# Subtract the numbers: - 2,048 + 1,966 = ? Calculate the numbers difference and learn how to do the subtraction, column subtracting method, from right to left

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

### Rewrite the initial operation:

#### - 2,048 + 1,966 =

#### 1,966 - 2,048

## Subtract the numbers:

1,966 - 2,048 = ?

### The second number is larger than the first.

#### The answer will be negative (less than zero).

#### To subtract the numbers just reverse them:

#### 2,048 - 1,966 = ?

#### But at the end attach a minus sign in front of the result.

### 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...

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

### Subtract the digits in the ones column:

#### 8 - 6 = 2.

2 is the ones digit.

Write it down at the base of the ones column.

### Subtract the digits in the tens column:

#### 4 - 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: 2 - 1 = 1.

Cross out the top digit you've borrowed 1 from: ~~2~~.

Write the answer above that digit: 1.

#### 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 20: 20 - 1 = 19.

#### When borrowing, 1 hundred = 10 tens.

Add 10 to the top digit in the column of the tens: 10 + 4 = ^{1}4.

#### After borrowing, the subtraction has become:

14 - 6 = 10 + 4 - 6 = 10 + 4 - 6 = 4 + (10 - 6) = 4 + 4 = 8.

8 is the tens digit.

Write it down at the base of the tens column.

### Subtract the digits in the hundreds column:

~~0~~ 9 - 9 = 0.

0 is the hundreds digit.

Write it down at the base of the hundreds column.

### Subtract the digits in the thousands column:

~~2~~ 1 - 1 = 0.

0 is the thousands digit.

Write it down at the base of the thousands column.

### 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:

#### 0082 = 82

### The answer will be negative (less than zero):

#### 1,966 - 2,048 = - 82

## Final answer:

- 2,048 + 1,966 = - 82

## 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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