# Shortcut to subtract any 5 or 6 digit number in seconds

Shortcut to subtract any 5 or 6 digit number is a trick you can use to subtract 2 numbers in seconds.
Subtraction is the opposite of addition. Suppose we have to subtract two numbers such as 15-2=13.Then,In this subtraction the first number 15 is called the minuend meaning to be made less and the number 2 is the subtrahend meaning that which is to be subtracted and the number 13 is the difference.
Minuend-subtrahend=difference
When Minuend is larger than the subtrahend, there is no problem in subtracting.
Example:Minuend is 162 and the subtrahend is 51 and we are required to subtract the numbers.
1  6  2
–   5  1
———
1 4  1
———
We can easily get the difference whether we do it from right or left.

But what if we had to subtract 45 from 64
if we start using the method of borrowing that we are so used to from our school days no doubt we will arrive at the difference but it is not that easy.

There is a simple trick that you can use here to get the
difference easily and within seconds.

## Shortcut to subtract any 5 or 6 digit steps

Lets discuss the steps now
Step 1: Subtract the numbers of the subtrahend from the Minuend

Step 2: If any digit in subtrahend is more than Minuend then add a circle on difference you get on subtracting.
Step 3:Now wherever circle is there it means the complement of the number(10- number)
Step 4:If there is any digit before the circled number then 1 must be subtracted from the number.

We shall now consider some examples to understand better

### Examples on shortcut to subtract 5 or 6 digit number

Example 1: 47-28=?
Observe that the Minuend is 47 and Subtrahend is 28 where the unit’s place digit is more than the minuend’s units digit.
First we subtract as usual
4  7
– 2  8
———
2 1
———-

Note that 8 is more than 7 so we add a circle on 1
We find Complement of the difference(1)=10-1=9
Subtract 1 from previous number(2) as the next digit is circled
We get
4 7

-2 8
———
2  1

1  9

Ans  47-28=19

Example 2: 37-29=?
Minuend is 37 and Subtrahend is 29
First we subtract as usual
3 3
-2 9
———
1 6

Note that the unit’s place digit(9) of subtrahend is more than the unit’s place digit(3) of minuend so we add a circle on the difference

We find Complement of the difference(6)=10-6=4
Subtract 1 from previous number(1) as the next digit is circled
We get,

3 3

-2 9

———
1 6
0 4

Ans 37-29=4

Example 3: 65381-42497=?
First we subtract as usual

6 5 3 8 1
-4 2 4 9 7
—————
2 3 1 1 6

Add circle on the digits 6,1,1 as these digits of the subtrahend are more than their corresponding digits in minuend
We get,

6  5  3   8    1

-4  2  4   9    7
———————
2  3  1  1  6
———————

Now we find complements of the circled numbers
Complement of 6=10-6=4
Complement of 1=10-1=9
Complement of 1=10-1=9

We get,
6  5  3  8   1
– 4  2  4  9   7
——————-
2  3 9  9  4
——————-
Subtracting 1 from the numbers previous to the circled numbers
We get,
6  5  3  8  1
-4  2  4  9  7
——————
2  2  8  8  4
——————-

Ans   65381-42497=22884

Also see