SOLUTION: I know the answer to 1,000 - 347 is 653. However, I need to know how the two zeros (after the number 1), change to the number 9 in order to solve the problem.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I know the answer to 1,000 - 347 is 653. However, I need to know how the two zeros (after the number 1), change to the number 9 in order to solve the problem.      Log On


   

Question 1203092: I know the answer to 1,000 - 347 is 653. However, I need to know how the two zeros (after the number 1), change to the number 9 in order to solve the problem.
Found 2 solutions by Theo, josgarithmetic:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
here's a reference.

http://www.numbernut.com/arithmetic/subtract-borrow.html

here's how to do it in your problem.
             thousands      hundreds     tens    units

                1              0           0       0
minus                          3           4       7

you start by subtracting 7 from 0 in the units column.
you can't do it because 7 is greater than 0.
you borrow a digit from the tens column.
you can't because the tens column is 0.
you go to the tens column and borrow a digit from the hundreds column 0.
you can't because the hundreds column is 0.
you go to the hundreds column and you borrow a digit from the thousands column.
the thousands column becomes 0 and the hundreds column becomes 10 because each succeeding digit on the left is 10 times the value of the digit on the right.

your numbers become:

             thousands      hundreds     tens    units

                0              10           0       0
minus                          3           4       7

now you go to the tens column and borrow a digit from the hundreds column.

your numbers become:

             thousands      hundreds     tens    units

                0              9           10      0
minus                          3           4       7

now you go to the ones column and  borrow a digit from the tens solumn.

your numbers become:

             thousands      hundreds     tens    units

                0              9           9      10
minus                          3           4       7

now you can do your subtraction.

starting from the units column:  10 minus 7 = 3.
next to the tens column:  9 - 4 = 5
next to the hundreds column:  9 - 3 = 6

your number becomes 653 as shown below:

             thousands      hundreds     tens    units

                0              9           9      10
minus                          3           4       7
result                         6           5       3




Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
1 0 0 0 

- 3 4 7


0-7
positive whole number?
No.

0-4
positive whole number?
No.
0-3
positive whole number?
No.

Look over on the left side, for the hundreds place.
10 hundred minus 3 hundred IS a whole number of hundreds. But you need to borrow some of them before you can subtract within the TENS column.

First part of the borrowing is to start this way: 
0  10  0  0 

-  3  4  7


and then
0  9  10  0 

-  3  4  7


and then still need to borrow for the ONES place:
0  9  9  10 

-  3  4  7

NOW the subtraction can be performed, column by column, from right to left.