# CLASS-3FOUR DIGIT SUBTRACTION WITH REGROUPING

FOUR DIGIT SUBTRACTION WITH REGROUPING

Q.1) Subtract  3665 from 7431

METHOD -

Step.1. – Subtract the ‘Ones’, But, 1 ‘Ones’ <  5 ‘Ones’,there are not enough ‘Ones’, so, Re-group. 1 One 3 Tens 4 Hundreds 7 Thousand, so add/place 1  before 1 ‘Ones’ , now the number stands 11 and then subtract  5 Ones from 11 Ones. 11 ‘Ones’ – 5 ‘Ones’ = 6 ‘Ones’ .    Write 6 in the ‘Ones’ column

Step 2. – In Step 1. We have placed/added 1 before 1 ‘Ones’ and Now, to balance subtract 1 from 3 ‘Tens’ and then the number stands at 2 ‘Tens’.  Now, subtract 6 Tens from 2 Tens , but the same problem arise, i.e. 2 ‘Tens’ <  6 ‘Tens’. There are not enough ‘Tens’, so, Re-group, add/place 1 before 2 Tens and the numbers stands at 12 Tens. Now, subtract  6 ‘Tens’ from ‘12’ Tens.

12 ‘Tens’ - 6 ‘Tens’ = 6 ‘Tens’.

Write  6 in the ‘Tens’ column .

Step.3. – In Step2. We have placed/added 1 before 2 ‘Tens’ and now to balance subtract 1 from 4 ‘Hundreds’ and the number stands at 3 ‘Hundreds’. Now, subtract 6 ‘Hundreds’ from 3 ‘Hundreds’.  but the same problem arise, i.e. 3 ‘Hundreds’ <  6 ‘Hundreds’, There are not enough ‘Hundreds’, so, Re-group, add/place 1 before 3 Hundreds and the numbers stands at 13 Hundreds. Now, subtract  6 ‘Hundreds’ from 13 ‘Hundreds’.

13 Hundreds – 6 Hundreds = 7 Hundreds.

Write 7 in the Hundreds column

Step 4. – In Step 3. We have placed/added 1 before 3 ‘Hundreds’ and now to balance subtract 1 from 7 ‘Thousands’ and the number stands at 6 ‘Thousands’. Now, subtract 3 ‘Thousands’ from 6 ‘Thousands’.

6 Thousands – 3 Thousands = 3 Thousand.

So, the answer is 3766 (Ans.)

Q.2) Subtract  4325 from 3457

METHOD -

Step. 1 – Subtract the ‘Ones’ But, 5 ‘Ones’ <  7 ‘Ones’ There are not enough ‘Ones’, so, Re-group 5 One 2 Tens 3 Hundreds 4 Thousand, so add/place 1  before 5 ‘Ones’ , now the number stands 15 and then subtract  7 Ones from 15 Ones.

15 ‘Ones’ – 7 ‘Ones’ = 8 ‘Ones’.

Write 8 in the ‘Ones’ column.

Step. 2 – In Step 1. We have placed/added 1 before 5 ‘Ones’ and Now, to balance subtract 1 from 2 ‘Tens’ and then the number stands at 1 ‘Ten’ . Now, subtract 5 Tens from 1 Ten , but the same problem arise, i.e. 1 ‘Ten’ <  5 ‘Tens’. There are not enough ‘Tens’, so, Re-group, add/place. 1 before 1 Tens and the numbers stands at 11 Tens. Now, subtract  5 ‘Tens’ from ‘11’ Tens.

11 ‘Tens’ - 5 ‘Tens’ = 6 ‘Tens’.

Write  6 in the ‘Tens’ column .

Step 3. – In Step2. We have placed/added 1 before 1 ‘Tens’ and now to balance subtract 1 from  3 ‘Hundreds’ and the number stands at 2 ‘Hundreds’. Now, subtract 4 ‘Hundreds’ from 2 ‘Hundreds’. but the same problem arise, i.e. 2 ‘Hundreds’ <  4 ‘Hundreds’, There are not enough ‘Hundreds’, so, Regroup, add/place 1 before 2 Hundreds and the numbers stands at 12 Hundreds. Now, subtract  4 ‘Hundreds’ from 12 ‘Hundreds’.

12 Hundreds – 4 Hundreds = 8 Hundreds.  Write 8 in the Hundreds column.

Step 4. – In Step 3. We have placed/added 1 before 2 ‘Hundreds’ and now to balance subtract 1 from 4 ‘Thousands’ and the number stands at 3 ‘Thousands’.   Now, subtract 3 ‘Thousands’ from 3 ‘Thousands’.

3 Thousands – 3 Thousands = 0 Thousand.

So, the answer is 868 (Ans.)

Q.3) Subtract 7394 from 4465

METHOD -

Step 1. – Subtract the ‘Ones’ But, 4 ‘Ones’ <  5 ‘Ones’ There are not enough ‘Ones’, so, Re-group 4 One 9 Tens 4 Hundreds 7 Thousand, so add/place 1  before 4 ‘Ones’ , now the number stands 14 and then subtract  5 Ones from 14 Ones.

14 ‘Ones’ – 5 ‘Ones’ = 9 ‘Ones’

Write 9 in the ‘Ones’ column

Step 2. – In Step 1. We have placed/added 1 before 4 ‘Ones’ and Now, to balance subtract 1 from 9 ‘Tens’ and then the number stands at 8 ‘Ten’ Now, subtract 6 Tens from 8 Ten ,

8 ‘Tens’ - 6 ‘Tens’ = 2 ‘Tens’

Write 2 in the ‘Tens’ column

Step.3.– Now, subtract 4 ‘Hundreds’ from 3 ‘Hundreds’. but the problem is, i.e. 3 ‘Hundreds’ < 4 ‘Hundreds’, There are not enough ‘Hundreds’, so, Re-group, add/place 1 before 3 Hundreds and the numbers stands at 13 Hundreds. Now, subtract  4 ‘Hundreds’ from 13 ‘Hundreds’.

13 Hundreds – 4 Hundreds = 9 Hundreds.

Write 9 in the Hundreds column.

Step.4 – In Step 3. We have placed/added 1 before 3 ‘Hundreds’ and now to balance subtract 1 from 7 ‘Thousands’ and the number stands at 6 ‘Thousands’. Now, subtract 4 ‘Thousands’ from 6 ‘Thousands’.

6 Thousands – 4 Thousands = 2 Thousand.

So, the answer is 2929 (Ans.)