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.)