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### Course: वर्ग 6 (Foundations)>Unit 1

Lesson 2: Multi digit subtraction

# 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
• can you answer me 😭
• 317,225 - 199,114 , while solving this problem, What I did was that I was easily able to subtract Hundreds, Tens and ones of both the numbers.

But, When I was subtracting 317 - 199, I thought of regrouping differently i.e. I subtracted 1 from 317( Which made it 316) and added that 1 to 199 ( To make it 200) , so that now the problem becomes 316 - 200.I well aware that answer would not be correct, but I am curious to know why? Why this step is not correct? What is mathematically wrong about the step that I had taken here. Someone please clarify. :) Regards and thank you.
• You had a good idea for a strategy, but you misunderstood the strategy. You confused a strategy for subtraction with a strategy for addition. Subtracting 1 from the top number and adding 1 to the bottom number each make the answer 1 less, overall making the answer 2 less than the correct answer. Think about it: if you have less money to start with and the price of the thing you want to buy goes up, you would end up with less, not the same amount of, money left over.

What you needed to do was to add 1 instead of subtracting 1 from the top number. Starting off with 1 more would compensate for taking 1 more away. So you needed to do 318 - 200.

Have a blessed, wonderful day!
• what is 197.8546,6 -987654321987654321