This is fifteen-point-zero-eight to the left,

0:01:40.733,0:01:41.817
that's how much he owes,

0:01:41.817,0:01:43.631
and to that, he's going to add

0:01:43.631,0:01:46.333
five hundred and twenty-six [dollars and ninety cents].

0:01:46.333,0:01:47.950
So, I'm not drawing this to scale,

0:01:47.950,0:01:49.203
but to that he's going to add

0:01:49.203,0:01:54.358
five hundred and twenty-six dollars and ninety cents.

0:01:54.358,0:01:55.962
So, the amount that he's going to be in the positive

0:01:55.962,0:01:57.284
is going to be

0:01:57.284,0:01:59.420
five hundred twenty-six dollars and ninety cents,

0:01:59.420,0:02:02.021
minus the fifteen-point-zero-eight.

0:02:02.021,0:02:03.275
And, so, essentially it's going to be this length right over here,

0:02:03.275,0:02:09.726
that's how much he's going to be in the positive,

0:02:09.726,0:02:13.733
That's going to be five hundred twenty-six dollars and ninety cents,

0:02:13.733,0:02:16.510
minus fifteen dollars and eight cents.

0:02:16.510,0:02:17.467
So, that's going to be--

0:02:17.467,0:02:20.225
and we can even just rewrite this

0:02:20.225,0:02:21.851
so that it actually looks exactly like that.

0:02:21.851,0:02:24.219
That's the exactly the same thing as

0:02:24.219,0:02:26.495
five hundred twenty-six dollars and ninety cents,

0:02:26.495,0:02:27.076
minus--

0:02:27.076,0:02:27.656
minus--

0:02:27.656,0:02:31.928
adding a negative is the same thing

0:02:31.928,0:02:32.883
as subtracting a positive--

0:02:32.883,0:02:35.267
minus fifteen-point-oh-eight.

0:02:35.267,0:02:37.200
--I will do this in another color--

0:02:37.200,0:02:40.200
Five hundred and twenty-six dollars and ninety cents,

0:02:40.200,0:02:43.956
minus fifteen dollars and eight cents.

0:02:43.956,0:02:46.557
Let's see, zero is less than eight,

0:02:46.557,0:02:48.972
let's make that a ten and borrow from this nine,

0:02:48.972,0:02:50.551
so that becomes an eight--

0:02:50.551,0:02:51.619
or I guess you could say, we are regrouping--

0:02:51.619,0:02:54.173
Everything up here is larger than everything there,

0:02:54.173,0:02:56.356
so ten minus eight is two,

0:02:56.356,0:02:58.445
eight minus zero is eight,

0:02:58.445,0:02:59.421
we have our decimal.

0:02:59.421,0:03:01.603
Six minus five is one.

0:03:01.603,0:03:04.111
Two minus one is one,

0:03:04.111,0:03:06.067
and then you have five minus nothing.

0:03:06.067,0:03:07.640
So, he is left

0:03:07.640,0:03:10.733
with five hundred eleven dollars and eighty-two cents,

0:03:10.733,9:59:59.000
after his second deposit.