Minuend-subtrahend=difference

Example:Minuend is 162 and the subtrahend is 51 and we are required to subtract the numbers.

– 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

**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

What is complement of a number?