Subtract the numbers: 4,052 - 9,526 + 10,173 = ? Calculate the numbers difference and learn how to do the subtraction, column subtracting method, from right to left

The operation to perform:
4,052 - 9,526 + 10,173

Add the positive numbers together.

The operation to perform:
4,052 + 10,173

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...


  4052
+ 10173

?

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

Add the digits in the ones column:

2 + 3 = 5

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


    
  4052
+ 10173

     5

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
  4052
+ 10173

    25

Add the digits in the hundreds column:

0 + 1 + 1 = 2

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


  1
  4052
+ 10173

   225

Add the digits in the thousands column:

4 + 0 = 4

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


 1
  4052
+ 10173

  4225

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.


 1
  4052
+ 10173

 14225

Answer:
4,052 + 10,173 = 14,225

The initial operation has become:

4,052 - 9,526 + 10,173 =


14,225 - 9,526

Now subtract the final numbers above:
14,225 - 9,526 = ?

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...


 14225
-  9526

?

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

Subtract the digits in the ones column:

5 - 6 = ?

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

The borrowing is a two step process:


Subtract 1 from the top digit in the column of the tens: 2 - 1 = 1.
Cross out the top digit you've borrowed 1 from: 2.
Write the answer above that digit: 1.


When borrowing, 1 ten = 10 ones.
Add 10 to the top digit in the column of the ones: 10 + 5 = 15.


    1 
 142215
-  9526

      

After borrowing, the subtraction has become:
15 - 6 = 10 + 5 - 6 = 10 + 5 - 6 = 5 + (10 - 6) = 5 + 4 = 9.
9 is the ones digit.
Write it down at the base of the ones column.


    1 
 142215
-  9526

     9

Subtract the digits in the tens column:

2 1 - 2 = ?

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 hundreds: 2 - 1 = 1.
Cross out the top digit you've borrowed 1 from: 2.
Write the answer above that digit: 1.


When borrowing, 1 hundred = 10 tens.
Add 10 to the top digit in the column of the tens: 10 + 1 = 11.


   111 
 142215
-  9526

     9

After borrowing, the subtraction has become:
11 - 2 = 10 + 1 - 2 = 10 + 1 - 2 = 1 + (10 - 2) = 1 + 8 = 9.
9 is the tens digit.
Write it down at the base of the tens column.


   111 
 142215
-  9526

    99

Subtract the digits in the hundreds column:

2 1 - 5 = ?

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 thousands: 4 - 1 = 3.
Cross out the top digit you've borrowed 1 from: 4.
Write the answer above that digit: 3.


When borrowing, 1 thousand = 10 hundreds.
Add 10 to the top digit in the column of the hundreds: 10 + 1 = 11.


  31111 
 142215
-  9526

    99

After borrowing, the subtraction has become:
11 - 5 = 10 + 1 - 5 = 10 + 1 - 5 = 1 + (10 - 5) = 1 + 5 = 6.
6 is the hundreds digit.
Write it down at the base of the hundreds column.


  31111 
 142215
-  9526

   699

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.


 0131111 
 142215
-  9526

   699

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.


 0131111 
 142215
-  9526

  4699

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.


 0131111 
 142215
-  9526

 04699

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:

04699 = 4699

Final answer:
4,052 - 9,526 + 10,173 = 4,699

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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