Subtract the numbers: 3,952 - 9,463 + 10,072 = ? Calculate the numbers difference and learn how to do the subtraction, column subtracting method, from right to left

The operation to perform:
3,952 - 9,463 + 10,072

Add the positive numbers together.

The operation to perform:
3,952 + 10,072

Method used below: column adding, from right to left (traditional).


Stack the numbers on top of each other.

The ones digits line up in the first column from the right.

The tens digits line up in the next column to the left.

And so on...


  3952
+ 10072

?

Add column by column; start from the column on the right.

Add the digits in the ones column:

2 + 2 = 4

4 is the ones digit.
Write it down at the base of the ones column.


    
  3952
+ 10072

     4

Add the digits in the tens column:

5 + 7 = 12

How did we add the digits? Explanation below.

Group the ones together in order to make tens:


5 + 7 =


5 + 7 =


3 + 2 + 7 =


3 + 2 + 7 =


(3 + 7) + 2 =


10 + 2 =


12


Change the order in which the numbers are added, the sum stays the same.
Break some number(s) into component parts, the sum stays the same.


The sum is a two-digit number: 12.


2 is the tens digit.
Write it down at the base of the tens column.


1 is the hundreds digit.
Carry it over to the hundreds column.
Write the digit above that column.
Add it with the rest of the digits in that column.

   1
  3952
+ 10072

    24

Add the digits in the hundreds column:

9 + 0 + 1 = 10


The sum is a two-digit number: 10.


0 is the hundreds digit.
Write it down at the base of the hundreds column.


1 is the thousands digit.
Carry it over to the thousands column.
Write the digit above that column.
Add it with the rest of the digits in that column.

  11
  3952
+ 10072

   024

Add the digits in the thousands column:

3 + 0 + 1 = 4

4 is the thousands digit.
Write it down at the base of the thousands column.


 11
  3952
+ 10072

  4024

Add the digits in the ten thousands column:

There is a single digit in this column: 1.

1 is the ten thousands digit.
Write it down at the base of the ten thousands column.


 11
  3952
+ 10072

 14024

Answer:
3,952 + 10,072 = 14,024

The initial operation has become:

3,952 - 9,463 + 10,072 =


14,024 - 9,463

Now subtract the final numbers above:
14,024 - 9,463 = ?

Method used below: column subtracting, from right to left (traditional)


Stack the numbers on top of each other.

The ones digits line up in the first column from the right.

The tens digits line up in the next column to the left.

And so on...


 14024
-  9463

?

Subtract column by column; start from the column on the right

Subtract the digits in the ones column:

4 - 3 = 1.
1 is the ones digit.
Write it down at the base of the ones column.


 14024
-  9463

     1

Subtract the digits in the tens column:

2 - 6 = ?

The second digit is larger than the first.
Borrow from the next column to the left.

In this case we borrow across zero(s), a multiple step process:


Subtract 1 from the top digit in the column directly to the left.
But that digit is zero. You need to go further left.


Subtract 1 from the nearest column to the left with a non-zero top digit.
That is the column of the thousands: 4 - 1 = 3.
Cross out the top digit you've borrowed 1 from: 4.
Write the answer above that digit: 3.


Cross out the zero(s) that you were going across to the left: 0.
Write a 9 above each one of the crossed out zeros.
Why? In fact we have subtracted 1 from 40: 40 - 1 = 39.


When borrowing, 1 hundred = 10 tens.
Add 10 to the top digit in the column of the tens: 10 + 2 = 12.


  39  
 140124
-  9463

     1

After borrowing, the subtraction has become:
12 - 6 = 10 + 2 - 6 = 10 + 2 - 6 = 2 + (10 - 6) = 2 + 4 = 6.
6 is the tens digit.
Write it down at the base of the tens column.


  39  
 140124
-  9463

    61

Subtract the digits in the hundreds column:

0 9 - 4 = 5.
5 is the hundreds digit.
Write it down at the base of the hundreds column.


  39  
 140124
-  9463

   561

Subtract the digits in the thousands column:

4 3 - 9 = ?

The second digit is larger than the first.
Borrow from the next column to the left.

Subtract 1 from the top digit in the column of the ten thousands: 1 - 1 = 0.
Cross out the top digit you've borrowed 1 from: 1.
Write the answer above that digit: 0.


When borrowing, 1 ten thousand = 10 thousands.
Add 10 to the top digit in the column of the thousands: 10 + 3 = 13.


 0139  
 140124
-  9463

   561

After borrowing, the subtraction has become:
13 - 9 = 10 + 3 - 9 = 10 + 3 - 9 = 3 + (10 - 9) = 3 + 1 = 4.
4 is the thousands digit.
Write it down at the base of the thousands column.


 0139  
 140124
-  9463

  4561

Subtract the digits in the ten thousands column:

There is a single digit in this column: 1 0.
0 is the ten thousands digit.
Write it down at the base of the ten thousands column.


 0139  
 140124
-  9463

 04561

Leading zeros

When leading zeros occupy the most significant digits of a natural number, they could be left blank and the numeric value stays the same:

04561 = 4561

Final answer:
3,952 - 9,463 + 10,072 = 4,561

How to subtract the numbers:
- 3,958 - 9,466 + 10,075 = ?


Subtraction Calculator: Subtract Numbers & Learn to Calculate the Difference

1. Stack the numbers on top of each other. 2. Subtract column by column starting from the column on the right.

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