If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

## Numbers & Operations - The Real & Complex Number Systems 201-210

### Course: Numbers & Operations - The Real & Complex Number Systems 201-210>Unit 2

Lesson 3: Subtracting multi-digit numbers

# Multi-digit subtraction: 389,002-76,151

Subtract 389,002-76,151 using the standard algorithm.

## Want to join the conversation?

• is there any more methods
• Yes! There’s a Vedic (Indian) method of subtraction.

We subtract one column at a time. When the bottom number is bigger we subtract in the reverse order but put a bar over the digit in the answer. Bar digits can be thought of as negative digits!

We then convert from bar digits to a normal number using the following steps:

1) For each group of one or more 0’s (if any) immediately to the left of a group of one or more bar digits, we also put bars on those 0’s.

2) For each group of bar digits after the previous step:

a) We subtract “all from 9 except last from 10”.

b) We take away 1 from the digit immediately to the left of the group of bar digits.

This might seem hard to understand at first, but it should become easier to understand when you read the example below.

Example: 676,354,508 - 146,378,168.

We could go right to left, or left to right. Let’s go left to right.

From left to right:
6-1 = 5.
7-4 = 3.
6-6 = 0.
3-3 = 0.
5-7 = 2bar (because 7-5 = 2).
4-8 = 4bar (because 8-4 = 4).
5-1 = 4.
0-6 = 6bar (because 6-0 = 6).
8-8 = 0.

So we have 5 3 0 0 2bar 4bar 4 6bar 0.

We now need to convert to a normal number.

1) We have a group of two 0’s immediately to the left of the group of bar digits 2bar 4bar. So we put bars on these two 0’s.

So we now have 5 3 0bar 0bar 2bar 4bar 4 6bar 0.

2) We have the two groups of bar digits 0bar 0bar 2bar 4bar, and 6bar.

For the group 0bar 0bar 2bar 4bar:
a) 9-0 = 9.
9-0 = 9.
9-2 = 7.
10-4 = 6.

b) The 3 immediately to the left of this group becomes a 2.

For the group 6bar:
a) 10-6 = 4.

b) The 4 immediately to the left of this group becomes a 3.

Note that the 5 on the far left and the 0 on the far right both stay as is.

Have a blessed, wonderful day!
• this is more confusing than addition
• I must admit, yes at times it is more confusing than addition but if you can get the methods and get used to it, it is really really easy
• Is there any more methods
• Of courses, this is one of the many methods.
• we already learned subtraction! why do we need this?
• because it is review and the more you practice the less mistakes that you will make and you will also be able to kind of do it in your head.

that is the reason we are doing it again.

It does not matter if I don't get a lot of votes because I am just explaining everyone why we do subtraction again
• how do you come up with this stuff
• can u make some more of these please they really help