Rational number word problem: checking account

at the beginning of the week Stuart's checking account had a balance of negative fifteen dollars and eight cents on Monday morning he deposited a check for four hundred twenty six dollars and ninety cents on Tuesday morning he deposited another check for a hundred dollars how much was in Stuart's checking account after the second deposit so after both of these deposits right over here so he starts off with a negative balance so a negative balance means that he's overdrawn his checking account he actually owes the bank money now luckily he's not going to put some money in his bank account so he'll actually have a positive balance in his checking account so he starts off with negative fifteen dollars and eight cents and then to that he adds four hundred and twenty six dollars four hundred twenty six dollars and ninety cents and then he adds another hundred dollars and then he adds another hundred dollars so he started off with negative fifteen dollars and eight cents and then to that he adds he adds four hundred twenty six dollars ninety cents and a hundred dollars so that's five hundred and twenty-six dollars and ninety cents and so how much is he going to have in his bank account he started owing fifteen dollars and eight cents and then he's going to add five hundred twenty six dollars and ninety cents so one way to visualize it is if you thought think about it on a number line if this is zero right over here he starts off he's going to start off at negative fifteen point zero eight but then he's going to add five hundred and twenty six dollars then he's going to add so this right over here this is fifteen point zero eight to the left that's how much she owes and to that he's going to add five hundred and twenty six so I'm not drawing this to scale but to that he is going to add five hundred and twenty six dollars and ninety cents so the amount that he's going to be in the positive is going to be five hundred twenty six dollars and ninety cents minus the fifteen point zero eight it's essentially going to be this length it's going to be this length right over here that's how much he's going to be in the positive and that's going to be five twenty six ninety five twenty five hundred twenty six dollars and ninety cents - $15.08 so that's going to be and then we can even just rewrite write this so it actually looks exactly like that that's exactly the same thing is 500 $26.90 - - adding a negative is the same thing as subtracting a positive - 15 0.08 and this is I will do this in another color 526 dollars and 90 cents - fifteen dollars and eight cents let's see zero is less than eight let's make that a ten and borrow from this nine so that becomes an eight or I guess you could say we're regrouping and now everything up here is larger than everything there so 10 minus 8 is 2 8 minus 0 is 8 we have our decimal 6 minus 5 is 1 2 minus 1 is 1 and then you have 5 - nothing so he is left with 511 dollars and 82 cents after his second deposit