# Subtraction of 4-Digit Numbers

We will learn about the subtraction of 4-digit numbers (without borrowing and with borrowing).

We know when one number is subtracted from another number the result obtained is called the difference. The greater number is called the minuend and the smaller number is called the subtrahend. We use subtraction when we take away, compare, to find out what does not belong to a group.

The rules of subtraction remain the same as for the number having less digits. We first write the greater number at the top. Then subtract the digits column-wise ones from ones, tens from tens, hundreds from hundreds, thousands from thousands and so on.

Subtraction of 4-digit numbers (without borrowing):

Consider some of the following examples.

1. Subtract 3276 from 5896.

Solution:

 Th            H             T              O                 5             8             9              6        -       3              2             7              6                                                              0 Subtract ones i.e., 6 - 6 = 0 and write down 0 in ones column.
 Th            H              T              O                 5             8              9              6        -       3              2              7              6                                                2              0 Subtract tens i.e., 9 - 7 = 2 and write down 2 in tens column.
 Th            H              T            O                 5             8              9             6        -        3             2              7             6                                6              2             0 Subtract hundreds i.e., 8 - 2 = 6 and write down 6 in hundreds column.
 Th           H             T               O                 5            8             9               6        -        3            2             7               6                 2             6             2              0 Subtract thousands i.e., 5 - 3 = 2 and write down 2 in thousands column.

So the difference between 5896 and 3276 is 2620.

2. Subtract 3573 from 7998.

Solution:

Th             H              T              O

7              9              9              8

-        3              5              7              3

4              4              2              5

Subtraction of 4-digit numbers (with borrowing):

Consider the following example.

1. Subtract 7864 from 9643.

Solution:

 Th           H             T              O                                              3                  13                  9            6             4               3        -        7             8             6              4                                                              9 Subtract ones: We cannot subtract 4 ones from 3 ones. So, we borrow 1 ten (1 ten and 3 ones become 13 ones). Now 13 ones - 4 ones = 9 ones. Write 9 in ones place.
 Th           H             T              O                                5                13                  9            6              4             3        -        7             8              6             4                                                7             9 Subtract tens: We cannot subtract 6 tens from 3 tens. So, we again borrow 1 hundred (1 hundred and 3 tens become 13 tens). Now 13 tens - 6 tens = 7 tens. Write 7 in tens place.
 Th           H             T             O                  8               15                  9            6             4              3        -        7             8             6             4                                7             7             9 Subtract hundreds: We cannot subtract 8 hundreds from 5 hundreds. So, we again borrow 1 thousand (1 thousand and 5 hundreds become 15 hundreds). Now 15 hundreds - 8 hundreds = 7 hundreds. Write 7 in hundreds place.
 Th           H             T              O                  8                                      9            6              4              3        -        7             8              6              4                 1             7              7              9 Subtract thousands: We can subtract 7 thousands from 8 thousands i.e., 8 thousands - 7 thousands = 1 thousands. Write 1 in thousands place.

So, the difference between 9643 and 7864 is 1779.

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