CLASS-1
DOUBLE DIGIT 

DOUBLE DIGIT SUBTRACTION WITH RE-GROUPING -


1) Subtract 73 - 45 =?


Step 1 .- Subtract the 'Ones'

But, 3 Ones < 5 Ones

There aren't enough 'Ones', so, Re-group. 

7 Tens and 3 Ones. So, place

before 3 'Ones', now the number

stands 13 and then subtract 5 from 13

 13 'Ones' - 5 'Ones' = 8 'Ones'

 Write 8 in the 'Ones' column.


Step 2 .- In Step 1. We have placed 1 before 'Ones'

and now, to balance subtract 1

from 7 'Tens' and then the number

  stands at 6 'Tens'. Now, subtract

     4 'Tens' from 6' Ten

     6 'Tens' - 4 'Tens' = 2 'Tens'.

     Write 2 in the 'Tens' column.

     So, the answer is 28.      (Answer)








2) Subtract 58 - 49 =?

Step 1 .- Subtract the 'Ones'

But, 8 'Ones' < 9 'Ones'

There aren't enough 'Ones', so, Re-group.

5 Tens and 8 Ones. So, place

before 8 'Ones', now the number

stands 18 and then subtract 9 from 18

 18 'Ones' - 9 'Ones' = 9 'Ones'

 Write 9 in the 'Ones' column.


Step 2 .- In Step 1. We have placed 1 before 'Ones'

and now, to balance subtract 1

from 5 'Tens' and then the number

stands at 4 'Tens'. Now, subtract

 4 'Tens' from 4 'Tens'

 4 'Tens' - 4 'Tens' = 0 'Tens'.

  Write '0' in the 'Tens' column.

   So, the answer is 9.   (Answer)





3) 94 - 36 =?

Step 1 . - Subtract the 'Ones'

But, 4 'Ones' < 6 'Ones'

There aren't enough 'Ones', so, Re-group.

9 'Tens' and 4 'Ones'. So, place 1

before 4 'Ones', now the number

stands 14 and then subtract 6 from 14

 14 'Ones' - 6 'Ones' = 8 'Ones'

 Write 8 in the 'Ones' column.



Step 2 . - In Step 1. We have placed 1 before 'Ones'

and now, to balance subtract 1

from 9 'Tens' and then the number

stops at 8 'Tens'. Now, subtract

    3 'Tens' from 8 'Tens'.

    8 'Tens' - 3 'Tens' = 5 'Tens'.

    Write '5' in the 'Tens' column.

    So, the result is 58.          (Answer)

Another way of understanding -

Double-digit subtraction involves subtracting one two-digit number from another two-digit number.

Here's a step-by-step guide to help you with the process:-

Let's say we want to subtract a two-digit number (denoted as "Subtrahend") from another two-digit number (denoted as "Minuend").

Example: Subtract 37 from 59

Step 1: Write down the Minuend and the Subtrahend vertically, with the digits properly aligned.                       

                           5  9

                         - 3  7

                   ___________


Step 2:  Start from the rightmost digit (ones place) and subtract the digits in the Subtrahend from the corresponding digits in the Minuend.

9 - 7 = 2

Write down the result (2) below the line, in the ones place.                   

                       5  9

                    -  3  7
                ___________

                           2

Step 3:  Move to the next digit to the left (tens place) and subtract the digits in the Subtrahend from the corresponding digits in the Minuend.

5 - 3 = 2

Write down the result (2) below the line, in the tens place.                 

                         5  9

                       - 3  7

                ____________

                         2  2

Step 4:  The subtraction is complete. The result is 22.

So, 59 - 37 = 22.          (Answer)

Keep in mind that when subtracting, it's essential to ensure that the Minuend (the number you're subtracting from) is larger than or equal to the Subtrahend (the number you're subtracting). If the Subtrahend is larger, the result will be negative, which is a different concept altogether.

Let's say we want to subtract a two-digit number (the subtrahend) from another two-digit number (the minuend).

For example.2) let's subtract 34 from 58 :

                       

                 5   8                  (Minuend)


            -   3   4                (Subtrahend)     

       _____________


Start from the rightmost column (the ones column) and subtract the digits in that column: 8 - 4 = 4

Write down the result (4) below the line:

                5    8


             -  3    4

          ___________

                      4

Move to the next column (the tens column) and again subtract the digits in that column:

5 - 3 = 2

Write down the result (2) below the previous result:

              

               5     8


            - 3     4

      _____________

              2      4


Since there are no more columns to subtract, the operation is complete.

The result is 24.

So, 58 - 34 = 24.                (Answer)

Keep in mind that when subtracting two-digit numbers, it's important to ensure that the subtrahend is smaller than the minuend to avoid negative results. If the subtrahend is greater than the minuend, you may need to borrow (regroup) from the higher-order digits to perform the subtraction correctly.