Question 740232: Anyone willing to help me wit this problem?
Find the difference:
Two thousand six hundred and one minus seven hundred and twenty-seven.
Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! I like to think of numbers as money that comes in ones, tens, hundreds and thousands bills, with no in-between denominations.
Two thousand six hundred and DISABLED_event_one= 2 thousands + 6 hundreds + 0 tens + 1 DISABLED_event_one= 2000+600+00+1=2601
seven hundred and twenty-seven = 7 hundred + 2 tens + 7 DISABLED_event_ones= 700+20+7=727
A TRICK THAT OFTEN WORKS FOR ME:
I can deal with very advanced college math, but I often make mistakes when dealing with basic arithmetic.
When I have to do a difficult subtraction like that, I change the problem like this.
If I had to pay $727 and I had $2601 in my pocket, I would not take all my money out.
I would only take $1000 and keep the other $1601 in my pocket.
So I like to calculate 1000-727=273 first.
I know that     .
I can calculate that easily from left to right by calculating 9 minus each digit except the last one.


For the ones digit, I do 10 minus the ones digit.

So if I pay with a $1000 bill for something that costs $727, I will get $273 back.
Since I still have $1601 in my pocket, when I add the $273 that I got as change, I will have
$1601 + $273 = $1874.
That's how I calculate 2601-727=1874
THE WAY IT IS TAUGHT:
The way that calculation is taught is illustrated by this cartoon calculation 
You line up the ones digits, the tens digits, the hundreds digits and so on.
Then you would start subtracting the ones first, then the tens, then the hundreds, and so on.
However, when you find you cannot subtract, you have to make some adjustments.
In this case, as you find you cannot subtract 7 ones from 1 one,
you "borrow" change for a ten from a make-believe bank.
The bank writes a red 1 on top of your tens column, to show that you owe the bank 1 ten.
You get 10 ones, which added to the 1 one you had gives you 11.
Now that you have 11 ones you can subtract 7 from 11 to get 4 ones.
You write 4 as a result for your ones column below the 7.
Now you are ready to deal with the tens.
You have to subtract 2 tens and you also have to pay 1 ten to the bank.
However, you have no tens in 2601.
You borrow change for 1 hundred from the bank.
The bank writes a red 1 at the top of the hundreds column, above the 6, to record that you owe 1 hundred, and gives you 10 tens as change for the borrowed 1 hundred.
Now you have 10 tens, you pay back the 1 ten that you owed the bank, and subtract the 2 tens you had to subtract, leaving you with 7 tens.

You write 7 as the result for the tens at the bottom of your tens column, below the 2.
Now you are ready to deal with the hundreds.
You have 6 hundreds in 2601.
However you need to subtract 7 hundreds, and you still owe 1 hundred to the bank.
You borrow 1 thousand in change from the bank.
The bank writes a red 1 at the top of the thousands column to show that you owe a thousand, and gives you 10 hundreds as change for the 1 borrowed thousand.
Now you have the 10 hundreds you got from the bank plus the 6 you originally had.
That makes 16 hundreds.
You pay back 1 hundred you owed to the bank and subtract the 7 hundreds you had to subtract and are left with 8 hundreds.
You write 8 as a result for the hundreds at the bottom of the hundreds column, below the 7.
Now you are ready to deal with the thousands.
You have 2 thousands, and you do not have to subtract any, but you owe the bank 1 thousand.
You pay back your debt to the bank and are left with 1 thousand, which is your result for the thousands, so you write 1 as a result in the thousands column.
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